Question
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 3,910 ÷ 25?
2,500
250
25,000
25
2,500
250
25,000
25
Answers
GPT-4o mini
To determine the best choice for the first number to subtract in the division problem \( 3,910 \div 25 \), we can compare each of the given options to see which one is closest to \( 3,910 \) when multiplied by \( 25 \).
Let's calculate how many times \( 25 \) fits into \( 3,910 \):
1. Start with \( 3,910 \).
2. Estimate the multiple of \( 25 \).
To find a suitable approximation, let’s look at the division \( 3,910 \div 25 \):
- \( 25 \) goes into \( 100 \) exactly \( 4 \) times, and into \( 1,000 \) exactly \( 40 \) times.
- Since \( 3,910 \) is close to \( 4,000 \), we can estimate the product: \( 25 \times 160 = 4,000 \).
Start subtracting multiples of \( 25 \) from \( 3,910 \):
Now, check the given options as whole multiples of \( 25 \):
- **\( 2,500 \)**: \( 2500 \div 25 = 100 \), \( 100 \times 25 = 2500 \), which is less than \( 3,910 \).
- **\( 250 \)**: \( 250 \div 25 = 10 \), \( 10 \times 25 = 250 \), which is less than \( 3,910 \).
- **\( 25,000 \)**: \( 25,000 \div 25 = 1,000 \), \( 1,000 \times 25 = 25,000 \), which is significantly more than \( 3,910 \).
- **\( 25 \)**: \( 25 \div 25 = 1 \), \( 1 \times 25 = 25 \), very small and does not help.
Among these, the **best choice is \( 2,500 \)**, as it is the largest number that can be subtracted and gives a meaningful quotient when you divide by \( 25 \).
Thus, the answer is **\( 2,500 \)**.
Let's calculate how many times \( 25 \) fits into \( 3,910 \):
1. Start with \( 3,910 \).
2. Estimate the multiple of \( 25 \).
To find a suitable approximation, let’s look at the division \( 3,910 \div 25 \):
- \( 25 \) goes into \( 100 \) exactly \( 4 \) times, and into \( 1,000 \) exactly \( 40 \) times.
- Since \( 3,910 \) is close to \( 4,000 \), we can estimate the product: \( 25 \times 160 = 4,000 \).
Start subtracting multiples of \( 25 \) from \( 3,910 \):
Now, check the given options as whole multiples of \( 25 \):
- **\( 2,500 \)**: \( 2500 \div 25 = 100 \), \( 100 \times 25 = 2500 \), which is less than \( 3,910 \).
- **\( 250 \)**: \( 250 \div 25 = 10 \), \( 10 \times 25 = 250 \), which is less than \( 3,910 \).
- **\( 25,000 \)**: \( 25,000 \div 25 = 1,000 \), \( 1,000 \times 25 = 25,000 \), which is significantly more than \( 3,910 \).
- **\( 25 \)**: \( 25 \div 25 = 1 \), \( 1 \times 25 = 25 \), very small and does not help.
Among these, the **best choice is \( 2,500 \)**, as it is the largest number that can be subtracted and gives a meaningful quotient when you divide by \( 25 \).
Thus, the answer is **\( 2,500 \)**.