Estimation
Estimationvideo
Estimation
Why do I need to estimate?
Estimation can be used to find approximations for difficult calculations
You can estimate a calculation to check your answers
You can identify if there is a mistake in your working out if your answer is much bigger or smaller than your estimated value
How do I estimate?
Round each number in the question to something sensible then perform the calculation
The exam question will usually tell you what to round each number to before carrying out any calculations
The general rule is to round numbers to 1 significant figure
7.8 ➝ 8
18 ➝ 20
3.65 × 10-4 ➝ 4 × 10-4
1080 ➝ 1000
In certain cases it may be more sensible (or easier) to round to something convenient
16.2 ➝ 15
9.1 ➝ 10
1180 ➝ 1200
Avoid rounding values to zero
How do I know if I have underestimated or overestimated?
For addition a + b and multiplication a x b
a (rounded up) and/or b (rounded up) | Overestimate | |
a (rounded down) and/or b (rounded down) | Underestimate | |
For subtraction a - b and division a ÷ b
a (rounded up) and/or b (rounded down) | Overestimate | |
a (rounded down) and/or b (rounded up) | Underestimate | |
a (rounded up) and b (rounded up) | Not easy to tell | |
a (rounded down) and b (rounded down) | Not easy to tell | |