Loading Significant Figures and Rounding…
Quick guide: plain English, key facts and method
In plain English: Significant figures show how precise a number is. Your answer should be no more precise than your least precise measurement.
Key facts
- The first significant figure is the first digit that is not zero.
- Zeros between other digits count (305 has 3 s.f.). Zeros at the start do not (0.0042 has 2 s.f.).
- Zeros at the end of a whole number may or may not count (3400 has 2, 3 or 4 s.f.).
- To round, look at the next digit: 5 or more rounds up.
- Decimal places count digits after the decimal point.
- In a calculation, give the answer to the same number of significant figures as the least precise data.
How to do it
- Find the first significant figure.
- Count along to the number of figures you need.
- Look at the next digit to decide whether to round up.
- Keep the place value: fill with zeros if needed (4380 to 2 s.f. is 4400).