Question

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


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

(

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**