Final answer:
To estimate the quotient in a division problem using compatible numbers, choose two numbers close to the dividend and divisor that are easy to divide mentally. Divide these compatible numbers to find the estimated quotient.
Step-by-step explanation:
A division problem involves dividing one number, the dividend, by another number, the divisor, to find the quotient. To estimate the quotient using compatible numbers, we look for two numbers that are close to the dividend and the divisor and are easy to divide mentally. Here are two different ways to estimate the quotient:
Example 1:
- Dividend: 267
- Divisor: 12
- Estimate:
- Choose compatible numbers: 270 and 10 (both are multiples of 10)
- Divide the compatible numbers: 270 ÷ 10 = 27
- So, the estimated quotient is 27
Example 2:
- Dividend: 458
- Divisor: 9
- Estimate:
- Choose compatible numbers: 460 and 10 (both are multiples of 10)
- Divide the compatible numbers: 460 ÷ 10 = 46
- So, the estimated quotient is 46