The rules of significant digits and practice examples
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| When is a zero a significant digit? | Any zeros to the right of a decimal are significant. Ex: 8.00
Any zeros to the right of a non-zero number in a decimal. Ex: 1.80
Any zeros between non-zeros are significant Ex: 3,001
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| When is zero NOT significant? | Any zero to the left of a whole number is NOT significant. Ex: 2,340,000
Any zero between a decimal and non-zero numbers in a decimal are NOT significant. Ex: 6.007
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| Are any non-zero number significant or not significant? | Significant
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| What is the rule of rounding to the appropriate significant digit when adding or subtracting? | Round the lowest place value of the LEAST precise number in the problem. EX: 2.3 - 0.623 (Solve and round to the tenths place) = 1.7
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| What is the rule of rounding to the appropriate significant digit when multiplying or dividing? | Round the same number of significant digits as the LEAST precise number in the problem. EX: 20 ÷ 0.06 (Solve and round to 1 significant digit- ones place) = 1
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| Determine the number of significant digits: 0.0009 | 1
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| Determine the number of significant digits: 204.0 | 4
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| Determine the number of significant digits: 230 | 2
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| Determine the number of significant digits: 8.2003 | 5
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| Determine the number of significant digits: 0.003405 | 4
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| Determine the number of significant digits: 6,001,020 | 6
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| Determine the number of significant digits: 34,560 | 4
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| Determine the number of significant digits: 800 | 1
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| Determine the number of significant digits: 0.0980 | 3
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| Determine the number of significant digits: 0.80030 | 5
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| Determine the number of significant digits: 200.04 | 5
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| Solve the problem by rounding to the correct number of significant digits: 700 + 63.9 | 764
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| Solve the problem by rounding to the correct number of significant digits: 0.82 x 1.5 | 1.2
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| Solve the problem by rounding to the correct number of significant digits: 320 x 0.45 | 140
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| Solve the problem by rounding to the correct number of significant digits: 0.6782 - 0.599 | 0.079
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| Solve the problem by rounding to the correct number of significant digits: 0.066528 ÷ 0.042 | 1.584 (answer in correct number of significant digits- no rounding needed)
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| Solve the problem by rounding to the correct number of significant digits: 15,399.6 ÷ 1,230 | 12.5
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| Solve the problem by rounding to the correct number of significant digits: 23,892 + 2,120 | 26,010 (Least precise is 2,120 with the lowest place value of a significant digit in the tens place)
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Created by:
Ms.Clinton