Question

A. {[(-15+5)×2+8]-32÷8}-(-7)

Answer 1

Answer:

Step-by-step explanation:

The answers are:

A)  {[(-15+5)×2+8]-32÷8}-(-7)

Calculate within parentheses: -16 - (-7)

Add and subtract (left to right): -16 - (-7) = -9

B) (5-2)³×2+[-4+(-7)]÷(-2+4)²

To solve this problem, you need to follow the steps of order of operations.

Calculate within parentheses: $3^{3}$ * 2 + [-4 + (-7)] ÷ (-2+4)²

Calculate within parentheses: $3^{3}$ *2 -11 ÷ (-2+4)²

Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²

Calculate exponents: 27 × 2 -11 ÷ 4

Multiply and divide: 54 - 11 ÷ 4

Multiply and divide: 54 - $\frac{11}{4}$

Add and Subtract:  $\frac{205}{4}$

Convert improper fractions to mixed numbers: $\frac{205}{4}$ = $51\frac{1}{4}$

C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)

Calculate within parentheses: -4 ÷ (-3)

Multiply and divide:  $\frac{-4}{(-3)}$

Simplify and convert improper fraction to a mixed number:

$\frac{-4}{(-3)}$ = $\frac{4}{3}$ = $1\frac{1}{3}$

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