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**Chapter 2 Measurements 2.5 Prefixes and Equalities**

Learning Goal Use the numerical values of prefixes to write a metric equality. © 2014 Pearson Education, Inc.

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**1 kilometer (1 km) = 1000 meters**

Prefixes In the metric and SI systems of units, a prefix attached to any unit increases or decreases its size by some factor of 10. The relationship of a prefix to a unit can be expressed by replacing the prefix with its numerical value. 1 kilometer (1 km) = meters © 2014 Pearson Education, Inc.

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**Metric, SI Prefixes that Increase**

© 2014 Pearson Education, Inc.

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**Metric, SI Prefixes that Decrease**

© 2014 Pearson Education, Inc.

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**Measuring Length, Prefixes**

When the prefix centi is used with the unit meter, it becomes a centimeter, a length that is one-hundredth of a meter (0.01 m). When the prefix milli is used with the unit meter, it becomes a millimeter, a length that is one-thousandth of a meter (0.001 m). © 2014 Pearson Education, Inc.

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**Measuring Length, Equalities**

An equality shows the relationship between two units that measure the same quantity. For example, 1 m is the same length as 100 cm. The equality is written as: 1 m = 100 cm = 1 × 102 cm 1 m = 1000 mm = 1 × 103 mm 1 cm = 10 mm = 1 × 101 mm © 2014 Pearson Education, Inc.

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**Measuring Length, Equalities**

The metric length of 1 m is the same length as 10 dm, 100 cm, and 1000 mm. © 2014 Pearson Education, Inc.

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Measuring Volume A volume of 1 L or smaller is common in the laboratory. When a liter is divided into 10 equal parts, each is called a deciliter (dL). 1 L = 10 dL = 1 × 101 dL 1 L = 1000 mL = 1 × 103 mL 1 dL = 100 mL = 1 × 102 mL © 2014 Pearson Education, Inc.

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Measuring Volume The cubic centimeter (cm3 or cc) is the volume of a cube with the dimensions 1 cm × 1 cm × 1 cm. A cube measuring 10 cm on each side has a volume of 1000 cm3, or 1 L; a cube measuring 1 cm on each side has a volume of 1 cm3 1cc2 or 1 mL. © 2014 Pearson Education, Inc.

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**A cubic centimeter has the same volume as a milliliter.**

Measuring Volume A cubic centimeter has the same volume as a milliliter. 1 cm3 = 1 cc = 1 mL A cube measuring 10 cm on each side has a volume of 1000 cm3, or 1 L; a cube measuring 1 cm on each side has a volume of 1 cm3 1cc2 or 1 mL. © 2014 Pearson Education, Inc.

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**When measuring the mass of **

Measuring Mass When measuring the mass of your body, the mass is measured in kilograms (kg) laboratory samples, mass is reported in grams, milligrams (mg), or micrograms (μg) 1 kg = 1000 g = 1 × 103 g 1 g = 1000 mg = 1 × 103 mg 1 mg = 1000 μg = 1 × 103 μg © 2014 Pearson Education, Inc.

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**Measuring Mass, Equalities**

Equalities can be written for mass in the metric (SI) system. When metric equalities are used, 1 gram is the same mass as 1000 mg and kg. 1 kg = g 1 g = mg 1 mg = g 1 mg = µg © 2014 Pearson Education, Inc.

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**Indicate the unit that completes each of the following equalities: **

Learning Check Indicate the unit that completes each of the following equalities: 1000 m = _____ (1) 1 mm (2) 1 km (3) 1 dm 0.01 m = _____ (1) 1 mm (2) 1 cm (3) 1 dm © 2014 Pearson Education, Inc.

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**Indicate the unit that completes each of the following equalities: **

Solution Indicate the unit that completes each of the following equalities: 1000 m = _____ (2) 1 km 0.01 m = _____ (2) 1 cm © 2014 Pearson Education, Inc.

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**Complete each of the following equalities: 1 kg = _____ **

Learning Check Complete each of the following equalities: 1 kg = _____ (1) 10 g (2) 100 g (3) 1000 g B. 1 mm = _____ (1) m (2) 0.01 m (3) 0.1 m © 2014 Pearson Education, Inc.

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**Complete each of the following equalities: 1 kg = _____ (3) 1000 g **

Solution Complete each of the following equalities: 1 kg = _____ (3) 1000 g B. 1 mm = _____ (1) m © 2014 Pearson Education, Inc.

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