lectureplus timberlake1 chapter 1 measurements prefixes and equalities

LecturePLUS Timberlake 1

Chapter 1Measurements

Prefixes and

Equalities


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


Prefixes that Increase A Unit

Prefix Symbol Value

giga- G 1 000 000 000

mega- M 1 000 000

kilo- k 1 000


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


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.


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.


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


D. The width of an artery



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


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


Solution

1. 1) kilo

2. 2) centi

3. 3) millisecond


Equalities

State the same measurement in two different units

length

10.0 in.

25.4 cm


Some Metric Equalities

Length

1 m = 100 cm

Mass

1 kg = 1000 g

Volume

1 L = 1000 mL


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

Learning Check


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

Solution


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

Learning Check


A. 1 kg = ____ g

3) 1000 g

B. 1 mm = ____ m

1) 0.001 m

Solution


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?


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.


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.


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


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.


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


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 timberlake1 chapter 1 measurements prefixes and equalities

Documents

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