Using Significant Figures in Calculations: Rules and Examples for Chemistry
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19 Terms
What is the rule for addition and subtraction with significant figures?
Round your answer to match the number with the fewest decimal places.
What is the result of 1.457 + 83.2 rounded to the correct number of significant figures?
84.7
What is the result of 15.51 + 2512.2 - 1.2345 rounded to the correct number of significant figures?
2526.5
What is the result of 17 - 0.4753 rounded to the correct number of significant figures?
17
What is the rule for multiplication and division with significant figures?
Round your answer to match the number with the fewest significant figures.
What is the result of 15.165 x 5.0 ÷ 3.02 rounded to the correct number of significant figures?
25
What is the result of 56.78 x 2.045 rounded to the correct number of significant figures?
116.1
What is the result of 14.0 x 1200 rounded to the correct number of significant figures?
17,000
What is the result of 430 ÷ 0.003 rounded to the correct number of significant figures?
100,000
What is the rule for pure numbers in calculations?
Pure numbers have an infinite number of significant figures.
What is the area of a circle with radius 0.022 cm calculated to the correct number of significant figures?
0.0015 cm²
What is the result of v² = 2(2.1)(9.80) rounded to the correct number of significant figures?
6.4
What should you do when calculating with significant figures?
Follow the addition/subtraction and multiplication/division rules.
What is the significance of significant figures in calculations?
They indicate the precision of measurements.
How do you determine the number of significant figures in a measurement?
Count all non-zero digits, zeros between significant digits, and trailing zeros in decimal numbers.
What happens to significant figures in calculations involving addition and subtraction?
The result is limited by the least precise measurement's decimal places.
What happens to significant figures in calculations involving multiplication and division?
The result is limited by the least precise measurement's significant figures.
What is the importance of rounding in calculations?
Rounding ensures that the precision of the result reflects the precision of the measurements used.
What is a common mistake when dealing with significant figures?
Ignoring the rules for rounding based on the type of operation (addition/subtraction vs. multiplication/division).