How many sig figs does 0.00120 have?

Zero point zero zero one two zero has three significant figures.

Think of significant figures like the count of digits that actually tell us something about how precise a measurement is; here the leading zeros only show where the decimal is, not the precision, so they do not count. The first nonzero digit is one, then two, and the final zero is after the decimal and after nonzero digits, so it does count because it shows the measurement was precise to that place. That means zero point zero zero one two zero is precise to the thousandth place and the trailing zero matters. When you read measurements, ignore zeros before the first nonzero digit, and pay attention to zeros after a decimal that come after nonzero digits.

A common mistake is counting the zeros at the beginning as significant, which leads to overestimating precision; remember those leading zeros are only placeholders and do not count. Another frequent error is thinking any trailing zero is significant even without a decimal point present, so check whether the number has a decimal to decide; if there is a decimal shown, trailing zeros after nonzero digits are significant. A simple way to avoid confusion is to rewrite the number in scientific notation, because the digits that are significant become obvious.

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Significant Figures for 0.00120

1. Count digits that show precision
2. Ignore leading zeros as placeholders
3. First nonzero digit starts count
4. Trailing zero after decimal counts
5. Shows precision to thousandth place

Common Sig Fig Mistakes for 0.00120

1. Counting leading zeros as significant
2. Thinking trailing zeros always significant
3. Not using scientific notation to clarify

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