Sare estimated 32x45 by using 30x40. How could Sara make a more accurate estimate?
30*50
30×50
fourth grade
Sara estimate 32x45 by using 30x40. How could Sara make a more accurate estimate?
To make a more accurate estimate of 32x45, Sara could use the following method:
1. Start by breaking down both the numbers 32 and 45 into their factors.
- 32 can be factored as 2 * 2 * 2 * 2 * 2, or 2^5.
- 45 can be factored as 3 * 3 * 5, or 3^2 * 5.
2. Look for common factors between both numbers, if any. In this case, both numbers have a common factor of 5.
3. Rewrite the numbers using their prime factorization and apply the common factors.
- 32 = 2^5
- 45 = 3^2 * 5
4. Multiply the common factors and any remaining prime factors, separately.
- Common factor: 5
- Remaining prime factors: (2^5) * (3^2) = 2^5 * 3^2
5. Calculate the product of the common factors.
- 5 * 5 = 25
6. Calculate the product of the remaining prime factors.
- (2^5) * (3^2) = 32 * 9 = 288
7. Multiply the results obtained in steps 5 and 6 to get the more accurate estimate for 32x45.
- 25 * 288 = 7200
Therefore, using this method, Sara can make a more accurate estimate for 32x45 as 7200.