Answered

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How will the product of 45 compare to [tex][tex]$45 \times \frac{250}{250}$[/tex][/tex], and why?

Choose one answer:

A. It will be less because we are multiplying 45 by a fraction that is less than 1.
B. It will be equal because we are multiplying 45 by a fraction that is equal to 1.
C. It will be greater because we are multiplying 45 by a fraction that is greater than 1.

Sagot :

GinnyAnswer
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).
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