Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Select all that apply.
A. ( 96 − 72 ) ÷ 12
B. 96 − ( 72 ÷ 12 )
C. ( 96 ÷ 12 ) − 72
D. 24 ÷ 12
E. 96 ÷ 6
A. ( 96 − 72 ) ÷ 12
theres another answer
C. ( 96 ÷ 12 ) − 72 also represents the given calculation.
To determine which expressions could be used to represent the given calculation, let's break down the steps:
1. Find the difference between 96 and 72: 96 - 72 = 24.
2. Divide the difference by 12.
Now, let's check each expression to see if it follows these steps:
A. (96 - 72) ÷ 12
1. The expression calculates the difference: (96 - 72) = 24.
2. The difference is divided by 12: 24 ÷ 12 = 2.
B. 96 - (72 ÷ 12)
1. The expression divides 72 by 12 first: 72 ÷ 12 = 6.
2. Then, it subtracts 6 from 96: 96 - 6 = 90.
C. (96 ÷ 12) - 72
1. The expression divides 96 by 12 first: 96 ÷ 12 = 8.
2. Then, it subtracts 72 from 8: 8 - 72 = -64.
D. 24 ÷ 12
1. The expression directly divides 24 by 12: 24 ÷ 12 = 2.
E. 96 ÷ 6
1. The expression directly divides 96 by 6: 96 ÷ 6 = 16.
Based on the steps we outlined earlier, expression A (96 - 72) ÷ 12 is the correct representation of the given calculation. Therefore, the answer is A.