Ch.1 - Intro to General ChemistryWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds
Sections
Classification of Matter
Physical & Chemical Changes
Chemical Properties
Physical Properties
Intensive vs. Extensive Properties
Temperature
Scientific Notation
SI Units
Metric Prefixes
Significant Figures
Significant Figures: Precision in Measurements
Significant Figures: In Calculations
Conversion Factors
Dimensional Analysis
Density
Density of Geometric Objects
Density of Non-Geometric Objects
Additional Practice
The Scientific Method
Filtration
Standard Deviation, Mean, Median & Mode
Accuracy & Precision
LearnAdditional Practice
Next SectionConversion Factors

Significant Figures are often involved in chemical calculations. 

Significant Figures In Calculations

Concept #1: Significant Figure Rules with Multiplication and Division.

Concept #2: Significant Figure Rules with Addition and Subtraction.

Concept #3: Significant Figure Rules with Mixed Operations.

Practice: Perform the following calculation to the right number of sig figs:
[(1.7 × 106) ÷ (2.63 × 105)] + 6.96

Practice: Perform the following mathematical operations and express the result to the correct number of significant figures.
(6.404 × 2.91) / (18.7 – 17.1)

Practice: What answer should be reported, with the correct number of significant figures, for the following calculation?
[(42.00 − 40.915) ⋅ (25.739 − 25.729)] / [(11.50⋅1.001) + (0.00710 ⋅ 700.)]

Previous SectionSignificant Figures: Precision in Measurements
Next SectionConversion Factors
Additional Problems
At 4.000°C water’s density is 1.000 g/cm 3. For the range of temperatures associated with “room temperature” the density of pure water is: Density (g/cm 3) = (-0.00030 (g/°C • cm 3) x Temperature (°C) + 1.0042 (g/cm 3) Based on this thermometer reading, how many significant figures should you report for the calculated density? a) One                   b) Two                  c) Three                   d) Four                 e) Five
Give the correct number of significant figures for the following computation: a) 1 b) 2 c) 3 d) 4 e) 5
Perform the following calculation to the right number of sig figs: a) 1 b) 2 c) 3 d) 4
What answer should be reported, with the correct number of significant figures, for the following calculation? (965.43 × 3.911) + 9413.4136 A) 13189 B) 13189.2 C) 1.32 × 104 D) 1.3 × 104 E) 1.319 × 104
Calculate the following to the correct number of significant figures. a) 2 b) 1.5 c) 1.51 d) 1.510  e) 1.5103
Give the answer with correct significant figures. 4.56 / (7.49 + 5.493 - 5.345)        
What is the value for y, rounded correctly and to the proper number of significant figures when x = 0.320 in the following equation? y = 7.3562 x - 0.14 a. 2.2 b. 2.214 c. 2.2140 d. 2.21 e. 2.2138
Solve and give the correct number of significant figures to the problem below.5.80 x 10  –1 – 3.4 x 10 –2 =A) 5.5 x 10 –2B) 2.4 x 10 2C) 5.46 x 10 –1D) 2.4 x 10 –3E) 5.5 x 10 –1
What is the correctly reported mass of water based on this data? (A) 1.2980 g(B) 1.298 g(C) 1.30 g(D) 1.3 g
Calculate to the correct number of significant figures. a. 89.3 X 77.0 X 0.08 
Calculate to the correct number of significant figures. b. (5.01 X 105) ÷ (7.8 X 102) 
Calculate to the correct number of significant figures. c. 4.005 X 74 X 0.007 
Calculate to the correct number of significant figures. d. 453 ÷ 2.031 
Calculate to the correct number of significant figures. a. 43.7 - 2.341 
Calculate to the correct number of significant figures.b. 17.6 + 2.838 + 2.3 + 110.77 
Calculate to the correct number of significant figures.c. 19.6 + 58.33 - 4.974
Calculate to the correct number of significant figures.d. 5.99 - 5.572
Calculate to the correct number of significant figures. a. [( 1.7 X 106) ÷ (2.63 X 105)] + 7.33 
Calculate to the correct number of significant figures. b. (568.99 - 232.1) ÷ 5.3
Calculate to the correct number of significant figures.d. (3.14 X 2.4367) - 2.34 
Calculate to the correct number of significant figures. c. (9443 + 45 - 9.9) X 8.1 X 106
Do each calculation without using your calculator and give the answers to the correct number of significant figures. 1.76 X 10- 3 /  8.0 X 102 
Do each calculation without using your calculator and give the answers to the correct number of significant figures. b. 1.87 x 10- 2 + 2 x 10- 4 - 3.0 x 10-3 
Do each calculation without using your calculator and give the answers to the correct number of significant figures.[(1.36 X 105)(0.000322)/ 0.082](129.2) 
(a) How many significant figures should be reported for the volume of the metal bar shown below? [5ection 1.5] 
Carry out the following operations, and express the answers with the appropriate number of significant figures.(a) 12.0550 + 9.05
Carry out the following operations, and express the answers with the appropriate number of significant figures.(b) 257.2 - 19.789 
Carry out the following operations, and express the answers with the appropriate number of significant figures.(e) (6.21 x 103) (0.1050) 
Carry out the following operations, and express the answers with the appropriate number of significant figures.(d) 0.0577/ 0.753 
Carry out the following operations, and express the answer with the appropriate number of significant figures.(a) 320.5 - (6104.5/2.3)
Carry out the following operations, and express the answer with the appropriate number of significant figures.(b) [(285.3 x 105) – (1.200 x 103)] x 2.8954
Carry out the following operations, and express the answer with the appropriate number of significant figures.(c) (0.0045 x 20,000.0) + (2813 x 12)
Evaluate each of the following and write the answer to the appropriate number of significant figures.a. 212.2 + 26.7 + 402.09
Evaluate each of the following and write the answer to the appropriate number of significant figures.b. 1.0028 + 0.221 + 0.10337
Evaluate each of the following and write the answer to the appropriate number of significant figures.c. 52.331 + 26.01 - 0.9981
Evaluate each of the following and write the answer to the appropriate number of significant figures.d. 2.01 x 102 + 3.014 x 103
Evaluate each of the following and write the answer to the appropriate number of significant figures.e. 7.255 - 6.8350
Perform the following mathematical operations, and express each result to the correct number of significant figures.a. 0.102 x 0.0821 x 273 / 1.01
Perform the following mathematical operations, and express each result to the correct number of significant figures.b. 0.14 x 6.022 x 10 23
Perform the following mathematical operations, and express each result to the correct number of significant figures.c. 4.0 x 10 4 x 5.021 x 10-3 x 7.34993 x 102
Perform the following mathematical operations, and express each result to the correct number of significant figures.d. 2.00 x 106 / 3.00 x 10 -7
Perform the following mathematical operations and express the result to the correct number of significant figures.a. 2.526 / 3.1 + 0.470 / 0.623 + 80.705 / 0.4326
Perform the following mathematical operations and express the result to the correct number of significant figures.b. (6.404 x 2.91) / (18.7 - 17.1)
Perform the following mathematical operations and express the result to the correct number of significant figures.c. 6.071 x 10-5 - 8.2 x 10-6 - 0.521 x 10-4
Perform the following mathematical operations and express the result to the correct number of significant figures.d. (3.8 x 10-12 + 4.0 x 10-13) / (4 x 1012 + 6.3 x 1013)
Perform the following mathematical operations and express the result to the correct number of significant figures.e. 9.5 + 4.1 + 2.8 + 3.175 / 4(Assume that this operation is taking the average of four numbers. Thus 4 in the denominator is exact.)
Perform the following mathematical operations and express the result to the correct number of significant figures.f. 8.925 - 8.905 / 8.925 x 100(This type of calculation is done many times in calculating a percentage error. Assume that this example is such a calculation; thus 100 can be considered to be an exact number.)
How many significant figures should be used to express the value of x? x = (23.714 + 86.97 - 0.8693) / 31.7400 ? A) two B) three C) four D) five E) six
Determine the number of significant figures for the result of the following arithmetic calculations. (i) (332.41 + 711.59) (ii) (3.00 x 92.11) / 1.250 (iii) [(25.01 x 6.0) + 40.11] A) 6, 3, 2 B) 4, 3, 3 C) 5, 3, 2 D) 5, 4, 3 E) 5, 3, 4
What is the correct answer to the following expression? 4.13 x 10-10 + 7.59 x 10 -12 a. 4.21 x 10-10 b. 4.2 x 10-10 c. 4 x 10-10 d. 4.206 x 10-10 e. 4.2059 x 10-10