Answer :
To solve the problem of identifying which expression represents the sum of 173 and 32, multiplied by 5, let's break it down step-by-step:
1. Calculate the Sum of 173 and 32:
- First, we add the two numbers together.
[tex]\[
173 + 32 = 205
\][/tex]
2. Multiply the Sum by 5:
- Next, we take the sum we found in the first step and multiply it by 5.
[tex]\[
205 \times 5 = 1025
\][/tex]
Now, let's compare this process to the given options:
- Option (A): [tex]\(5 \times (173 + 32)\)[/tex]
- This option instructs us to first add 173 and 32, and then multiply the result by 5, which matches our calculations.
- Option (B): [tex]\(173 + (32 \times 5)\)[/tex]
- This option suggests multiplying 32 by 5 first, and then adding 173, which is different from our process.
- Option (C): [tex]\((173 + 32) + 5\)[/tex]
- This option indicates adding 173 and 32 first, and then adding 5, which also does not match the required operation of multiplying by 5.
Thus, the correct expression that represents the operation "sum of 173 and 32, multiplied by 5" is Option (A): [tex]\(5 \times (173 + 32)\)[/tex].
1. Calculate the Sum of 173 and 32:
- First, we add the two numbers together.
[tex]\[
173 + 32 = 205
\][/tex]
2. Multiply the Sum by 5:
- Next, we take the sum we found in the first step and multiply it by 5.
[tex]\[
205 \times 5 = 1025
\][/tex]
Now, let's compare this process to the given options:
- Option (A): [tex]\(5 \times (173 + 32)\)[/tex]
- This option instructs us to first add 173 and 32, and then multiply the result by 5, which matches our calculations.
- Option (B): [tex]\(173 + (32 \times 5)\)[/tex]
- This option suggests multiplying 32 by 5 first, and then adding 173, which is different from our process.
- Option (C): [tex]\((173 + 32) + 5\)[/tex]
- This option indicates adding 173 and 32 first, and then adding 5, which also does not match the required operation of multiplying by 5.
Thus, the correct expression that represents the operation "sum of 173 and 32, multiplied by 5" is Option (A): [tex]\(5 \times (173 + 32)\)[/tex].
