Question

Use the order of operations to simplify 5×{(300−95÷5) − [3×17−(8−2×3)]}
(1 point)
Responses

Answer 1

To simplify the expression \( 5 \times \{(300 - 95 \div 5) - [3 \times 17 - (8 - 2 \times 3)]\} \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

Let's break this down step by step.

1. Calculate \( 95 \div 5 \):
\[
95 \div 5 = 19
\]

2. Substitute this back into the expression:
\[
5 \times \{(300 - 19) - [3 \times 17 - (8 - 2 \times 3)]\}
\]

3. Now calculate \( 300 - 19 \):
\[
300 - 19 = 281
\]

4. Now we have:
\[
5 \times \{281 - [3 \times 17 - (8 - 2 \times 3)]\}
\]

5. Next, calculate \( 2 \times 3 \):
\[
2 \times 3 = 6
\]

6. Substitute this back into the bracket:
\[
8 - 6 = 2
\]

7. Now calculate \( 3 \times 17 \):
\[
3 \times 17 = 51
\]

8. Substitute this back into the expression:
\[
5 \times \{281 - [51 - 2]\}
\]

9. Calculate \( 51 - 2 \):
\[
51 - 2 = 49
\]

10. Now substitute back:
\[
5 \times \{281 - 49\}
\]

11. Calculate \( 281 - 49 \):
\[
281 - 49 = 232
\]

12. Finally, multiply by 5:
\[
5 \times 232 = 1160
\]

Therefore, the simplified expression is:
\[
\boxed{1160}
\]