Math 008 - Cooley Prealgebra OCC

Section 10.1 – Using Unit Fractions with U.S. and Metric Units

American (U.S.) System of Measurement

Length Time 12 inches = 1 foot 60 seconds = 1 minute 36 inches = 1 yard 60 minutes = 1 hour 3 feet = 1 yard 24 hours = 1 day 5280 feet = 1 mile 7 days = 1 week

Weight Volume 16 ounces = 1 pound 8 fluid ounces = 1 cup 2000 pounds = 1 ton 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon

Metric Units of Length

kilo– hecto– deka– deci– centi– milli– Prefix meter meter meter meter meter meter meter Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion meters meters meters meter meter meter meter Symbol km hm dam m dm cm mm

Metric Units of Mass

kilo– hecto– deka– deci– centi– milli– Prefix gram gram gram gram gram gram gram Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion grams grams grams gram gram gram gram Symbol kg hg dag g dg cg mg

Metric Units of Volume

kilo– hecto– deka– deci– centi– milli– Prefix Liter liter liter liter liter liter liter Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion liters liters liters liter liter liter liter Symbol kL hL daL L dL cL mL

1 Math 008 - Cooley Prealgebra OCC

Section 10.1 – Using Unit Fractions with U.S. and Metric Units Stairwell model of metric measurement.

Ruler model of metric measurement.

–gram

kilo– hecto– deka– –meter deci– centi– milli–

–liter

× 103 × 102 × 101 × 100 × 10-1 × 10-2 × 10-3

or or or or or or or

× 1000 × 100 × 10 × 1 × 0.1 × 0.01 × 0.001

Mnemonic devices for common metric units.

Section 10.1 – Using Unit Fractions with U.S. and Metric Units Prefix kilo hecto deka unit deci centi milli Mnemonic King Henry doesn't usually drink chocolate milk Comparison 1000 100 10 1 0.1 0.01 0.001

More mnemonic devices for common metric units: king henry drinks many dark chocolate milks king henry drinks unusual decaf coffee mochas king henry danced merrily down center main

 Exercises: Fill in the missing blanks.

kilo- hecto- deka- -meter deci- centi- milli-

32 m 657 cg 0.789 km 2543.28 mL 3.1 dg

 Exercises: Complete the following statements. Use unit analysis to express each conversion.

1) 63 feet = ______yards

2) 11 feet = ______inches

3) 5 miles = ______feet

4) 21,120 feet = ______miles

5) 15 gallons = ______quarts

6) 24 pints = ______quarts

7) 40 fluid ounces = ______cups

8) 56 days = ______weeks

Section 10.1 – Using Unit Fractions with U.S. and Metric Units 9) 1500 seconds = ______minutes

10) 90 inches = ______feet

Section 10.1 – Using Unit Fractions with U.S. and Metric Units

 Exercises:

Complete the following statements. Use unit analysis to express each conversion.

11) 79 cm = ______mm

12) 2940 g = ______kg

13) 8.3 km = ______m

14) 10,600 mm = ______m

15) 31.5 mL = ______L

16) 35 dg = ______cg

17) 9.14 cm = ______m

18) 840 mm = ______km

19) 270 dm = ______m

20) 530 dam = ______m

21) 14.3 kL = ______mL

22) 435 hm = ______km

23) 35 g = ______mg