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Chapter 1: Problem 108

The number of significant figures in \(0.000150\) is .............. (a) 3 (b) 5 (c) 2 (d) 4

Short Answer

Expert verified
The given number is \(0.000150\). The non-zero digits, 1 and 5 are significant, and one trailing zero is also significant. The leading zeros are not significant. Therefore, there are 3 significant figures.

Step by step solution

01

Understand the rules for significant figures

There are a few basic rules for determining significant figures in a given number: 1. Non-zero digits (1-9) are always considered significant. 2. Any zeros between significant digits are also considered significant. 3. Leading zeros (zeros before the first non-zero digit) are not significant. 4. Trailing zeros (zeros after the last non-zero digit) in a decimal number are considered significant.
02

Apply the rules to the given number

The given number is 0.000150. To determine the significant figures, apply the rules: 1. There are two non-zero digits, 1 and 5. Both are significant. 2. There are no zeros between significant digits. 3. There are four leading zeros. As per the rules, they are not significant. 4. There is one trailing zero in this decimal number, which is considered significant according to the rules.
03

Count the significant figures

Based on the analysis, there are two non-zero significant digits (1 and 5) and one significant trailing zero. So, there are a total of 3 significant figures. Therefore, the correct answer is (a) 3.

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