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kassillea
@kassillea
July 2022
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Решите пример.
0,25+0,75:(0,8•2,25-2,05)
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emmaMK
1. -8/9 2. 15
Объяснение:
1.
(0,75 - 0,25 · 4,2) : 0,2(45) + 1/3 = -8/9
1) 0,25 · 4,2 = 1,05
2) 0,75 - 1,05 = -0,3
3) 0,2(45) = (245 - 2)/990 = 27/110
4) -0,3 : 27/110 = -3/10 : 27/110 = -3 · 110/(10 · 27) = -11/9
5) -11/9 + 1/3 = -11/9 + 3/9 = -8/9
2.
0,2²⁰ · 5²¹ + 2⁶ · 5⁶ : 10⁵ =
1) 0,2²⁰ · 5²¹ = (1/5)²⁰ · 5²¹ = 5⁻²⁰ · 5²¹ = 5²¹ ⁻²⁰ = 5¹ = 5
2) 2⁶ · 5⁶ = (2 · 5)⁶ = 10⁶
3) 10⁶ : 10⁵ = 10⁶⁻⁵ = 10¹ = 10
4) 5 + 10 = 15
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Answers & Comments
Объяснение:
1.
(0,75 - 0,25 · 4,2) : 0,2(45) + 1/3 = -8/9
1) 0,25 · 4,2 = 1,05
2) 0,75 - 1,05 = -0,3
3) 0,2(45) = (245 - 2)/990 = 27/110
4) -0,3 : 27/110 = -3/10 : 27/110 = -3 · 110/(10 · 27) = -11/9
5) -11/9 + 1/3 = -11/9 + 3/9 = -8/9
2.
0,2²⁰ · 5²¹ + 2⁶ · 5⁶ : 10⁵ =
1) 0,2²⁰ · 5²¹ = (1/5)²⁰ · 5²¹ = 5⁻²⁰ · 5²¹ = 5²¹ ⁻²⁰ = 5¹ = 5
2) 2⁶ · 5⁶ = (2 · 5)⁶ = 10⁶
3) 10⁶ : 10⁵ = 10⁶⁻⁵ = 10¹ = 10
4) 5 + 10 = 15