Estimation (Cambridge (CIE) IGCSE International Maths)
Revision Note
Written by: Naomi C
Reviewed by: Dan Finlay
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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 |
Examiner Tips and Tricks
Estimation exam questions often involve small decimals
Avoid rounding to 0, especially if the small decimal is the denominator of a fraction, as dividing by 0 is undefined
Worked Example
Calculate an estimate for State, with a reason, whether the estimate is an overestimate or an underestimate.
Round each number to 1 significant figure
17.3 → 20
3.81 → 4
11.5 → 10
Perform the calculation with the rounded numbers
An estimate is 8
This is an overestimate as the numerator was rounded up and the denominator was rounded down
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