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: [tex]3^{3}[/tex] * 2 + [-4 + (-7)] ÷ (-2+4)²
Calculate within parentheses: [tex]3^{3}[/tex] *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 - [tex]\frac{11}{4}[/tex]
Add and Subtract: [tex]\frac{205}{4}[/tex]
Convert improper fractions to mixed numbers: [tex]\frac{205}{4}[/tex] = [tex]51\frac{1}{4}[/tex]
C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)
Calculate within parentheses: -4 ÷ (-3)
Multiply and divide: [tex]\frac{-4}{(-3)}[/tex]
Simplify and convert improper fraction to a mixed number:
[tex]\frac{-4}{(-3)}[/tex] = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]
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