موقع سبورة - طلاب السعودية

حلول الأسئلة

السؤال

يبلغ عدد كروموسومات الإنسان ٤٦ والذي يساوي right to left ٣ over ٤ عدد كروموسومات ذبابة الفاكهة فما عدد كروموسومات هذه الذبابة؟

الحل

٤٦ ÷ right to left ٣ over ٤ = right to left ٤٦ over ١ divided by ٢٣ over ٤ equals fraction numerator down diagonal strike ٤٦ over denominator ١ end fraction to the power of left parenthesis ٢ right parenthesis end exponent cross times fraction numerator ٤ over denominator down diagonal strike ٢٣ end fraction space equals كروموسومات.

شاهد حلول جميع الاسئلة

مشاركة الحل

فايسبوك
واتساب
تيليجرام
طباعة

حل أسئلة تدرب وحل المسائل

قسمة الأعداد

تدرب

أوجد ناتج القسمة في كل مما يأتي، واكتبه في أبسط صورة:

٦- right to left ١ over ٢ ٥ space divided b

= right to left ١١ over ٢ divided by ٢ over ١ equals ١١ over ٢ cross times ١ over ٢ equals ١١ over ٤ equa

٧- right to left ١ over ٦ ٤ divided by ١٠ space

= right to left ٢٥ over ٦ divided by ١٠ over ١ equals fraction numerator down diagonal strike ٢٥ over denominator ٦ end fraction to the power of left parenthesis ٥ right parenthesis end exponent cross times fraction numerator ١ over denominator down diagonal strike ١٠ end fraction subscript left parenthesis ٢ right parenthesis end subscript eq

٨- ٣ ÷ right to left ١ over ٢

= right to left ٣ over ١ divided by ٩ over ٢ equals fraction numerator down diagonal strike ٣ over denominator ١ end fraction cross times fraction numerator ٢ over denominator down diagonal strike ٩ end fraction subscript left parenthesis ٣ right parenthesis end subscript equals

٩- ٦÷ right to left ١ over ٤

= right to left ٦ over ١ divided by ٩ over ٤ equals ٦ over ١ cross times ٤ over ٩ equals ٨ over ٣ equals

١٠- right to left ١ over ٢ ٦ divided by ٣ over

= right to left ١٣ over ٢ divided by ٣ over ٤ equals space fraction numerator ١٣ over denominator down diagonal strike ٢ end fraction cross times fraction numerator down diagonal strike ٤ over denominator ٣ end fraction to the power of left parenthesis ٢ right parenthesis end exponent equals ٢٦ over ٣ equ

١١- right to left ٤ over ٥ ٧ divided by ١ over

= right to left ٣٩ over ٥ divided by ١ over ٥ equals space fraction numerator ٣٩ over denominator down diagonal strike ٥ end fraction cross times fraction numerator down diagonal strike ٥ over denominator ١ end fraction

الجبر: إذا كانت أ = right to left ٤ over ٥ ، ب = right to left ٢ over ، جـ = ٦ ، د = right to left ١ over ٢ فاحسب قيمة كل عبارة مما يأتي:

١٢- أ = ١٢ ÷ right to left ٤ over ٥

= right to left ١٢ over ١ divided by ٢٤ over ٥ equals space fraction numerator down diagonal strike ١٢ over denominator ١ end fraction cross times fraction numerator ٥ over denominator down diagonal strike ٢٤ end fraction subscript left parenthesis ٢ right parenthesis end subscript equals ٥ over ٢ eq

١٣- ب ÷ right to left ٢ over ٩

= right to left ٢ over ٣ divided by ٢ over ٩ ١ equals ٢ over ٣ divided by ١١ over ٩ equals fraction numerator ٢ over denominator down diagonal strike ٣ end fraction cross times fraction numerator down diagonal strike ٩ over denominator ١١ end fraction to the power of left parenthesis ٣ right parenthesis end exponent

١٤- ‌أ ÷ ب

= right to left ٤ over ٥ ÷ right to left ٢ over = right to left ٢٤ over ٥ divided by ٢ over ٣ equals ٢٤ over ٥ cross times ٣ over ٢ equals ٣٦ over ٥ equa

١٥- right to left ٤ over ٥ ÷ ٦

= right to left ٤ over ٥÷ ٦ = right to left ٢٤ over ٥ divided by ٦ over ١ equals space ٢٤ over ٥ cross times ١ over ٦ equals spac

١٦- جـ ÷ (أب)

= ٦ ÷ (right to left ٤ over ٥ × right to left ٢ over ) = ٦ ÷ (right to left fraction numerator down diagonal strike ٢٤ over denominator ٥ end fraction to the power of left parenthesis ٨ right parenthesis end exponent cross times fraction numerator ٢ over denominator down diagonal strike ٣ end fraction equals space ٦ over ١ divided by ١٦ over ٥ equals space fraction numerator down diagonal strike ٦ over denominator ١ end fraction to the power of left parenthesis ٣ right parenthesis end exponent space cross times fraction numerator ٥ over denominator down diagonal strike ١٦ end fraction subscript left parenthesis ٨ right parenthesis end subscript equals ١٥ over

١٨- علوم: يبلغ عدد كروموسومات الإنسان ٤٦ والذي يساوي right to left ٣ over ٤ عدد كروموسومات ذبابة الفاكهة فما عدد كروموسومات هذه الذبابة؟

٤٦ ÷ right to left ٣ over ٤ = right to left ٤٦ over ١ divided by ٢٣ over ٤ equals fraction numerator down diagonal strike ٤٦ over denominator ١ end fraction to the power of left parenthesis ٢ right parenthesis end exponent cross times fraction numerator ٤ over denominator down diagonal strike ٢٣ end fraction space equals كروموسومات.

١٩- القياس: قسم شريط طوله right to left ١ over ٢ سم إلى قطع طول كل منها right to left ١ over ٤ سم فما عدد هذه القطع؟

right to left ١ over ٢ ÷ right to left ١ over ٤ = right to left ٢٧ over ٢ divided by space ٩ over ٤ equals space fraction numerator down diagonal strike ٢٧ over denominator down diagonal strike ٢ end fraction to the power of left parenthesis ٣ right parenthesis end exponent cross times fraction numerator down diagonal strike ٤ over denominator down diagonal strike ٩ end fraction to the power of left parenthesis ٢ right parenthesis end exponent eq قطع

٢٠- قهوة: وزعت right to left ٣ over ٨ كجم من القهوة على عبوات بالتساوي فاحتوت كل عبوة right to left ٣ over على كجم فما عدد هذه العبوات؟

right to left ٣ over ٨ ÷ right to left ٣ over = right to left ٥١ over ٨ divided by ٣ over ٨ equals space ٥١ over ٨ cross times ٨ over ٣ equal عبوة.

٢١- زينة: يراد تزيين جدار طوله right to left ١ over ٤ م بأشرطة طول كل قطعة منها table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table م. أوجد عدد القطع المطلوبة.

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table قطعة.

٢٢- رياضة: مشى كل من محمد وعلي وخالد حول أحد المتنزهات والذي طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كيلو متر كما هو موضح في الجدول المجاور. كم مرة مشى كل منهم حول المتنزه؟

مثال

عدد مرات مشي محمد = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

عدد مرات مشي علي = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

عدد مرات مشي خالد = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

٢٣- اكتشف المختلف: حدد العبارة التي ناتج القسمة فيها أكبر من ١، ووضح إجابتك.

مثال

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table لأن ٣ ÷ ٢ أكبر من ١ أما في باقي العبارات فإن العدد الأصغر قسم على عدد أكبر منه فكان ناتج القسمة أصغر من ١.

٢٤- تحد: بين ما إذا كان ناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table أكبر من أو أصغر من ناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table من دون إجراء عملية القسمة؟ وضح إجابتك.

ناتج القسمة أصغر من حيث يجب تقسيم نموذج الكسر table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table إلى أجزاء أكثر في الحالة الأولى وعند التقسيم إلى عدد أكبر من الأجزاء يصبح الجزء أصغر.

٢٥- اكتب بأسلوبك طريقة إيجاد ناتج قسمة ١٢ على table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

نكتب ١٢ على هيئة كسر غير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نحول الكسر إلى كسر غير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table نكتب الكسر table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة أخرى ثم نضرب في مقلوب الكسر الغير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نختصر بقسمة ٨ و١٢ على ٤ وأخيراً نقوم بعملية الضرب ويكون الناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نكتبه في صيغة كسر فعلى table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

تدريب على اختبار

٢٦- عندما يرتطم نيزك بسطح الأرض يكون حفرة دائرية تقريباً. إذا كانت أعمق حفرة كونها نيزك على سطح الأرض تساوي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ميل تقريباً وبقطر طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ميل تقريباً فكم مرة تقريباً طول القطر يساوي عمق هذه الحفرة؟

أ. ٢٠

ب. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

جـ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

د. ٥

٢٧- تحتاج الهنوف إلى table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة من الحليب المجفف لعمل table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كوب من العصير المشكل فكم ملعقة من الحليب المجفف تحتاج لعمل كوب واحد من العصير؟

أ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

ب. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

جـ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

د. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

مشاركة الدرس

فايسبوك
واتساب
تيليجرام
طباعة

السؤال

يبلغ عدد كروموسومات الإنسان ٤٦ والذي يساوي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table عدد كروموسومات ذبابة الفاكهة فما عدد كروموسومات هذه الذبابة؟

الحل

٤٦ ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كروموسومات.

حل أسئلة تدرب وحل المسائل

قسمة الأعداد

تدرب

أوجد ناتج القسمة في كل مما يأتي، واكتبه في أبسط صورة:

٦- table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

٧- table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

٨- ٣ ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

٩- ٦÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٠- table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١١- table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

الجبر: إذا كانت أ = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ، ب = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ، جـ = ٦ ، د = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table فاحسب قيمة كل عبارة مما يأتي:

١٢- أ = ١٢ ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٣- ب ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٤- ‌أ ÷ ب

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٥- table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ ٦

= table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table÷ ٦ = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٦- جـ ÷ (أب)

= ٦ ÷ (table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table × table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table) = ٦ ÷ (table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

١٨- علوم: يبلغ عدد كروموسومات الإنسان ٤٦ والذي يساوي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table عدد كروموسومات ذبابة الفاكهة فما عدد كروموسومات هذه الذبابة؟

٤٦ ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end tableكروموسومات.

١٩- القياس: قسم شريط طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table سم إلى قطع طول كل منها table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table سم فما عدد هذه القطع؟

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table قطع

٢٠- قهوة: وزعت table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كجم من القهوة على عبوات بالتساوي فاحتوت كل عبوة table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table على كجم فما عدد هذه العبوات؟

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table عبوة.

٢١- زينة: يراد تزيين جدار طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table م بأشرطة طول كل قطعة منها table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table م. أوجد عدد القطع المطلوبة.

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ÷ table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table قطعة.

٢٢- رياضة: مشى كل من محمد وعلي وخالد حول أحد المتنزهات والذي طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كيلو متر كما هو موضح في الجدول المجاور. كم مرة مشى كل منهم حول المتنزه؟

مثال

عدد مرات مشي محمد = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

عدد مرات مشي علي = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

عدد مرات مشي خالد = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة.

٢٣- اكتشف المختلف: حدد العبارة التي ناتج القسمة فيها أكبر من ١، ووضح إجابتك.

مثال

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table لأن ٣ ÷ ٢ أكبر من ١ أما في باقي العبارات فإن العدد الأصغر قسم على عدد أكبر منه فكان ناتج القسمة أصغر من ١.

٢٤- تحد: بين ما إذا كان ناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table أكبر من أو أصغر من ناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table من دون إجراء عملية القسمة؟ وضح إجابتك.

ناتج القسمة أصغر من حيث يجب تقسيم نموذج الكسر table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table إلى أجزاء أكثر في الحالة الأولى وعند التقسيم إلى عدد أكبر من الأجزاء يصبح الجزء أصغر.

٢٥- اكتب بأسلوبك طريقة إيجاد ناتج قسمة ١٢ على table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

نكتب ١٢ على هيئة كسر غير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نحول الكسر إلى كسر غير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table نكتب الكسر table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table مرة أخرى ثم نضرب في مقلوب الكسر الغير فعلي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نختصر بقسمة ٨ و١٢ على ٤ وأخيراً نقوم بعملية الضرب ويكون الناتج table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ثم نكتبه في صيغة كسر فعلى table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

تدريب على اختبار

٢٦- عندما يرتطم نيزك بسطح الأرض يكون حفرة دائرية تقريباً. إذا كانت أعمق حفرة كونها نيزك على سطح الأرض تساوي table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ميل تقريباً وبقطر طوله table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ميل تقريباً فكم مرة تقريباً طول القطر يساوي عمق هذه الحفرة؟

أ. ٢٠

ب. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

جـ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table

د. ٥

٢٧- تحتاج الهنوف إلى table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة من الحليب المجفف لعمل table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table كوب من العصير المشكل فكم ملعقة من الحليب المجفف تحتاج لعمل كوب واحد من العصير؟

أ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

ب. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

جـ. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

د. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell HClO not stretchy leftwards harpoon over rightwards harpoon straight H to the power of plus plus ClO to the power of minus end cell row blank cell K subscript straight a equals fraction numerator left square bracket straight H to the power of plus right square bracket left square bracket CIO to the power of minus right square bracket over denominator left square bracket HCIO right square bracket end fraction end cell end table ملعقة

الرئيسية
عن سبورة
ساهم معنا
سياسة الخصوصية
شروط الاستخدام
الإتصال بنا

© 2025 موقع سبورة - طلاب السعودية