How many significant figures in 0.050080?

There are five significant figures in zero point zero five zero zero eight zero.

Think of significant figures as the digits that tell us how precise a number is. When a zero is between other digits, like the zero between five and eight here, it counts because it is “captive” or trapped. When zeros come after digits and there is a decimal point, like the trailing zero after eight, those zeros count too because they show precise measurement to that decimal place. Leading zeros before the first nonzero digit do not count, but every other zero in this number does, so we count five digits that matter.

A common mistake is counting leading zeros as significant, which would make the number look more precise than it is, so do not count zeros that only set the decimal place and give the tip to start counting from the first nonzero digit. Another error is forgetting that a trailing zero after a decimal point is significant; if you ignore it you underestimate precision, so remember that zeros after the last nonzero digit count when there is a decimal point present. Some students also mix up captive zeros and leading zeros, and the quick fix is to mark the first nonzero digit and count every digit from there to the end if there is a decimal point.

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Counting Significant Figures in 0.050080

1. Count digits showing precision
2. Captive zeros count as significant
3. Trailing zeros after decimal count
4. Leading zeros do not count
5. Start counting at first nonzero digit

Common Significant Figures Mistakes

1. Counting leading zeros as significant
2. Ignoring trailing zeros after decimal
3. Mixing up captive and leading zeros

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