What is the value of the expression?

Question

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: \[ \boxed{3} \]