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# Multiplication and Division Operations

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Sections
Significant Figures
Multiplication and Division Operations
Logarithm and Anti-Logarithm Operations
Precision and Accuracy
Types of Errors
Uncertainty
Propagation of Uncertainty: Triangular Distribution

Multiplication and division of values written in scientific notation.

###### Multiplication and Division

When multiplying or dividing your final answer will have the least number of significant figures.

Concept #1: Multiplication and Division Operations

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Example #1: Using the method discussed above, determine the answer when the following values are multiplied.

(2.134 x 105) ● (1.6 x 10-3) ● (3.07 x 106

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Example #2: Using the methods discussed above, determine the answer for the following mixed operations question.

[(7.33 x 108) ● (9.89 x 10-1)] / (6.12 x 1011)

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###### Multiplication and Division Calculations

Example #3: Perform the following calculation to the right number of sig figs:

[(9.12 x 10-5) + (6.33 x 10-3)] / [(1.15 x 107) - (3.72 x 106)]

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Practice: Perform the following calculation for the image below to the right number of sig figs:

[(11.422-0.800) + (8.0 + 1.115)/0.0720] 1.33 x 10-5 Practice: Compute the following and determine the correct number of significant figures in the answer for the image below:  ###### Expert Q&A

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