Ch.3 - Experimental ErrorWorksheetSee all chapters
All Chapters
Ch.1 - Chemical Measurements
Ch.2 - Tools of the Trade
Ch.3 - Experimental Error
Ch.4 + 5 - Statistics, Quality Assurance and Calibration Methods
Ch.6 - Chemical Equilibrium
Ch.7 - Activity and the Systematic Treatment of Equilibrium
Ch.8 - Monoprotic Acid-Base Equilibria
Ch.9 - Polyprotic Acid-Base Equilibria
Ch.10 - Acid-Base Titrations
Ch.11 - EDTA Titrations
Ch.12 - Advanced Topics in Equilibrium
Ch.13 - Fundamentals of Electrochemistry
Ch.14 - Electrodes and Potentiometry
Ch.15 - Redox Titrations
Ch.16 - Electroanalytical Techniques
Ch.17 - Fundamentals of Spectrophotometry
BONUS: Chemical Kinetics

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

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

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)

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)]

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: