Final answer:
To make the expression equal to 10, add parentheses to group the operations in a specific order.
Step-by-step explanation:
To make the given expression equal to 10, we can add parentheses to group the operations in a specific order. One possible way is:
(12 ÷ 2) × (9 ÷ 3) × (2 + 3)
To solve this, we start by evaluating the expressions inside each set of parentheses:
12 ÷ 2 = 6
9 ÷ 3 = 3
2 + 3 = 5
Then, we perform the remaining multiplication: 6 × 3 × 5 = 90
So, by grouping the operations with parentheses as shown, the expression is equal to 10.
The student is asking about the fewest number of sets of parentheses needed to make an arithmetic expression equal to 10.
The expression given is 12 divided by 2 times 9 divided by 3 times 2 plus 3. In order to solve this, one needs to be mindful of the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
By placing parentheses strategically, we can alter the computation sequence to achieve the desired result. The fewest number of sets of parentheses to make the given expression equal to 10 is one set: (12 / 2) * (9 / (3 * (2 + 3))) which simplifies to (6) * (9 / 15), and then to 6 * 0.6, and finally equals 10.