Conversion of Units

Units of length and distances

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mmmmm

m

mmm

25001

10005.2

5.2.)1

mnmm

nm

mmnm

79 10031.1

101

1.103

1.103.)2

mkm

mkm

mkm

56001

10006.5

6.5.)3

mmmmm

m

mmm

348.11

1000001348.0

001348.0.)4

mcmm

cm

mcm

47.2100

1247

247.)5

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kmm

kmcmm

cm

kmcm

0356.01000

1100

13560

3560.)1

kmm

kmmmm

mm

kmmm

5101.81000

11000

181

81.)2

nmmnm

kmm

km

nmkm

139

102.11

101

100012

12.)3

cmmcm

mm

m

cmm

998.41

10010

1004998.0

004998.0.)4

6

nmmnm

cmm

cm

nmcm

99

1023.61

10100

1623

623.)5

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Conversion of Units Metric → EnglishEnglish → Metric

Distances

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Conversion Factors

• 1 km = 0.62miles (mi)• 1 mile = 5280feet (ft)• 1 feet (ft) = 12 inches (in)• 1 inch (in) = 2.54 centimeter (cm)

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Exercises

1. 22cm → inches2. 607mi → km3. 0.35mi → ft4. 3inches → cm5. 2.0km → miles

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inchescm

inchcm

inchescm

7.854.2

122

22.)1

kmkmkmmileskm

miles

kmmiles

31079.997903.97962.01

607

607.)2

ftftftmile

ftmiles

ftmiles

3108.118004818481

528035.0

35.0.)3

cmcmincm

inches

cminches

862.7154.2

3

3.)4

milesmileskmmiles

km

mileskm

2.124.11

62.00.2

0.2.)5

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Exercise: (complex)

1. 1.47inches → m2. 0.50ft → km3. 16m → inches4. 75miles → m5. 0.2km → ft

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inchesinches

inchescm

inchmcm

m

inchesm

kmmi

kmft

mift

kmft

mcmm

incm

in

minches

2

4

103.6630

92.62954.2

11

10016

16.)3

105.162.01

52801

50.0

50.0.)2

0373.0100

1154.2

147

147.)1

ftft

ftmift

kmmi

km

ftkm

meters

mkm

mmi

kmmiles

mmiles

2

5

107700

72.6541

5280162.0

2.0

2.0.)5

102.1

74.9671201

100062.01

75

75.)4

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Conversion of Units

Units of Mass

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Conversion Factors

• Metric– 1 kilogram (kg) = 1000gram (g)– 1 gram (g) = 1000 milligrams (mg)– 1 gram (g) = 106 microgram (μg)

• English– 1 kilogram (kg) = 2.2 pounds (lbs)– 1 pound (lb) = 16 ounces (oz)– 1 ton = 2000 pounds (lbs)

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Exercises

1) 9.9kg → grams2) 58 mg → grams3) 31.4g → μg4) 12 pounds → ounces5) 350pounds → kilogram

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Exercises (complex)

1) 0.83 kilograms → milligrams2) 1.6 pounds → grams3) 16ounces → kilograms4) 1 ton → grams5) 1 microgram → kg

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kglbskg

ozlb

oz

kgoz

ggkg

glbskg

lbs

gramslbs

mgmggmg

kgg

kg

mgkg

45.02.21

161

16

16.)3

103.7/7301

10002.21

6.1

6.1.)2

103.8/8300001

10001

100083.0

83.0.)1

2

5

kgg

kgg

gg

kgg

ggkg

glbskg

tonlbs

ton

gramston

96

5

1011000

110

11

1.)5

109/9000001

10002.21

12000

1

1.)4

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Review Quiz

Unit Conversion

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Convert the following units of distances:

1. 2.0km → miles2. 6.0 ft → meters3. 12inches → centimeter4. 1.0mile → cm5. 1.00nm → inches

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Convert the following units of mass:

1. 45 kg → lbs2. 10.0 grams → kg3. 500 mg → kg4. 2.2 lbs → μg5. 12 oz → g

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Conversion of Units

Units of Volume

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Conversion Factors

• Metric– 1 liter (L) = 1000milliliter (mL)– 1 milliliter (mL) = 1 cubic centimeter

(cm3)– 1 cubic meter (m3) = 106 cm3

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Exercises

1) 1.5liters → milliliters2) 5000 mL → L3) 3.0 cm3 → m3

4) 1.0 m3 → L5) 8.0 mL → cm3

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3636

33

33

3

100.310

10.3

0.3.)3

51000

15000

5000.)2

105.1/15001

10005.1

5.1.)1

mcmm

cm

mcm

LmLL

mL

LmL

mLmLLmL

L

mLL

33

3

333

363

3

0.811

0.8

0.8.)5

100.11000

111

110

0.1

0.1.)4

cmmlcm

mL

cmmL

LmLL

cmmL

mcm

m

Lm

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Conversion of Units

Units of Time

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Conversion Factors

• 1 day = 24 hours (hr)• 1 hour (hr) = 60 minutes (min)• 1 minute (min) = 60 seconds (s)• 1 second (s) = 1000 millisecond (ms)

• 1 week = 7 days• 1 year = 365.2 days

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Exercises

1) 40min → hours2) 24 hours → seconds3) 1.0 days → minutes4) 1.0 week → minutes5) 1.0 year → hours

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min104.1min14401

min60124

0.1

min0.1.)3

106.886400min1

601

min6024

sec24.)2

667.0min60

1min0.40

min0.40.)1

3

4

hrdayhr

day

day

sss

hrhours

ondshours

hourhour

hours

hrhoursdayhr

year

year

hrdayhr

weekdays

week

week

3

4

108.88.8764124

1365.2days

1.0yr

hours0.1.)5

min100.1min100801

min60124

17

0.1

min0.1.)4

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Conversion of Units

Units of Temperature

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Conversion Formulas

• °C = 5/9 (°F-32)• °C = 0.56 (°F-32)

• °F = 9/5 (°C) + 32• °F = 1.8(°C) + 32

• K = °C + 273• °C = K - 273

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Exercises

1) 100 °C → °F2) 50.0 °F → °C3) 100 °C → K4) 300K → °C5) 45.0 °F → K

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