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GOAL 3

Measurements

LecturePLUS Timberlake

1
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

2
Prefixes that Increase A Unit
Prefix

Symbol

Value

giga-

G

1 000 000 000

megakilo-

M
k

1 000 000
1 000

LecturePLUS Timberlake

3
Prefixes that Decrease A Unit
Prefix

Symbol

Value

decicentimillimicronano

d
c
m
 (mu)
n

0.1
0.01
0.001
0.000 001
0.000 000 0001

LecturePLUS Timberlake

4
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

5
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

6
Learning Check
Select the unit you would use to measure
A. Your height
1) millimeters

2) meters

3) kilometers

2) grams

3) kilograms

B. Your mass
1) milligrams

C. The distance between two cities
1) millimeters

2) meters

3) kilometers

D. The width of an artery

1) millimeters

2) meters
LecturePLUS Timberlake

3) kilometers
7
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

8
Equalities
State the same measurement in two different
units
length
10.0 in.
25.4 cm

LecturePLUS Timberlake

9
Some Metric Equalities
Length
1m

=

100 cm

=

1000 g

=

1000 mL

Mass
1 kg
Volume

1L

LecturePLUS Timberlake

10
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

11
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

12
Some American Equalities
1 ft

=

12 inches

1 lb

=

16

1 quart

=

2 pints

1 quart

=

4 cups

oz

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

13
Some Metric-American Equalities
1 in.

=

2.54 cm

1 qt

=

946 mL

1L

=

1.06 qt

1 lb

=

454 g

1 kg

=

2.20 lb

Remember these for exams.
LecturePLUS Timberlake

14
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
LecturePLUS Timberlake

=

$1.34
15
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.
2.54 cm

and

LecturePLUS Timberlake

2.54 cm
1 in.
16
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

17
Solution
A. quarts and mL
1L
and
1000 mL

1 L = 1000 mL
1000 mL
1L

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

18

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Ppt prefixes and equivalences

  • 2. 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 2
  • 3. Prefixes that Increase A Unit Prefix Symbol Value giga- G 1 000 000 000 megakilo- M k 1 000 000 1 000 LecturePLUS Timberlake 3
  • 4. Prefixes that Decrease A Unit Prefix Symbol Value decicentimillimicronano d c m  (mu) n 0.1 0.01 0.001 0.000 001 0.000 000 0001 LecturePLUS Timberlake 4
  • 5. 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 5
  • 6. 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 6
  • 7. Learning Check Select the unit you would use to measure A. Your height 1) millimeters 2) meters 3) kilometers 2) grams 3) kilograms B. Your mass 1) milligrams C. The distance between two cities 1) millimeters 2) meters 3) kilometers D. The width of an artery 1) millimeters 2) meters LecturePLUS Timberlake 3) kilometers 7
  • 8. 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 8
  • 9. Equalities State the same measurement in two different units length 10.0 in. 25.4 cm LecturePLUS Timberlake 9
  • 10. Some Metric Equalities Length 1m = 100 cm = 1000 g = 1000 mL Mass 1 kg Volume 1L LecturePLUS Timberlake 10
  • 11. 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 11
  • 12. 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 12
  • 13. Some American Equalities 1 ft = 12 inches 1 lb = 16 1 quart = 2 pints 1 quart = 4 cups oz The quantities in each pair give the same measured amount in two different units. LecturePLUS Timberlake 13
  • 14. Some Metric-American Equalities 1 in. = 2.54 cm 1 qt = 946 mL 1L = 1.06 qt 1 lb = 454 g 1 kg = 2.20 lb Remember these for exams. LecturePLUS Timberlake 14
  • 15. 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 LecturePLUS Timberlake = $1.34 15
  • 16. 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. 2.54 cm and LecturePLUS Timberlake 2.54 cm 1 in. 16
  • 17. 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 17
  • 18. Solution A. quarts and mL 1L and 1000 mL 1 L = 1000 mL 1000 mL 1L 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 18