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When is a zero a significant digit?
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When is zero NOT significant?
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Significant Digits

The rules of significant digits and practice examples

QuestionAnswer
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
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
Are any non-zero number significant or not significant? Significant
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
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
Determine the number of significant digits: 0.0009 1
Determine the number of significant digits: 204.0 4
Determine the number of significant digits: 230 2
Determine the number of significant digits: 8.2003 5
Determine the number of significant digits: 0.003405 4
Determine the number of significant digits: 6,001,020 6
Determine the number of significant digits: 34,560 4
Determine the number of significant digits: 800 1
Determine the number of significant digits: 0.0980 3
Determine the number of significant digits: 0.80030 5
Determine the number of significant digits: 200.04 5
Solve the problem by rounding to the correct number of significant digits: 700 + 63.9 764
Solve the problem by rounding to the correct number of significant digits: 0.82 x 1.5 1.2
Solve the problem by rounding to the correct number of significant digits: 320 x 0.45 140
Solve the problem by rounding to the correct number of significant digits: 0.6782 - 0.599 0.079
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)
Solve the problem by rounding to the correct number of significant digits: 15,399.6 ÷ 1,230 12.5
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)
Created by: Ms.Clinton
 

 



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