Question

Efectuați calculele:
punctele g),h),i),j)
Rezolvare pas cu pas:​

Answer 1

g)
- 3/8 - ( - 14/25 ) × ( + 75/28) = 9/8
= - 3/8 - ( - 14/28) × ( 75/25) =
= - 3/8 + (1/2) × 3 =
= - 3/8 + ⁴⁾3/2 =
= - 3/8 + 12/8 =
= 9/8 =
= 1 intreg si 1/8

h)
0,5 = (5/10)⁽⁵ = 1/2
0,25 = (25/100)⁽²⁵ = 1/4
13 intregi si 1/2 = (13×2+1)/2 = 27/2
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= 1/2 + 4/33 × ( - 1/4 + ²⁾27/2) =
= 1/2 + 4/33 × ( - 1/4 + 54/4 ) =
= 1/2 + 4/33 × ( 53/4) =
= ³³⁾1/2 + ²⁾53/33 =
= 33/66 + 106/66 =
= 139/66 =
= 2,1(06)
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i)
3,(2) = (32-3)/9 = 29/9
=( - 1/- 2 ) × [ 3,(2) - 5/27] =
= 1/2 × ( ³⁾29/9 - 5/27) =
= 1/2 × ( 87/27- 5/27) =
= 1/2 × ( 82/27) =
= ( 82/2) × 1/27 =
= 41/27 =
= 1,(518)
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j)
2³ = 8
3 intregi si 1/5 = ( 3×5+1)/5 = 16/5
0,625 = (625/1000)⁽¹²⁵ = 5/8
1,2 = (12/10)⁽² = 6/5
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= [ ( 2³ - 16/5 ) × 0,625 + 1,2 ] × 5/7 = 3
= [ (⁵⁾8 - 16/5) × 5/8 + 12/10 ] × 5/7 =
= [ ( 40/5 - 16/5) × 5/8 + 6/5 ] × 5/7 =
= ( 24/5 × 5/8 + 6/5) × 5/7 =
=( ⁵⁾3 + 6/5) × 5/7 =
= ( 15/5 + 6/5 ) × 5/7 =
= ( 21/5) × 5/7 =
= ( 21/7) × ( 5/5) =
= 3 × 1 =
= 3