Estimating Solutions Using Approximations
Estimation is used to get a sensible approximate answer by replacing numbers with simpler, nearby values. It helps you judge whether a calculation is reasonable and is often used before or after finding an exact answer.
To estimate a calculation:
- Round the numbers to convenient values (such as 10, 100, or 1 significant figure)
- Use these rounded numbers to perform the calculation mentally or quickly
Examples:
- 49 × 18 (882) can be estimated as 50 × 20 = 1,000
- 3.98 + 6.12 (10.1) can be estimated as 4 + 6 = 10
- 602 ÷ 9 (66.88...) can be estimated as 600 ÷ 10 = 60
The goal is not accuracy, but sense-checking. Estimates should be quick, simple, and close enough to spot large errors.
You should be able to:
- Choose appropriate values to round to
- Estimate answers to calculations
- Use estimates to check exact solutions
Estimation is a powerful tool for building number sense and avoiding mistakes in longer calculations.