1. Rounding Off

1. Significant Figures in Calculations
   • Multiplication and Division

Perform the following multiplication and division calculations. Give a final answer with the correct number of significant figures:

0.1184 ´ 8.00 ´ 0.0345                                                                      

(42.4)(15.6)

1.265

(35.56)(1.45)

(4.8)(0.56)

• Addition and Subtraction

Perform the following addition and subtraction calculations. Give a final answer with the correct number of decimal places.

13.45 mL + 0.4552 mL

145.5 m + 86.58 m + 1045 m                                                              

245.625 g – 80.2 g                                                                             

4.62 cm – 0.885 cm                                                                           

Copyright © 2014 Pearson Education, Inc.                                                                                                                      19

• Area

Why could two students obtain different values for the calculated area of the same rectangle?

• Volume of a Solid
  1. Shape of the solid  Dimensions to measure                                            

1. Height Length                                  Width    Diameter (if cylinder)                              

1. Formula for volume of solid

Volume of the solid                                                                                               (Show calculations of volume, including the units.)

1. Equalities and Conversion Factors

Conversion Factors and Problem Solving 21

C.1    Metric—Metric Conversion Factors for Volume

1.   Equality                           1 L  =                                mL

1. Conversion factors

• Metric—U.S. System Conversion Factors for Volume

1. Number of milliliters in 1 qt                              mL (Experimental factor)

2.  True equality                    1 qt  =                                mL

1. Conversion factors

How does your experimental factor compare to the conversion factor 946 mL/1 qt.?

C.3    Metric—U.S. System Conversion Factors for Length

1. Vertical page length (measured) Vertical page length (measured)                                                                  cm
2.                                    cm/in. =                                 cm/1 (Experimental factor)

3.  True equality                     in. =                                 cm

1. Conversion factors

How does your experimental factor compare to the conversion factor 2.54 cm/1 in.?

C.4    Metric—U.S. System Conversion Factors for Mass

1.  Name of commercial product                                                               

1. Mass, in grams, stated on label                                      g Weight, in pounds or ounces, stated on label                                    
2. Weight in lb                                      lb (Convert oz to lb if )
3.                                                          g/lb  =                                         g/1 lb (Experimental factor)

5.  True equality                                     1 lb  =                                          g

1. Conversion factors

How does your experimental factor compare to the standard conversion factor of 454 g/lb?

D.      Problem Solving Using Conversion Factors

Your metric height

1. Height (inches)                                             in.

1. Height in centimeters cm (Show your calculations)

1. Height in meters m    (Show your calculations)

Questions and Problems

Q1 A pencil is 16.2 cm long. What is its length in inches?

Q2 A person has a mass of 63.4 kg. What is that weight in pounds?

Q3 A bottle of olive oil contains 1.4 qt of olive oil. What is that volume in milliliters?

Q4 How many liters of plasma are present in 8.5 pt?