6th Grade Math Textbook, Fundamentals

Lesson 4-15 for exercise sets. &KDSWHU 

&KHFN<RXU3URJUHVVIII

Rename each unit of measure.

1.3 m  km 2.99.5 m  cm 3.0.41 g  kg

4.6.1 kL  L 5.2483 mL  L 6.18.4 dag  dg

Write the capacity and the mass of each cube of water.

7.Volume of cube: 8 cm^3 8.Volume of cube: 15 dm^3

9.Discuss and Write You can divide by a power of 10 to rename smaller metric

units as larger metric units. Explain why, when renaming 3.21 millimeters

as meters, dividing by 1000 results in the same answer as multiplying

by 0.001.

?

?

?

?

?

?

You can also use a shortcut to rename metric units.

Move the decimal point the same number of places

and in the same direction as the places between the

given unit and the new unit on the metric units chart.

In science, some metric units are related to one another when measuring water.

• A cube that measures 1 centimeter
  along each edge has a volume of
  1 cubic centimeter (1 cm^3 ).

The cube will hold 1 milliliter of

water, which has a mass of 1 gram.

• A cube that measures 1 decimeter
  along each edge has a volume of
  1 cubic decimeter (1 dm^3 ).

The cube will hold 1 liter of water,

which has a mass of 1 kilogram.

1000 cm^3 1 dm^3

1 dm^3 1 dm • 1 dm • 1 dm

1 cm^3 1 cm • 1 cm • 1 cm

5.8 hm  dm

5.8 hm 5.800. 5800 dm

1? 73.6 mm  dam

73.6 mm 0.0073.6 0.00736 dam

2?

Think

millimeters to dekameters

Move 4 places to the left.

Think

hectometers to decimeters

Move 3 places to the right.

Remember:

To multiply by a power of 10, move

the decimal point to the right.

To divide by a power of 10, move

the decimal point to the left.

1 cm^3 1 mL 1 g

1 dm^3 1 L 1 kg