Chapter 3 Scientific Measurement 3.3 Solving Conversion Problems 3.1 Using and Expressing Measurements 3.2 Units of Measurement 3.3 Solving Conversion Problems Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Do Now: A fish tank measures 40.5 cm long by 20.5 cm wide by 30.5 cm high. The density of water is 1.00 g/cm3. What mass of water will fill the tank half way? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

1 dollar = 4 quarters = 10 dimes = Conversion Factors A quantity can be expressed in different ways. 1 dollar = 4 quarters = 10 dimes = 20 nickels = 100 pennies Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Conversion factor: ratio of equivalent measurements. Conversion Factors Conversion factor: ratio of equivalent measurements. 1 dollar = 4 quarters conversion factors 1 dollar 4 quarters Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

1 inch = 2.54 cm Conversion Factors 1 inch or 2.54 cm Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Dimensional Analysis Dimensional analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements. Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Commonly Used Metric Prefixes Symbol Multiplier Factor Example kilo k 1000 103 1 km = 1000 m deca da 10 101 1 dm = 10 m centi c 0.01 10-2 1 cm = 0.01 m milli m 0.001 10-3 1 mm = 0.001 m micro µ 0.000001 10-6 1 µm = 0.000001 m nano n 0.000000001 10-9 1 nm = 0.000000001 m Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Using Dimensional Analysis Sample Problem 3.9 Using Dimensional Analysis How many seconds are in a workday that lasts exactly eight hours? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Converting Between Metric Units Sample Problem 3.13 Converting Between Metric Units The diameter of a sewing needle is 0.073 cm. What is the diameter in micrometers? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

END OF 3.3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.