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Answer :
To compare the numbers 100 and 25 using division, we can determine how many times 25 fits into 100.
Let's divide 100 by 25:
[tex]\[ 100 \div 25 = 4 \][/tex]
This result tells us that 100 is 4 times as large as 25.
Now, let's look at the provided statements:
1. 100 is four more than 25.
This is not correct. "Four more" would mean adding 4 to 25, which equals 29, and this does not represent the relationship we have determined.
2. 100 is one-quarter as large as 25.
This statement is incorrect. "One-quarter as large" means that 100 would be smaller than 25, but we found that 100 is actually larger, not smaller.
3. 100 is four times as large as 25.
This statement is correct. Our division showed that 25 fits into 100 four times, meaning 100 is four times the size of 25.
4. 25 is four times as large as 100.
This is incorrect, as our calculation demonstrated the opposite—100 is larger, not 25.
Therefore, the correct statement is that 100 is four times as large as 25.
Let's divide 100 by 25:
[tex]\[ 100 \div 25 = 4 \][/tex]
This result tells us that 100 is 4 times as large as 25.
Now, let's look at the provided statements:
1. 100 is four more than 25.
This is not correct. "Four more" would mean adding 4 to 25, which equals 29, and this does not represent the relationship we have determined.
2. 100 is one-quarter as large as 25.
This statement is incorrect. "One-quarter as large" means that 100 would be smaller than 25, but we found that 100 is actually larger, not smaller.
3. 100 is four times as large as 25.
This statement is correct. Our division showed that 25 fits into 100 four times, meaning 100 is four times the size of 25.
4. 25 is four times as large as 100.
This is incorrect, as our calculation demonstrated the opposite—100 is larger, not 25.
Therefore, the correct statement is that 100 is four times as large as 25.
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