Question
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956
87?
8,700
870
800
87
87?
8,700
870
800
87
Answers
GPT-4o mini
To determine the best choice for the first number to subtract in the division problem \( 956 \div 87 \), we want to consider which option is closest to \( 956 \) when multiplied by \( 87 \).
1. **Estimate the quotient:** Since we are dividing \( 956 \) by \( 87 \), we can estimate this division.
2. **Roughly calculate:**
- \( 87 \) is approximately \( 90 \), and
- \( 956 \div 90 \approx 10.5\).
- If we use \( 87 \) itself as a reference point, we can look to keep our first subtraction within this range.
3. **Evaluate the choices based on multiplication with \( 87 \):**
- \( 8,700 \): \( 87 \times 100 \)
- \( 870 \): \( 87 \times 10 \)
- \( 800 \): \( 87 \times \approx 9.2 \)
- \( 87 \): \( 87 \times 1 \)
4. **Choosing a number to subtract:**
- \( 8,700 \) is too large, as \( 956 < 8,700 \).
- \( 870 \): 87 x 10 = 870, and \( 956 - 870 = 86\), which is manageable but high.
- \( 800 \): This is also a reasonable option because it keeps \( 956 - 800 = 156 \). However, \( 800 \) is still near the lower limit we want to achieve.
- \( 87 \) is very small for our first subtraction.
Among these, **the best choice for the first number to subtract in the division problem \( 956 \div 87 \) is \( 870\),** as it aligns well to deduct a significant chunk but not exceed \( 956\).
1. **Estimate the quotient:** Since we are dividing \( 956 \) by \( 87 \), we can estimate this division.
2. **Roughly calculate:**
- \( 87 \) is approximately \( 90 \), and
- \( 956 \div 90 \approx 10.5\).
- If we use \( 87 \) itself as a reference point, we can look to keep our first subtraction within this range.
3. **Evaluate the choices based on multiplication with \( 87 \):**
- \( 8,700 \): \( 87 \times 100 \)
- \( 870 \): \( 87 \times 10 \)
- \( 800 \): \( 87 \times \approx 9.2 \)
- \( 87 \): \( 87 \times 1 \)
4. **Choosing a number to subtract:**
- \( 8,700 \) is too large, as \( 956 < 8,700 \).
- \( 870 \): 87 x 10 = 870, and \( 956 - 870 = 86\), which is manageable but high.
- \( 800 \): This is also a reasonable option because it keeps \( 956 - 800 = 156 \). However, \( 800 \) is still near the lower limit we want to achieve.
- \( 87 \) is very small for our first subtraction.
Among these, **the best choice for the first number to subtract in the division problem \( 956 \div 87 \) is \( 870\),** as it aligns well to deduct a significant chunk but not exceed \( 956\).