To determine which expressions represent the calculation "divide the difference between 96 and 72 by 12," we need to look for the expression that accurately represents this operation step-by-step:
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Calculate the difference between 96 and 72: \( 96 - 72 = 24 \)
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Divide that difference by 12: \( 24 ÷ 12 = 2 \)
Now we will analyze each option to see if it matches this process:
A: \( (96 - 72) ÷ 12 \)
- This expression calculates the difference first and then divides by 12.
- Result: \( 24 ÷ 12 = 2 \) (This is correct)
B: \( 96 - (72 ÷ 12) \)
- This computes \( 72 ÷ 12 = 6 \) first, and then subtracts it from 96: \( 96 - 6 = 90 \)
- Result: 90 (This is incorrect)
C: \( (96 ÷ 12) - 72 \)
- This computes \( 96 ÷ 12 = 8 \) first, and then subtracts 72: \( 8 - 72 = -64 \)
- Result: -64 (This is incorrect)
D: \( 24 ÷ 12 \)
- This calculates \( 24 ÷ 12 = 2 \) (This is correct but does not explicitly represent the difference between 96 and 72)
- Result: 2 (This is technically correct but does not show the full operation)
E: \( 96 ÷ 6 \)
- This computes \( 96 ÷ 6 = 16 \)
- Result: 16 (This is incorrect)
In conclusion, the expressions that represent the calculation are:
- A: \( (96 - 72) ÷ 12 \)
- D: \( 24 ÷ 12 \) (though it's less descriptive)
Therefore, the correct choices are A and D.
1 answer