High School

Choose the mathematical statement that represents the sentence below:

The sum of 15 and 83 multiplied by 17.

A. [tex]17(15+83)[/tex]
B. [tex]15+83 \times 17[/tex]
C. [tex]\frac{15}{83} \times 17[/tex]
D. [tex]15 \div 83-17[/tex]
E. [tex]\frac{15+83}{17}[/tex]

Answer :

We begin by interpreting the phrase:

"The sum of 15 and 83 multiplied by 17."

Step 1: Identify the Sum
The phrase "the sum of 15 and 83" means we add 15 and 83 together:
[tex]$$15 + 83.$$[/tex]

Step 2: Multiply the Sum by 17
The phrase continues with "multiplied by 17," which means that the sum we just found must be multiplied by 17:
[tex]$$17 \times (15 + 83).$$[/tex]

This expression represents the operation described in the sentence.

Thus, the correct mathematical statement is:
[tex]$$17(15+83)$$[/tex]

So, the answer is Option A.