Question

which phrase describes the expression ( 10 - 3 \times (2 + 5) )?
a ( 5 ) more than the difference of ( 10 ) and ( 3 ) times ( 2 )
b the product of ( 10 ) minus ( 3 ) and the sum of ( 2 ) and ( 5 )
c ( 10 ) minus the product of ( 3 ) and the sum of ( 2 ) and ( 5 )
d ( 10 ) less than the product of ( 3 ) and the sum of ( 2 ) and ( 5 )

Explanation:

Step1: Analyze the original expression

The expression $10 - 3 \times (2 + 5)$ follows order of operations: first calculate the sum inside parentheses, then the product, then the difference.

Step2: Match to option descriptions

• Option A: Describes $10 - 3\times2 + 5$, which does not match.
• Option B: Describes $(10 - 3)\times(2 + 5)$, which does not match.
• Option C: Describes $10 - [3\times(2 + 5)]$, which matches the original expression.
• Option D: Describes $3\times(2 + 5) - 10$, which does not match.

Answer:

C. 10 minus the product of 3 and the sum of 2 and 5