Concept explainers
The chapter sections to review are shown in parentheses at the end of each problem.
In which of the following pairs do both numbers contain the same number of significant figures? (2.2)
To determine: The pairs of numbers that contain the same number of significant figures
Answer to Problem 83UTC
Solution:
c) 0.000 75 s and 75 000 s
d) 6.240 L and 6.240 × 10-2 L
Explanation of Solution
A number is significant if it is:
- Non-zero digit.
- Any zeros between two or more non-zero digits.
- Trailing zeroes in the decimal number.
Also, note that zero placed after a non-zero digit without any decimal is simply a place holder and insignificant. Therefore, as per the above rules one can write:
a)
Number | Significant Figures |
2.0500 m | 5 |
0.0205 m | 3 |
b)
Number | Significant Figures |
600.0 K | 4 |
60 K | 1 |
c)
Number | Significant Figures |
0.000 75 s | 2 |
75 000 s | 2 |
d)
Number | Significant Figures |
6.240 L | 4 |
6.240 × 10-2 L | 4 |
The pairs of numbers in (c) and (d) have the same significant figures.
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Chapter 2 Solutions
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