1 1.5 & 1.6 Measurement Units and The Metric System Copyright © 2005 by Pearson Education, Inc....

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1.5 & 1.6

Measurement Units and The Metric System

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

Chapter 1 Matter, Measurements, &

Calculations

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Measurement

You make a measurement every time you

• measure your height.

• read your watch.

• take your temperature.

• weigh a cantaloupe.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Measurement in Chemistry

In chemistry we

• measure quantities.• do experiments.• calculate results. • use numbers to report

measurements.• compare results to

standards.Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Measurement

In a measurement

• a measuring tool is used to compare some dimension of an object to a standard.

• of the thickness of the skin fold at the waist, calipers are used.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Stating a Measurement

In every measurement, a number is followed by a unit.

Observe the following examples of measurements:

Number and Unit

35 m

0.25 L

225 lb

3.4 hr

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The Metric System (SI)

The metric system or SI (international system) is

• a decimal system based on 10.

• used in most of the world.

• used everywhere by scientists.

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Units in the Metric System

In the metric and SI systems, one unit is used for each type of measurement:

Measurement Metric SILength meter (m) meter (m)Volume liter (L) cubic meter (m3)Mass gram (g) kilogram (kg)Time second (s) second (s)Temperature Celsius (C) Kelvin (K)

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Length Measurement

Length

• is measured using a meter stick.

• uses the unit of meter (m) in both the metric and SI systems.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Inches and Centimeters

The unit of an inch is equal to exactly 2.54 centimeters in the metric (SI) system.

1 in. = 2.54 cm

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Volume Measurement

Volume • is the space occupied by a

substance.

• uses the unit liter (L) in metric system.

• 1 L = 1.057 qt

• uses the unit m3(cubic meter) in the SI system.

• is measured using a graduated cylinder.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Mass Measurement

The mass of an object

• is the quantity of material it contains.

• is measured on a balance.• uses the unit gram (g) in the

metric system.• uses the unit kilogram (kg) in

the SI system.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Temperature Measurement

The temperature of a substance

• indicates how hot or cold it is.

• is measured on the Celsius (C) scale in the metric system.

• on this thermometer is 18ºC or 64ºF.

• in the SI system uses the Kelvin (K) scale.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Time Measurement

Time measurement

• uses the unit second(s) in both the metric and SI systems.

• is based on an atomic clock that uses a frequency emitted by cesium atoms.

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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For each of the following, indicate whether the unit describes 1) length 2) mass or 3) volume.

____ A. A bag of tomatoes is 4.6 kg.

____ B. A person is 2.0 m tall.

____ C. A medication contains 0.50 g aspirin.

____ D. A bottle contains 1.5 L of water.

Learning Check

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For each of the following, indicate whether the unit describes 1) length 2) mass or 3) volume.

2 A. A bag of tomatoes is 4.6 kg.

1 B. A person is 2.0 m tall.

2 C. A medication contains 0.50 g aspirin.

3 D. A bottle contains 1.5 L of water.

Solution

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Learning Check

Identify the measurement that has an SI unit. A. John’s height is

1) 1.5 yd. 2) 6 ft . 3) 2.1 m.

B. The race was won in1) 19.6 s. 2) 14.2 min. 3) 3.5 hr.

C. The mass of a lemon is1) 12 oz. 2) 0.145 kg. 3) 0.6 lb.

D. The temperature is1) 85C. 2) 255 K. 3) 45F.

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Solution

A. John’s height is 3) 2.1 m.

B. The race was won in1) 19.6 s.

C. The mass of a lemon is2) 0.145 kg.

D. The temperature is2) 255 K.

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Prefixes

A prefix

in front of a unit increases or decreases the size of that unit.

makes units larger or smaller that the initial unit by one or more factors of 10.

indicates a numerical value.

prefix = value

1 kilometer = 1000 meters

1 kilogram = 1000 grams

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Metric and SI Prefixes

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Indicate the unit that matches the description.

1. A mass that is 1000 times greater than 1 gram.

1) kilogram 2) milligram 3) megagram

2. A length that is 1/100 of 1 meter.

1) decimeter 2) centimeter 3) millimeter

3. A unit of time that is 1/1000 of a second.

1) nanosecond 2) microsecond 3) millisecond

Learning Check

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Indicate the unit that matches the description.

1. A mass that is 1000 times greater than 1 gram.

1) kilogram

2. A length that is 1/100 of 1 meter.

2) centimeter

3. A unit of time that is 1/1000 of a second.

3) millisecond

Solution

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Select the unit you would use to measure

A. your height. 1) millimeters 2) meters 3) kilometers

B. your mass. 1) milligrams 2) grams 3) kilograms

C. the distance between two cities. 1) millimeters 2) meters 3) kilometers

D. the width of an artery. 1) millimeters 2) meters 3) kilometers

Learning Check

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A. your height.

2) meters

B. your mass.

3) kilograms

C. the distance between two cities.

3) kilometers

D. the width of an artery.

1) millimeters

Solution

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An equality

states the same measurement in two different units.can be written using the relationships between two

metric units.

Example: 1 meter is the same as 100 cm and 1000 mm.

1 m = 100 cm

1 m = 1000 mm

Metric Equalities

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Measuring Length

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Measuring Volume

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Measuring Mass

Several equalities can be written for mass in the metric (SI) system

1 kg = 1000 g

1 g = 1000 mg

1 mg = 0.001 g

1 mg = 1000 µg

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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Indicate the unit that completes each of the following

equalities.

A. 1000 m = 1) 1 mm 2) 1 km 2) 1 dm

B. 0.001 g = 1) 1 mg 2) 1 kg 2) 1 dg

C. 0.1 s = 1) 1 ms 2) 1 cs 2) 1 ds

D. 0.01 m = 1) 1 mm 2) 1 cm 2) 1 dm

Learning Check

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Indicate the unit that completes each of the following

equalities.

A. 2) 1000 m = 1 km

B. 1) 0.001 g = 1 mg

C. 3) 0.1 s = 1 ds

D. 2) 0.01 m = 1 cm

Solution

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Complete each of the following equalities.

A. 1 kg = 1) 10 g 2) 100 g 3) 1000 g

B. 1 mm = 1) 0.001 m 2) 0.01 m 3) 0.1 m

Learning Check

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Complete each of the following equalities.

A. 1 kg = 1000 g (3)

B. 1 mm = 0.001 m (1)

Solution