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Compare the following numbers using division. Which of the statements below expresses the relationship between the numbers?

[tex]\[ 100 \div 25 = 4 \][/tex]

Select one of the four options:

A. 100 is one-quarter as large as 25.

B. 100 is four times as large as 25.

C. 100 is four more than 25.

D. 25 is four times as large as 100.

Answer :

To compare the numbers 100 and 25, we can use division to see how they relate to each other.

Firstly, let's determine how many times one number fits into the other:

1. We start by dividing 100 by 25 to see how many times 25 goes into 100:
[tex]\[
100 \div 25 = 4
\][/tex]

2. This calculation shows us that 100 is four times as large as 25.

Now, let's examine each of the provided statements to find the correct one:

- "100 is one-quarter as large as 25."
- This statement is incorrect because our calculation showed that 100 is actually larger than 25, not smaller.

- "100 is four times as large as 25."
- This statement is correct because dividing 100 by 25 gives us 4, indicating that 100 is four times larger than 25.

- "100 is four more than 25."
- This statement is incorrect since 100 is 75 more than 25, not just 4 more.

- "25 is four times as large as 100."
- This statement is incorrect because it's the opposite of what our calculation shows. 25 is not larger than 100; 100 is larger.

Therefore, the correct answer is: "100 is four times as large as 25."

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