Fractions and Decimals

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Transcript Fractions and Decimals

Lesson 1

Measurement

Complete each conversion.

1.

2.

1 foot = _____ inches 1 yard = _____ feet 3.

4.

5.

6.

7.

8.

1 meter = _____ centimeters 1 kilometer = _____ meters 1 day = _____ hours 1 minute = _____ seconds 1 pound = _____ ounces 1 gallon = _____ quarts

Target: Convert customary and metric measurements.

 Conversion: The process of renaming a measurement using different units.

Determine the unit of measurement you should use in each situation.

a. dimensions of a room in your house  feet b. time until school is over  hours or minutes c. distance from home to your nearest mall  miles or kilometers

Determine the unit of measurement you should use in each situation.

d. amount of milk to buy for a family at the store  gallons or quarts e. angle to cut flooring in a bathroom  degrees

Choose a reasonable estimate. Explain each choice.

a. length of a pen: 10

cm

or 10

m

 10

cm.

One meter is about the length of a yard stick.

b. distance to school on a bus: 20

m

or 20

km

 20

km.

You would not ride the bus 20

m

(that’s about 60 feet)

.

c. amount of juice in a juice box: 1 pint or 1 gallon  1 pint. A gallon of juice is much to large.

 When converting from a larger unit to a smaller unit,

MULTIPLY ( × )

.

 When converting from a smaller unit to a larger unit,

DIVIDE ( ÷ )

.

Complete each conversion.

a. 4 yards = ___ feet    Find the conversion factor. 1 yard = 3 feet Yards are larger units, multiply. 4(3) = 12 4 yards = 12 feet b. 48 ounces = ___ pounds    Find the conversion factor. 1 pound = 16 ounces Ounces are smaller units, divide. 48 ÷ 16 = 3 48 ounces = 3 pounds

Complete each conversion.

c. 3 hours = ___ minutes  Find the conversion factor. 1 hour = 60 minutes  Hours are larger units, multiply. 3(60) = 180  3 hours = 180 minutes

Convert 4 kilometers to centimeters.

       First convert 4

km

to meters, then to centimeters.

Find the conversion factor for

km

to

m

: 1 kilometer = 1000 meters Kilometers are larger units, multiply. 4(1000) = 4000 4 kilometers = 4,000 meters Find the conversion factor for

m

to

cm

: 1 meter = 100 centimeters Meters are larger units, multiply. 4000(100) = 400,000 4 kilometers = 400,000 centimeters

The second highest waterfall in Oregon is Salt Creek Falls in the Cascade Mountain Range. It is 286 feet tall. Find its height in: a. inches. b. yards.

  a. Find the conversion factor. 1 foot = 12 inches Feet are larger units, multiply. 286(12) = 3432 Salt Creek Falls is 3,432 inches tall.

  b. Find the conversion factor. 1 yard = 3 feet Feet are smaller units, divide. 286 ÷ 3 ≈ 95.3

Salt Creek Falls is about 95.3 yards tall.

Complete each conversion:

1.

40 meters = _____ centimeters 2.

120 minutes = _____ hours 3.

4 tons = _____ pounds

What is a real-world situation where you would need to convert measurements?