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Chapter 1: Problem 10

Determine the number of significant figures in the following. (a) \(0.0950\) (d) \(0.0052\) (b) 760 (e) \(3.46 \times 10^{15}\) (c) \(1.005\)

Short Answer

Expert verified
The number of significant figures for the numbers are as follows: (a) 3, (b) 2, (c) 4, (d) 2, (e) 3.

Step by step solution

01

Identifying Significant Figures for 0.0950

Leading zeros are not considered as significant figures. Therefore, the significant figures are 950. The zero after a decimal point is considered significant. Therefore, the number of significant figures for 0.0950 is 3.
02

Identifying Significant Figures for 0.0052

Leading zeros are not considered as significant figures. Thus, the significant figures are 52. Therefore, the number of significant figures for 0.0052 is 2.
03

Identifying Significant Figures for 760

In the case of 760, all digits are non-zero. Therefore, all the digits are significant. However, it can't be said definitively whether the zero at the end is significant unless there's a decimal point. Therefore, in this case, it is considered that the number of significant figures is 2.
04

Identifying Significant Figures for \(3.46 \times 10^{15}\)

In scientific notation, all digits are considered significant. Therefore, the number of significant figures in \(3.46 \times 10^{15}\) is 3.
05

Identifying Significant Figures for 1.005

For 1.005, all digits are significant because the zeros are between two non-zero numbers. Therefore, the number of significant figures in 1.005 is 4.

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