6th Grade Math Textbook, Fundamentals

(Marvins-Underground-K-12) #1
 &KDSWHU

4-15


Rename larger units as smaller units.


  • 240 L cL
    1 L 100 cL and (100)240 24,000
    So 240 L 24 000 cL.

  • 38 g  cg
    1 g 100 cg and (100)38  3800
    So 38 g 3800 cg.


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1 Rename smaller units as larger units.



  • 240 L  kL
    1000 L 1 kL and 240  1000 0.240
    So 240 L 0.24 kL.

  • 38 g  kg
    1000 g 1 kg and 38  1000 0.038
    So 38 g 0.038 kg.


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2

Rename Metric Units of Measure


Objective To rename metric units of length, capacity, and mass

The strenuous Wild Cave Tour hike in Kentucky’s
Mammoth Cave National Park covers a distance of
about 9170 meters. How many centimeters and how
many kilometers are equivalent to 9170 meters?
To find the number of centimeters and kilometers,
rename meters as centimeters and as kilometers.

To convert from one metric unit to another, multiply or divide by a power of 10.

So 917 000 cm and 9.17 km are equivalent to 9170 m.

Rename units of capacity and mass the same way

you rename metric units of length.

Metric Units of Capacity and Mass
thousands hundreds tens ones tenths hundredths thousandths
1000 100 10 1 0.1 0.01 0.001
kiloliter
(kL)

hectoliter
(hL)

dekaliter
(daL)

liter
(L)

deciliter
(dL)

centiliter
(cL)

milliliter
(mL)
kilogram
(kg)

hectogram
(hg)

dekagram
(dag)

gram
(g)

decigram
(dg)

centigram
(cg)

milligram
(mg)

Multiplyby a power of 10 to rename larger units
as smaller units. There will be moresmaller units.
9170 m  cm
1 m 100 cm
Multiply m by 100 to change m to cm.
9170(100) 917 000, so 9170 m 917 000 cm

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Divideby a power of 10 to rename smaller units
as larger units. There will be fewerlarger units.
9170 m  km
1000 m 1 km
Divide m by 1000 to change m to km.
9170  1000 9.17, so 9170 m 9.17 km

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Metric Units of Length
thousands hundreds tens ones tenths hundredths thousandths
1000 100 10 1 0.1 0.01 0.001
kilometer
(km)

hectometer
(hm)

dekameter
(dam)

meter
(m)

decimeter
(dm)

centimeter
(cm)

millimeter
(mm)

The meter is the base unit of measure for length.
The liter is the base unit of measure for capacity.
The gram is the base unit of measure for mass.
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