Question

What is the value of the expression?

75÷5−[(9−7)×3]×2

Enter your answer in the box.

Answer 1

To evaluate the expression \( 75 \div 5 - [(9 - 7) \times 3] \times 2 \), we will follow the order of operations (PEMDAS/BODMAS).

1. **Parentheses**: Start with the expression inside the brackets:
\[
9 - 7 = 2
\]

2. **Multiplication inside the brackets**: Now substitute back into the expression:
\[
(2 \times 3) \times 2
\]
Calculate \( 2 \times 3 \):
\[
2 \times 3 = 6
\]
So now we have:
\[
[(9 - 7) \times 3] \times 2 = 6 \times 2 = 12
\]

3. **Division**: Now substitute this into the original expression:
\[
75 \div 5 - 12
\]
Calculate \( 75 \div 5 \):
\[
75 \div 5 = 15
\]

4. **Final Subtraction**: Now, we need to subtract 12 from 15:
\[
15 - 12 = 3
\]

Thus, the value of the expression \( 75 \div 5 - [(9 - 7) \times 3] \times 2 \) is:
\[
\boxed{3}
\]