Nelson Reyes-Alvarez - Unit Conversions- Math Skills Transparency Masters PDF

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8/20/2021

Nelson Reyes-Alvarez

Name

Period 7

Date

Class

4

MATH HANDBOOK TRANSPARENCY MASTER

Unit Conversion

Use with Appendix B, Unit Conversion

Common SI Prefixes Symbol

Exponential Notation

Symbol

Exponential Notation

peta

P

1015

deci

d

10⫺1

tera

T

1012

centi

c

10⫺2

giga

G

109

milli

m

10⫺3

mega

M

106

micro

␮

10⫺6

kilo

k

103

nano

n

10⫺9

hecto

h

102

pico

p

10⫺12

deka

da

101

femto

f

10⫺15

Prefix

Prefix

Copyright © Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc.

Express 42 kilograms in grams. You are given the number of kilograms. To convert to the number of grams, use the table to determine the relationship between kilograms and grams. Set up conversion factors relating the number of kilograms and the number of grams.

1000 g 1 kg ᎏ and ᎏ 1000 g 1 kg Choose the conversion factor that cancels units of kilograms and gives an answer in number of grams.

1000 g 42 kg ⴛ ᎏ ⴝ 42 000 g ⴝ 4.2 ⴛ 104 g 1 kg The answer is expressed in the desired unit, grams. When you convert from a large unit to a small unit, the number of units increases. Math Handbook Transparency Masters

Chemistry: Matter and Change

97

Nelson Reyes-Alvarez

Name

Period 7

8/20/2021 Date

Class

MATH HANDBOOK TRANSPARENCY WORKSHEET

Unit Conversion

4

Use with Appendix B, Unit Conversion

Convert the following measurements as indicated. Express each answer in scientific notation. 6 x 10^3 1. 6 km ⫽ m

6 km ⴛ 103 m/1 km ⴝ 6 ⴛ 103 m 4.9 × 10^-3 2. 4.9 mg ⫽ g

4.9 mg ⴛ 1 g/103 mg ⴝ 4.9 ⴛ 10ⴚ3 g 7.6 x 10^2 3. 7.6 dm ⫽ mm

7.6 dm ⴛ 1 m/101 dm ⴛ 103 mm/1 m ⴝ 7.6 ⴛ 10ⴚ1 ⴙ 3 mm ⴝ 7.6 ⴛ 102 mm 3.21 x 10^3 4. 32.1 g ⫽ cg

32.1 g ⴛ 102 cg/1 g ⴝ 32.1 ⴛ 102 cg ⴝ 3.21 ⴛ 103 cg 5.6 x 10^1 5. 5.6 ⫻ 103 cm ⫽ m

6. 760 g ⫽

7.6 x 10^-1 kg

760 g ⴛ 1 kg/103 g ⴝ 760 ⴛ 10ⴚ3 kg ⴝ 7.6 ⴛ 10ⴚ1 kg 4.5×10^6 7. 4.50 km2 ⫽

m2

4.50 km2 ⴛ (103 m)2/1 km2 ⴝ 4.50 ⴛ 106 m2 8. 1.23 g/mL ⫽

1.23 x 10^0 kg/L

1.23 g/mL ⴛ 1 kg/103 g ⴛ 103 mL/1 L ⴝ 1.23 ⴛ 10ⴚ3 ⴙ 3 kg/L ⴝ 1.23 kg/L 1.2 x 10^13 9. 12 km ⫽ nm

12 km ⴛ 103 m/1 km ⴛ 109 nm/1 m ⴝ 12 ⴛ 103 ⴙ 9 nm ⴝ 12 ⴛ 1012 nm ⴝ 1.2 ⴛ 1013 nm 10. 6.4 mg ⫽

6.4 x 10^9 pg

6.4 mg ⴛ 1 g/103 mg ⴛ 1012 pg/g ⴝ 6.4 ⴛ 10ⴚ3 ⴙ 12 pg ⴝ 6.4 ⴛ 109 pg

98

Chemistry: Matter and Change

Math Handbook Transparency Worksheets

Copyright © Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc.

5.6 ⴛ 103 cm ⴛ 1 m/102 cm ⴝ 5.6 ⴛ 103 ⴚ 2 m ⴝ 5.6 ⴛ 101 m...