Significant Figures And Rounding

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| By Shuling

Shuling

Community Contributor

Quizzes Created: 7 | Total Attempts: 11,377

Questions: 15 | Attempts: 702 | Updated: Mar 16, 2023

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In mathematics, significant figures are numerical digits that carry and add up to its measurement resolution. Rounding off, on the other hand, is turning decimals and fractions into the closest whole number. Find out more below.

Questions and Answers

1.

Tell how many significant figures are in: 31.0 cm

Explanation
Zeros at the end and right of the decimal point are significant

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2.

Tell how many significant figures are in: .0058 cm

Explanation
Leading zeros are not significant

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3.

Tell how many significant figures are in: 14500 cm

Explanation
Trailing zeros are not significant

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4
4.

Tell how many significant figures are in: 7108 cm

Explanation
Zeros that are surrounded by significant figures are significant as well.

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5.

Tell how many significant figures are in: 14.600 cm

Explanation
Zero at the end and right of the decimal point is significant, the zero after the 6 is surrounded by significant figures.

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6.

46.4 cm x 18.2 cm x 3.8 cm = ? cubic centimeters. (leave the units off, no comma)

Explanation
You are allowed 2 sig. figs, trailing zeros do not count but MUST be written or the decimal point will be in the wrong place.

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7.

.0034 cm x .056 cm = ? square centimeters.

Explanation
leading zeros are not significant but must be written or the decimal point will be in the wrong place

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8.

14.0 g / 8.10 cm3 = ? g/cm3

Explanation
Each of the numbers had 3 sig. figs.

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9.

5100 m x 12.33 m = ? square meters (no comma)

Explanation
5100 has 2 sig. figs. so answer must be rounded to 2 sig. figs. You must include trailing zeros to get decimal point in right place.

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10.

27.0 m / 3.568 s = ? m/s

Explanation
27.0 has 3 sig. figs., you are allowed 3 in your answer. 7.567 rounds up to 7.57.

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11.

64.07 m - 1.3 m = ? m (this is different math!)

Explanation
round to nearest 1/10th

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4 1
12.

16.2 g - 9.20 g = ? g

Explanation
round to nearest 1/10th

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13.

93.1 kg - 85 kg = ? kg

Explanation
round to the nearest kg (ones column) due to the fact that 85 kg is listed to the nearest kg (ones)

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4 1
14.

.88 cm + 2.291 cm = ? cm

Explanation
Round to the nearest 1/100th because of .88

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15.

.81 g + 158 g = ? g

Explanation
158 is to the nearest g (ones column) so answer goes to the ones column.

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4 0

Significant Figures And Rounding

Tell how many significant figures are in: 31.0 cm

Tell how many significant figures are in: .0058 cm

Tell how many significant figures are in: 14500 cm

Tell how many significant figures are in: 7108 cm

Tell how many significant figures are in: 14.600 cm

46.4 cm x 18.2 cm x 3.8 cm = ? cubic centimeters. (leave the units off, no comma)

.0034 cm x .056 cm = ? square centimeters.

14.0 g / 8.10 cm3 = ? g/cm3

5100 m x 12.33 m = ? square meters (no comma)

27.0 m / 3.568 s = ? m/s

64.07 m - 1.3 m = ? m (this is different math!)

16.2 g - 9.20 g = ? g

93.1 kg - 85 kg = ? kg

.88 cm + 2.291 cm = ? cm

.81 g + 158 g = ? g