Question

How many significant figures are in each of the following numbers?

1) 42*40* 5.40
2) 0.00120
3) 210
4) 801.5
5) 0.0102
6) 9.010
7) 10.0
8) 1,000
9) 2,370.0
10) 101.0100

Answer 1

The number of significant figures in each of the given numbers range from 1 to 7.

Step-by-step explanation:

1) 42 x 40 x 5.40 has 3 significant figures. The number 5.40 has 3 significant figures, whereas the integers 42 and 40 are exact values and do not have any significant figures.

2) 0.00120 has 3 significant figures. The zeros after the decimal point are significant because they indicate the precision of the measurement.

3) 210 has 2 significant figures. The zero at the end is not significant unless it has a decimal point.

4) 801.5 has 4 significant figures. All the digits are significant.

5) 0.0102 has 3 significant figures. The zeros before the 1 are not significant, but the zero after the 1 is significant.

6) 9.010 has 4 significant figures. All the digits are significant.

7) 10.0 has 3 significant figures. The zeros after the decimal point are significant.

8) 1,000 has 1 significant figure. The trailing zeros are not significant in this case.

9) 2,370.0 has 5 significant figures. The trailing zeros after the decimal point are significant.

10) 101.0100 has 7 significant figures. All the digits are significant.