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Chapter 2: Problem 20

How many significant figures are there in each of the following measurements? $$\begin{array}{ll}{\text { a. } 0.4004 \mathrm{mL}} & {\text { c } 1.00030 \mathrm{km}} \\ {\text { b. } 6000 \mathrm{g}} & {\text { d. } 400 \mathrm{mm}}\end{array}$$

Short Answer

Expert verified
The number of significant figures in the measurements: a) 0.4004 mL is 4, b) 6000 g is 1, c) 1.00030 km is 6 and d) 400 mm is 1.

Step by step solution

01

Analyze Measurement 0.4004 mL

There are four non-zero digits (4,0,0,4) and they are all significant due to the first rule. Also, zeros between the non-zero digits are also significant. Hence, the total number of significant figures in 0.4004 is 4.
02

Analyze Measurement 6000 g

Here, there is one significant digit which is 6. The trailing zeros are not considered significant because there is no decimal point.
03

Analyze Measurement 1.00030 km

Here, non-zero digit 1 is significant, zeros between non-zero numbers (0,0,0,3) are also significant, and the last zero is significant because of decimal point presence. Hence, the number of significant figures is 6.
04

Analyze Measurement 400 mm

The non-zero digit 4 is significant. However, the trailing zeros are not significant as there is no decimal point. Hence, the number of significant figures in 400 is 1.

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