Significant figures counter
Created by
Eon CalculatorWhat are significant figures?
Rule | No | Sig Figs | Sig Figs |
---|---|---|---|
Non-zero digits | 345 | 345 | 3 |
Sandwiched zeros | 7002 | 7002 | 4 |
Leading zeros | 0.0067 | 67 | 2 |
Trailing zeros (no decimal) | 800 | 8 | 1 |
Trailing zeros (decimal) | 800 | 800 | 3 |
Exact numbers | 12 | Infinite | Infinite |
Table 1 shows the rules for counting significant figures, examples of numbers, their significant digits, and the count of significant figures.
Calculating significant figures
To calculate the significant figures in a given number you need to follow a set of simple rules. Here is the breakdown of those rules:
Rule 1: Non-zero digits are always significant. This means any digits from 1 to 9 are always counted as significant. Example: In the number 345 all three digits (3, 4, and 5) are significant. Rule 2: Zeros between significant numbers are counted as significant. If a zero is in-between two non-zero digits, it is considered significant. Example: in the number 601, the zero is significant because it is between 6 and 1. Rule 3: Zeros at the start of a number are not significant. Leading zeros are just placeholders and don’t add any meaningful information. Example: in 0.005 only the 5 is significant. Rule 4: Trailing zeros (zeros at the end of a number) are significant only if there is a decimal point. If the number has no decimal point, those zeros are not considered significant. Example: 800 — the zeros are not significant unless it is written as 800. Rule 5: Exact numbers (counted values or defined values) have infinite significant figures. Example: if you count 100 chairs, the number 100 has infinite significant figures because it is an exact count.Formula for significant figures
How to use this significant figures calculator
Significant Figures Counter
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