Answer :
To determine how the product of 45 compares to [tex]\(45 \times \frac{250}{250}\)[/tex], let’s carefully examine each component and the arithmetic involved.
First, we need to evaluate the fraction [tex]\(\frac{250}{250}\)[/tex]:
[tex]\[ \frac{250}{250} = 1 \][/tex]
This simplifies cleanly to 1. Next, we calculate the product of 45 and this fraction:
[tex]\[ 45 \times 1 = 45 \][/tex]
Given that multiplying any number by 1 results in the same number, the product here will be equal to 45. Therefore, the correct insight in this situation is:
[tex]\[ \text{The product of 45 and } (45 \times 1) \text{ will be equal to 45.} \][/tex]
So,
[tex]\[ \boxed{\text{(B) It will be equal because we are multiplying 45 by a fraction that is equal to 1.}} \][/tex]
Hence, the correct answer is (B).
First, we need to evaluate the fraction [tex]\(\frac{250}{250}\)[/tex]:
[tex]\[ \frac{250}{250} = 1 \][/tex]
This simplifies cleanly to 1. Next, we calculate the product of 45 and this fraction:
[tex]\[ 45 \times 1 = 45 \][/tex]
Given that multiplying any number by 1 results in the same number, the product here will be equal to 45. Therefore, the correct insight in this situation is:
[tex]\[ \text{The product of 45 and } (45 \times 1) \text{ will be equal to 45.} \][/tex]
So,
[tex]\[ \boxed{\text{(B) It will be equal because we are multiplying 45 by a fraction that is equal to 1.}} \][/tex]
Hence, the correct answer is (B).
