Give the number of significant figures in each of the following: 2.30

Question

Give the number of significant figures in each of the following:  2.30

BlackTom AI · Accepted Answer

When determining significant figures, we consider digits that carry meaning contributing to precision.

For the number 2.30:
- The digit 2 is significant.
- The digit 3 is significant.
- The trailing 0 after the 3, located after the decimal point, is also significant because it indicates the level of precision of the measurement.

Therefore, all three digits 2, 3, and the trailing 0 count as significant figures, giving a total of three significant figures.

Common misconceptions:
- A trailing zero before a decimal point (e.g., 2.30 vs 230) does not apply here; only trailing zeros after a decimal point indicate precision.
- If someone treats 2.30 as 2.3, they would be implying less precision, which is not accurate for the written value 2.30.
- If the number were written as 2.300, there would be four significant figures, since the additional trailing zero after the decimal would also be significant.

In summary, 2.30 conveys precision to the nearest hundredth, and that is reflected by three significant figures.

Give the number of significant figures in each of the following: 2.30

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