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The rules of significant digits and practice examples

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
show 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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show 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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show Significant  
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What is the rule of rounding to the appropriate significant digit when adding or subtracting?   show
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show 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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show 1  
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show 4  
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Determine the number of significant digits: 230   show
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show 5  
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Determine the number of significant digits: 0.003405   show
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Determine the number of significant digits: 6,001,020   show
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show 4  
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Determine the number of significant digits: 800   show
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show 3  
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show 5  
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show 5  
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show 764  
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Solve the problem by rounding to the correct number of significant digits: 0.82 x 1.5   show
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Solve the problem by rounding to the correct number of significant digits: 320 x 0.45   show
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show 0.079  
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show 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   show
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Solve the problem by rounding to the correct number of significant digits: 23,892 + 2,120   show
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Created by: Ms.Clinton