To compare the numbers 100 and 25 using division, follow these steps:
1. Identify the numbers to be compared: We have the numbers 100 and 25.
2. Set up the division equation: We divide 100 by 25.
[tex]\[
100 \div 25
\][/tex]
3. Calculate the division result:
Through division, you get:
[tex]\[
100 \div 25 = 4
\][/tex]
4. Interpret the result: The division result is 4, which means that 100 is 4 times larger than 25.
Now, let's look at the statements provided:
1. "100 is four more than 25."
This statement is incorrect. It suggests addition, and in that context, being "four more" than 25 would mean:
[tex]\[
25 + 4 = 29
\][/tex]
Therefore, this statement doesn't correctly explain the relationship.
2. "100 is one-quarter as large as 25."
This statement is also incorrect. Saying "one-quarter as large" would imply that 100 is smaller than 25, which is not true. In mathematical terms:
[tex]\[
\frac{25}{4} = 6.25
\][/tex]
Hence, 100 is not one-quarter as large as 25.
Given the correct division result and interpreting it, the accurate statement is:
"100 is four times larger than 25."
