Page 23 - math 12

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ِﺔﻳﺮﺴﻜﻟﺍ ِﺔﻳﺩﺪﻌﻟﺍ ﻞﻤﺠﻟﺍ ﻂﻴﺴﺒﺗ ُ ﺱﺭﺪﻟﺍ
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Simplifies Fraction Numerical Sentences [1-5]

ﱠ
ﻢﻠَﻌَﺗ
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ﺱﺭﺪﻟﺍ ُﺓﺮﻜﻓ
ِ
ﺕﻼﺣﺭ
ﺔﻛﺮﺷ
ﻄﺨﻟﺍ
ﻁﻮ
ﺔﻳﻮﺠﻟﺍ ﻁﻮﻄﺨﻟﺍ ﺔﻛﺮﺷ ﺕﻼﺣﺭ ﻯﺪﺣﺍ ﻰﻠﻋ ٍﺔﻳﺩﺪﻋ ٍﺔﻠﻤﺟ ﻂﻴﺴﺒﺗ
ﻰﻠ
ﻯﺪﺣﺍ
ﻋ
ﺔﻳﻮﺠﻟﺍ
ﺖﻋﺎﺑ ،ﻝﻮﺒﻨﻄﺳﺍ ﻰﻟﺍ ﺩﺍﺪﻐﺑ ﻦﻣ ﺔﻴﻗﺍﺮﻌﻟﺍ ﻰﻠﻋ ﻱﻮﺘﺤﺗ ﺔﻳﺮﺴﻛ
ﺖﻋﺎﺑ ،ﻝﻮﺒﻨﻄﺳﺍ ﻰﻟﺍ ﺩﺍﺪﻐﺑ ﻦﻣ ﺔﻴﻗﺍﺮﻌﻟﺍ
ﺮﻌﺴﺑ
ﺮﻌﺴﺑ ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻟﺍ ﺓﺮﻛﺬﺗ ﺔﻛﺮﺸﻟﺍ ﺔﻘﻠﻄﻣ ﻢﻴﻗﻭ ﺭﻭﺬﺟ
ﺔﺟﺭﺪﻟﺍ
ﺓﺮﻛﺬﺗ
ﺔﻛﺮﺸﻟﺍ
ﻰﻟﻭﻷﺍ
ﺔﻴﺣﺎﻴﺴﻟﺍ
ﺔﺟﺭﺪﻟﺍﻭ
ﺭﺎﻨﻳﺩ
ﺔﻴﺣﺎﻴﺴﻟﺍ ﺔﺟﺭﺪﻟﺍﻭ ﺭﺎﻨﻳﺩ 5.5×10 5 ٍﺔﻴﻤﻠﻋ ٍﺓﺭﻮﺻﻭ ﻯﻮﻗﻭ
ﺓﺮﺋﺎﻄﻟﺍ
ﻊﺴﺘﺗ
ﺖﻧﺎﻛ
ﺩ
.ﺭﺎﻨﻳ
ﺍﺫﺇ
ﻊﺴﺘﺗ ﺓﺮﺋﺎﻄﻟﺍ ﺖﻧﺎﻛ ﺍﺫﺇ .ﺭﺎﻨﻳﺩ 46.5×10 4 .ﺩﺪﻌﻠﻟ
ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻠﻟ ﺎﻬﻨ ﻣ ﺕﺍﺩﺮﻔﻤﻟﺍ
ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻠﻟ ﺎﻬﻨﻣ 12 ،ًﺎﻴﺳﺮﻛ 180
ﻱﺬﻟﺍ ﻎﻠﺒﻤﻟﺍ ﺎﻣ ،ﺔﻴﺣﺎﻴﺴﻟﺍ ﺔﺟﺭﺪﻠﻟ ﻲﻗﺎﺒﻟﺍﻭ . ٌﺭﺬﺟ
ﻱﺬﻟﺍ ﻎﻠﺒﻤﻟﺍ ﺎﻣ ،ﺔﻴﺣﺎﻴﺴﻟﺍ ﺔﺟﺭﺪﻠﻟ ﻲﻗﺎﺒﻟﺍﻭ
؟ﺮﻛﺍﺬﺘﻟﺍ ﻞﻛ ﺖﻌﻴﺑ ﺍﺫﺇ ﺔﻛﺮﺸﻟﺍ ﻪﻴﻨﺠﺗ .ﻞﻣﺎﻛ ٌﻊﺑﺮﻣ
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ﺩﺪﻌﻠﻟ ﺔﻴﻤﻠﻋ ٍﺓﺭﻮﺻﻭ ﻯﻮﻗ ﻰﻠﻋ ﻱﻮﺘﺤﺗ ٍﺔﻳﺩﺪﻋ ٍﺔﻠﻤﺟ ﻂﻴﺴﺒﺗ [1-5-1]
Simplifies Numerical Sentence Contain Powers and Scientific Notation Number
ﻑﻮﺳ ﻥﻻﺍﻭ، ﺔﻴﻤﻠﻌﻟﺍ ﺓﺭﻮﺼﻟﺎﺑ ﺩﺍﺪﻋﻷ ﻂﻘﻓ ﺔﻤﺴﻗﻭ ﺏﺮﺿ ﻰﻠﻋ ﻱﻮﺘﺤﺗ ٍﺔﻳﺩﺪﻋ ٍﺔﻠﻤﺟ ﻂﻴﺴﺒﺗ ﺔﻴﻔﻴﻛ ﺎﻘﺑﺎﺳ ﺖﻤﻠﻌﺗ
ﺔﻴﻤﻠﻌﻟﺍ ﺓﺭﻮﺼﻟﺎﺑ ﺩﺍﺪﻋﻷ ﺔﻤﺴﻘﻟﺍﻭ ﺏﺮﻀﻟﺍ ﻦﻋ ًﻼﻀﻓ ﺡﺮﻁﻭ ﻊﻤﺟ ﻰﻠﻋ ﻱﻮﺘﺤﺗ ٍﺔﻳﺩﺪﻋ ٍﺔﻠﻤﺟ ﻂﻴﺴﺒﺗ ﺔﻴﻔﻴﻛ ﻢﻠﻌﺘﺗ
:ﻦﻴﺘﻘﻳﺮﻄﻟﺍ ﻯﺪﺣﺇ ﻊﺒﺘﻧ ﺩﺪﻌﻠﻟ ﺔﻴﻤﻠﻋ ﺓﺭﻮﺻ ﻰﻠﻋ ﻥﺎﻳﻮﺘﺤﻳ ﻦﻳﺪﺣ ﺡﺮﻁ ﻭﺃ ﻊﻤﺟ ﺞﺗﺎﻧ ﺩﺎﺠﻳﻹﻭ
ﺡﺮﻄﻟﺍ ﻭﺃ ﻊﻤﺠﻟﺍ ﺔﻴﻠﻤﻋ ءﺍﺮﺟﺍ ﻢﺛ ًﺎﻛﺮﺘﺸﻣ ًﻼﻣﺎﻋ ﺎﻬﻔﺻﻮﺑ ﺎﻬﺟﺍﺮﺧﺍﻭ ﻦﻳﺪﺤﻠﻟ ﺓﺮﺸﻌﻟﺍ ﻯﻮﻗ ﺓﺍﻭﺎﺴﻣ :ﻰﻟﻭﻷﺍ ﺔﻘﻳﺮﻄﻟﺍ
ﺓﺮﺸﻌﻟﺍ ﻯﻮﻗ ﻞﻳﺪﻌﺗ ﻢﺛ ،ﺓﺮﺸﻌﻟﺍ ﻯﻮﻗ ﻲﻓ ًﺎﺑﻭﺮﻀﻣ ﺎﻤﻬﺠﺗﺎﻧ ﺔﺑﺎﺘﻛﻭ ﻦﻴﺳﻮﻗ ﻦﻴﺑ ﺎﻤﻫﺮﺼﺣ ﺪﻌﺑ ﻦﻴﻳﺮﺸﻌﻟﺍ ﻦﻳﺮﺴﻜﻠﻟ
.ﺔﻴﻤﻠﻌﻟﺍ ﺓﺭﻮﺼﻟﺎﺑ ﺔﺑﺎﺘﻛ ﻪﺒﻠﻄﺘﻳ ﺎﻤﺑ
ﺎﻫﺪﻌﺑﻭ ﺡﺮﻄﻟﺍ ﻭﺃ ﻊﻤﺠﻟﺍ ﺔﻴﻠﻤﻋ ءﺍﺮﺟﺍ ﻢﺛ ،ﻪﻟ ﺔﻴﻤﻠﻌﻟﺍ ﺓﺭﻮﺼﻟﺍ ﻦﻣ ﺔﻴﻤﻗﺮﻟﺍ ﺓﺭﻮﺼﻟﺎﺑ ﺩﺪﻋ ﻞﻛ ﺔﺑﺎﺘﻛ :ﺔﻴﻧﺎﺜﻟﺍ ﺔﻘﻳﺮﻄﻟﺍ
. ﻝﺍﺆﺴﻟﺍ ﻪﺒﻠﻄﺘﻳ ﺎﻣ ِﺐﺴﺤﺑ ﻭﺃ ﺔﻴﻠﻤﻌﻟﺍ ﺓﺭﻮﺼﻟﺍ ﻰﻟﺍ ﺩﺪﻌﻟﺍ ﻉﺎﺟﺭﺍ

. ﺓﺮﺋﺎﻄﻠﻟ ﺮﻔﺴﻟﺍ ﺮﻛﺍﺬﺗ ﻊﻴﻤﺟ ﺖﻋﺎﺑ ﺍﺫﺇ ﺔﻛﺮﺸﻟﺍ ﻪﻴﻨﺠﺗ ﻱﺬﻟﺍ ﻎﻠﺒﻤﻟﺍ ﺪﺟ (1) ﻝﺎﺜﻣ

:ﻰﻟﻭﻷﺍ ﺔﻘﻳﺮﻄﻟﺍ
ﻦﻴﻳﺪﺤﻠﻟ ﺓﺮﺸﻌﻟﺍ ﻯﻮﻗ ﺕﺍﻭﺎﺴﻣ
46.5 × 10 = 4.65× 10
5
4
ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻟﺍ ﺮﻛﺍﺬﺗ ﺮﻌﺳ
12 × 5.5 ×10 = 66 × 10
5
5
ﺔﻴﺣﺎﻴﺴﻟﺍ ﺔﺟﺭﺪﻟﺍ ﺮﻛﺍﺬﺗ ﺮﻌﺳ
168 × 4.65 × 10 = 781.2 × 10
5
5
66×10 + 781.2 ×10 = (66 +781.2) ×10 ًﺎﻛﺮﺘﺸﻣ ًﻼﻣﺎﻋ ﺎﻬﻔﺻﻮﺑ ﺓﺮﺸﻌﻟﺍ ﻯﻮﻗ ﺝﺍﺮﺧﺍ
5
5
5
ﻲﻗﺍﺮﻌﻟﺍ ﺭﺎﻨﻳﺪﻟﺎﺑ ﺮﻛﺍﺬﺘﻠﻟ ﻲﻠﻜﻟﺍ ﻎﻠﺒﻤﻟﺍ
= 847.2 ×10 = 8.472 ×10 7 ﱢ
5
:ﺔﻴﻧﺎﺜﻟﺍ ﺔﻘﻳﺮﻄﻟﺍ
ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻟﺍ ﺮﻛﺍﺬﺗ ﺮﻌﺳ
12 × 5.5 ×10 = 66 × 10 = 6 600 000
5
5
168 × 46.5 × 10 = 7812 × 10 = 78 120 000 ﺔﻴﺣﺎﻴﺴﻟﺍ ﺔﺟﺭﺪﻟﺍ ﺮﻛﺍﺬﺗ ﺮﻌﺳ
4
4
ﱢ
6 600 000 + 78 120 000 = 84 720 000 ﻲﻗﺍﺮﻌﻟﺍ ﺭﺎﻨﻳﺪﻟﺎﺑ ﺮﻛﺍﺬﺘﻠﻟ ﻲﻠﻜﻟﺍ ﻎﻠﺒﻤﻟﺍ
7 ﺔﻴﻤﻠﻌﻟﺍ ﺓﺭﻮﺼﻟﺎﺑ ﺩﺪﻌﻟﺍ ﺔﺑﺎﺘﻛ
= 8.472 ×10
.ﺔﻳﺮﺸﻌﻟﺍ ﺭﻮﺴﻜﻟﺍ ﻰﻠﻋ ﺕﺎﻴﻠﻤﻌﻟﺍ ءﺍﺮﺟﺍ ﻲﻓ ﺔﺒﺳﺎﺤﻟﺍ ﻝﺎﻤﻌﺘﺳﺍ ﻚﻨﻜﻤﻳ :ﺔﻈﺣﻼﻣ
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