Determine which of the expression could be used to represent the following calculation.

Question

Divide the difference between 96 and 72 by 12

select all that apply

(96 - 72) divide 12

96 - (72 divide by 12)

(96 divide by 12) - 72

24 divide by 12

96 divide by 6

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Answer 1

To represent the calculation "Divide the difference between 96 and 72 by 12," we first break it down:

1. Calculate the difference between 96 and 72: \[ 96 - 72 \]

2. Divide the result by 12: \[ \frac{(96 - 72)}{12} \]

Now, let's analyze the provided options:

1. (96 - 72) divide 12: This is equivalent to \(\frac{(96 - 72)}{12}\), which directly represents the calculation. This option is correct.

2. 96 - (72 divide by 12): This means to first find \((72 \div 12)\) and then subtract that from 96, which is not what the original statement means. This option is incorrect.

3. (96 divide by 12) - 72: This means to first divide 96 by 12 and then subtract 72, which does not reflect the original calculation either. This option is incorrect.

4. 24 divide by 12: The difference between 96 and 72 is 24, and dividing that by 12 is correct, thus this is equivalent to the original problem but simplified. This option is correct.

5. 96 divide by 6: This is equal to 16, which does not relate to the difference between 96 and 72 or the division by 12, therefore it does not represent the original calculation. This option is incorrect.

In conclusion, the expressions that could be used to represent the original calculation are:

• (96 - 72) divide 12
• 24 divide by 12