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Chapter 1: Q6. (page 17)

Express the sine of30.0°with the correct number of significant figures.

Short Answer

Expert verified

The required number in significant figures is 0.500.

Step by step solution

01

Step 1. Significant figures

For estimating the number of significant figures, the following rules are followed:

  • In a number, all the leading zeroes are non-significant.
  • The zero lying between two non-zero digits is significant.

The given angle is θ=30°.

The expression to determine the significant figures is sinθ.

02

Step 2. Applications of significant figures

The following are two examples of significant figures:

There are four significant figures in the value 160.0mm.

There are three significant figures in the value 16.0cm.

To determine the significant figures, take the known values in the above expression:

sin30°0.500

Thus, there are three significant figures in the given number.

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