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Solution: What is the number of significant figures in each

Chapter 1, Problem 1.33

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QUESTION:

What is the number of significant figures in each of the following measurements?

\(\begin{array}{l}\text{(a) } 4867 \ \mathrm{mi}\\ \text{(b) } 56 \mathrm{~mL}\\ \text{(c) 60,104 tons}\\ \text{(d) } 2900 \mathrm{~g}\\ \text{(e) } 40.2 \mathrm{~g} / \mathrm{cm}^{3}\\ \text{(f) } 0.0000003 \mathrm{~cm}\\ \text{(g) } 0.7 \mathrm{~min}\\ \text{(h) } 4.6 \times 10^{19} \text{ atoms}\end{array}\)

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QUESTION:

What is the number of significant figures in each of the following measurements?

\(\begin{array}{l}\text{(a) } 4867 \ \mathrm{mi}\\ \text{(b) } 56 \mathrm{~mL}\\ \text{(c) 60,104 tons}\\ \text{(d) } 2900 \mathrm{~g}\\ \text{(e) } 40.2 \mathrm{~g} / \mathrm{cm}^{3}\\ \text{(f) } 0.0000003 \mathrm{~cm}\\ \text{(g) } 0.7 \mathrm{~min}\\ \text{(h) } 4.6 \times 10^{19} \text{ atoms}\end{array}\)

ANSWER:

Step 1 of 2

The number of significant figures in a measurement refers to the number of digits that contribute to the measurement's precision. This includes all nonzero digits, any zeroes between significant figures, and any trailing zeroes in the decimal portion.

Let's find out the number of significant figures in each of the given measurements:

(a) non-zero numbers are significant.
Significant figures = 4

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