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Metric Prefixes

- Increase or decrease basic unit by 10
- Form new units larger or smaller than the basic units
- Indicate a numerical value

prefix = value

1 kilometer = 1000 meters

1 kilogram = 1000 grams

LecturePLUS Timberlake

Prefixes that Increase A Unit

Prefix Symbol Value

giga- G 1 000 000 000

mega- M 1 000 000

kilo- k 1 000

LecturePLUS Timberlake

Prefixes that Decrease A Unit

Prefix Symbol Value

deci- d 0.1

centi- c 0.01

milli- m 0.001

micro- (mu) 0.000 001

nano n 0.000 000 0001

LecturePLUS Timberlake

Learning Check

Match 1) length 2) mass 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.

LecturePLUS Timberlake

Solution

Match 1) length 2) mass 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.

LecturePLUS Timberlake

Learning Check

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

LecturePLUS Timberlake

Solution

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

LecturePLUS Timberlake

Learning Check

Indicate the prefix to use for

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

1) kilo 2) milli 3) mega

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

1) deci 2) centi 3) milli

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

1) nanosecond 2) microsecond 3)millisecond

LecturePLUS Timberlake

Equalities

State the same measurement in two different units

length

10.0 in.

25.4 cm

LecturePLUS Timberlake

Some Metric Equalities

Length

1 m = 100 cm

Mass

1 kg = 1000 g

Volume

1 L = 1000 mL

LecturePLUS Timberlake

Learning Check

A. 1000 m = 1 ___ 1) mm 2) km 3) dm

B. 0.001 g = 1 ___ 1) mg 2) kg 3) dg

C. 0.1 L = 1 ___ 1) mL 2) cL 3) dL

D. 0.01 m = 1 ___ 1) mm 2) cm 3) dm

LecturePLUS Timberlake

Solution

A. 1000 m = 1 ___ 2) km

B. 0.001 g = 1 ___ 1) mg

C. 0.1 L = 1 ___ 3) dL

D. 0.01 m = 1 ___ 2) cm

LecturePLUS Timberlake

Learning Check

Give the value of the following units:

A. 1 kg = ____ g

1) 10 g 2) 100 g 3) 1000 g

B. 1 mm = ____ m

1) 0.001 m 2) 0.01 m 3) 0.1 m

LecturePLUS Timberlake

Some American Equalities

1 ft = inches

1 lb = 16 oz

1 quart = pints

1 quart = 4 cups

Why are the quantities in each pair equal?

LecturePLUS Timberlake

Some American Equalities

1 ft = 12 inches

1 lb = 16 oz

1 quart = 2 pints

1 quart = 4 cups

The quantities in each pair give the same measured amount in two different units.

LecturePLUS Timberlake

Some Metric-American Equalities

1 in. = 2.54 cm

1 qt = 946 mL

1 L = 1.06 qt

1 lb = 454 g

1 kg = 2.20 lb

Remember these for exams.

LecturePLUS Timberlake

Equalities given in a Problem

Example 1

At the store, the price of one pound of red peppers is $2.39.

Equality: 1 lb red peppers = $2.39

Example 2

At the gas station, one gallon of gas is $1.34.

Equality: 1 gallon of gas = $1.34

LecturePLUS Timberlake

Conversion Factors

Fractions in which the numerator and denominator are quantities expressed in an equality between those units

Example: 1 in. = 2.54 cm

Factors: 1 in. and 2.54 cm

2.54 cm 1 in.

LecturePLUS Timberlake

Learning Check

Write conversion factors that relate each of the following pairs of units:

A. Liters and mL

B. Hours and minutes

D. Meters and kilometers

LecturePLUS Timberlake

Solution

A. quarts and mL 1 L = 1000 mL

1 L and 1000 mL

1000 mL 1 L

B. hours and minutes 1 hr = 60 min

1 hr and 60 min

60 min 1 hr

C. meters and kilometers 1 km = 1000 m

1 km and 1000 m

1000 m 1 km

LecturePLUS Timberlake

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