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Compare the following numbers using division. Which of the statements below expresses the relationship between the numbers 100 and 25?

Given: [tex]$100 \div 25 = 4$[/tex]

Select one:

A. 100 is four times as large as 25.

B. 100 is four more than 25.

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

D. 25 is four times as large as 100.

Answer :

Sure, let's compare the numbers 100 and 25 using division and identify the correct relationship between them based on the choices provided.

1. Understand the Problem:
We need to compare two numbers, 100 and 25, and figure out which statement best describes their relationship concerning division.

2. Analyze the Statements:
Let's break down each choice to understand what it means:

- 100 is four times as large as 25.: This would mean 100 divided by 25 should equal 4.
- 100 is four more than 25.: This means 100 minus 25 should equal 4.
- 100 is one-quarter as large as 25.: This means 100 should be one-fourth the size of 25, which mathematically doesn't make sense because 100 is larger than 25.
- 25 is four times as large as 100.: This means 25 divided by 100 should equal 4, which also wouldn't make sense because 25 is smaller than 100.

3. Evaluate the Correct Statement:
Based on our reasoning, none of these statements correctly describe the division relationship using these values, as 25 can't be four times larger than 100, and similarly, 100 can't be four times or one-quarter of 25 either.

However, to find out if any calculation aligns or should align logically with a statement, re-examine any choices or calculations previously recognized as a core understanding for tasks like homework or problem solving.

Therefore, after thoroughly going through these options, we find that there isn't a straightforward matching statement within the provided choices based on an accurate division outcome or general numerical relationship. When the relationships are clear-cut, the first statement may initially appear as a sensible assertion in separate contexts, but mathematically from division in these comparisons here, is versatile.

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