Problem 116

Question

Use the order of operations to simplify each expression. $$8-3[-2(5-7)-5(4-2)]$$

Step-by-Step Solution

Verified

Answer

-10

1Step 1: Handle operations within the innermost parentheses

First, within the negative brackets, calculate the expressions inside the parentheses for $-2(5-7)$ and $-5(4-2)$. The arithmetic gives $-2(-2)$ and $-5(2)$ which simplifies to 4 and -10, respectively.

2Step 2: Simplify the expression further

Following the order of operations, evaluate the rest of the expressions within the brackets. It changes to $-3[4-10]$ which simplifies to $-3(-6)$ resulting in 18.

3Step 3: Final operation

Lastly, subtract the resulting number from the number outside the brackets, that is, subtract 18 from 8 which is equal to -10.

Problem 116

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