Significant Figures
Q. How many significant figures are in the measurement 0.05060?
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Solution
Leading zeros do not count, but the trailing zero after the decimal does. Therefore, 0.05060 has 4 significant figures.
Correct Answer: B — 4
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Q. How many significant figures are in the number 0.000500?
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Solution
The significant figures are 5, 0, and the trailing zero counts, totaling 3.
Correct Answer: B — 3
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Q. How many significant figures are in the number 0.00456?
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Solution
Leading zeros do not count as significant figures. The significant figures in 0.00456 are 4, 5, and 6, which totals to 3 significant figures.
Correct Answer: B — 3
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Q. How many significant figures are in the number 0.007890?
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Solution
The significant figures are 7, 8, 9, and the trailing zero counts.
Correct Answer: C — 5
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Q. How many significant figures are in the number 100.0?
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Solution
The trailing zero after the decimal point counts as a significant figure.
Correct Answer: D — 4
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Q. How many significant figures are in the number 1002?
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Solution
All non-zero digits are significant, so 1002 has 4 significant figures.
Correct Answer: C — 4
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Q. How many significant figures are in the number 5000 when no decimal point is present?
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Solution
5000 has 1 significant figure unless specified otherwise (e.g., 5000. has 4 significant figures).
Correct Answer: A — 1
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Q. How many significant figures are in the number 5000?
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Solution
5000 has 1 significant figure unless specified with a decimal point (e.g., 5000. has 4).
Correct Answer: A — 1
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Q. How should the number 0.0001234 be rounded to two significant figures?
A.
0.00012
B.
0.00013
C.
0.0001
D.
0.000123
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Solution
To round 0.0001234 to two significant figures, we look at the first two non-zero digits (1 and 2) and round up, resulting in 0.00013.
Correct Answer: B — 0.00013
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Q. How should the number 0.05060 be rounded to three significant figures?
A.
0.051
B.
0.0506
C.
0.05060
D.
0.050
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Solution
To round 0.05060 to three significant figures, we keep the first three significant digits (5, 0, and 6), resulting in 0.0506.
Correct Answer: B — 0.0506
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Q. If a length is measured as 0.0500 m, how many significant figures does it have?
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Solution
Leading zeros are not significant. The significant figures are 5, 0, 0, which gives a total of 3 significant figures.
Correct Answer: C — 4
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Q. If a length is measured as 150.0 cm, how many significant figures does it have?
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Solution
The number 150.0 has 4 significant figures because the trailing zero after the decimal point counts as significant.
Correct Answer: C — 4
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Q. If a length is measured as 25.0 cm, what is the uncertainty in this measurement?
A.
0.1 cm
B.
0.01 cm
C.
1 cm
D.
0.5 cm
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Solution
The uncertainty is 0.1 cm, as the last digit is in the tenths place.
Correct Answer: A — 0.1 cm
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Q. If a measurement is recorded as 0.004560, how many significant figures does it have?
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Solution
Leading zeros are not significant. The significant figures are 4, 5, 6, which gives a total of 4 significant figures.
Correct Answer: C — 5
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Q. If a measurement is recorded as 0.00780 m, how many significant figures does it have?
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Solution
The measurement 0.00780 m has three significant figures (the zeros before the 7 are not significant, but the zero after the 8 is).
Correct Answer: C — 4
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Q. If a measurement is recorded as 0.00780, how many significant figures does it contain?
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Solution
The leading zeros are not significant, but the trailing zero after 78 is significant. Therefore, it has 3 significant figures.
Correct Answer: C — 4
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Q. If a measurement is recorded as 0.007890, how many significant figures does it have?
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Solution
Leading zeros do not count as significant figures. The significant figures in 0.007890 are 7, 8, 9, and 0, which totals to 4 significant figures.
Correct Answer: C — 5
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Q. If a measurement is recorded as 1500 m, how many significant figures does it have?
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Solution
The number 1500 m has 2 significant figures unless specified otherwise (e.g., with a decimal point). Without a decimal, trailing zeros are not counted.
Correct Answer: A — 2
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Q. If a measurement is recorded as 1500 with no decimal point, how many significant figures does it have?
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Solution
Without a decimal point, trailing zeros are not considered significant. Therefore, 1500 has 2 significant figures.
Correct Answer: A — 2
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Q. If you add 12.11 and 0.3, how many decimal places should the answer have?
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Solution
The answer should have 1 decimal place, as 0.3 has the least decimal places.
Correct Answer: A — 1
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Q. If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the result have?
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Solution
The result should have 2 significant figures, as the least number of significant figures in the factors is 2.
Correct Answer: A — 2
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Q. If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the answer have?
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Solution
The answer should have 2 significant figures, as the least number of significant figures in the factors is 2.
Correct Answer: A — 2
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Q. In the calculation 12.11 + 0.3 + 1.234, how many significant figures should the answer have?
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Solution
The answer should have 2 decimal places, as 0.3 has the least precision.
Correct Answer: C — 4
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Q. In the expression 0.00450 + 0.0034, how many significant figures should the result have?
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Solution
The result should have 3 significant figures, as 0.0034 has the least precision.
Correct Answer: B — 4
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Q. In the measurement 0.007890, how many significant figures are present?
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Solution
The significant figures are 7, 8, 9, and 0, totaling 4 significant figures.
Correct Answer: C — 5
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Q. In the measurement 0.03040, how many significant figures are present?
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Solution
In 0.03040, the leading zeros do not count, but the trailing zero after the decimal does. Therefore, there are 4 significant figures.
Correct Answer: B — 4
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Q. In the measurement 123.45, how many significant figures are present?
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Solution
All digits in 123.45 are significant, giving a total of 5 significant figures.
Correct Answer: C — 5
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Q. In the measurement 150.0, how many significant figures are present?
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Solution
The significant figures are 1, 5, and the trailing zero after the decimal point.
Correct Answer: C — 4
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Q. In the measurement 2500 kg, how many significant figures are there?
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Solution
The number 2500 kg has two significant figures unless specified otherwise (e.g., with a decimal point).
Correct Answer: A — 2
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Q. In the number 0.0004560, how many significant figures are present?
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Solution
The leading zeros are not significant, but the trailing zero is significant. Therefore, it has 4 significant figures.
Correct Answer: B — 4
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