Question

The correct number of significant figures in the number 0.002320 is:

1) 7
2) 4
3) 3
4) ambiguous
5) none of the above

Answer 1

The number 0.002320 has 4 significant figures, including the two nonzero digits and the zeros that are situated between them and the trailing nonzero digits.

Step-by-step explanation:

The correct number of significant figures in the number 0.002320 is 4. Let's explain why, according to the rules of significant figures. First, all nonzero digits are always significant, which in this case includes the '2' and the '3'. Next, any zeros located between significant figures are also significant, meaning the two zeros between the '2' and the '3' are significant figures. Finally, the trailing zero at the end of the number is significant because it comes after a nonzero digit and after the decimal point.

So, summarizing the significant figures:

1. The '2' and '3' are significant by rule 1: All nonzero digits are significant.
2. The two zeros between the '2' and '3' are significant by rule 2: Zeros located between significant figures are significant.
3. The trailing zero is significant because it is after the decimal point and nonzero digits (rule 5).