Final answer:
To solve the expression −8(6×7−4×9), first perform the multiplications inside the parentheses (6×7 and 4×9), then subtract the second result from the first, and finally multiply by −8. The final answer to the expression is −48.
Step-by-step explanation:
The question asks to simplify the expression −8(6×7−4×9). First, you need to perform the operations within the parentheses which is applying the order of operations. According to the order of operations, you must first perform the multiplication before the subtraction.
So you would calculate 6×7 which equals 42 and then calculate 4×9 which equals 36. Next, you subtract the second product from the first within the parentheses: 42 − 36, which equals 6. Finally, you multiply the result by −8 to get the final answer.
Here's a step-by-step breakdown:
- Calculate 6×7 = 42.
- Calculate 4×9 = 36.
- Perform the subtraction: 42 − 36 = 6.
- Multiply by −8: −8 × 6 = −48.
Therefore, the result of the expression −8(6×7−4×9) is −48.
To solve the expression −8(6×7−4×9), we need to follow the order of operations, which is also known as PEMDAS or BODMAS.
1. Calculate the values inside the parentheses: 6×7 is 42 and 4×9 is 36.
2. Subtract the value obtained in step 2 from the value obtained in step 1: 42 - 36 = 6.
3. Multiply the result from step 3 by -8: -8×6 = -48.
Therefore, the result of the expression −8(6×7−4×9) is -48.