Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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 :

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).