An equivalent expression that includes a set of parentheses that make the value of the expression 5 is ((32 ÷ (10 - 8)) ÷ 2) - 3.
In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
32 ÷ 10 - 8 ÷ 2 - 3
Next, we would regroup the expression to create an equivalent expression that simplifies to 5 as follows;
32 ÷ (10 - 8) ÷ 2 - 3.
(32 ÷ (10 - 8)) ÷ 2 - 3.
((32 ÷ (10 - 8)) ÷ 2) - 3.
Check:
((32 ÷ (10 - 8)) ÷ 2) - 3.
((32 ÷ 2) ÷ 2) - 3.
(16 ÷ 2) - 3.
8 - 3
5
Complete Question:
Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can have 2 or more numbers within the set of parentheses.
32 ÷ 10 - 8 ÷ 2 - 3