Question

which phrase describes the expression $\frac{1}{2}(10 + 6) - 3$?
a 3 more than half the sum of 10 and 6
b 3 less than half the sum of 10 and 6
c half the product of 10 and 6 decreased by 3
d half the difference of 10 and 6 decreased by 3

Explanation:

Step1: Analyze the core expression

First, identify the inner operation: $10 + 6$ is the sum of 10 and 6.

Step2: Analyze the first operation

$\frac{1}{2}(10 + 6)$ is half the sum of 10 and 6.

Step3: Analyze the final operation

Subtracting 3 from that value means the result is 3 less than half the sum of 10 and 6.

Step4: Match to options

Eliminate incorrect options:

• A uses "3 more than" (addition, not subtraction)
• C refers to "product" (multiplication, not sum)
• D refers to "difference" (subtraction, not sum)

Answer:

B. 3 less than half the sum of 10 and 6