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Notes 2.2: Working with Measurements day 1 Decimal System: (the metric system) is a decimal system in which your can convert measurements by multiplying or dividing by powers of 10.
Notes 2.2: Working with Measurements
day 1
Decimal System:
(the metric system) is a decimal system in which your can convert measurements by multiplying or dividing by powers of 10.
KING HENRY DOESN'T (USUALLY) DRINK CHOCOLATE MILK
KILO HECTO DEKA UNIT DECI CENTI MILLI
THOUSANDS
HUNDREDS
TENS BASE TENTHS HUNDREDTHS
THOUSANDTHS
1 Km = 1000M
1 hm = 100m
1 dam = 10m
1 m 1 dm = 0.1m
1 cm = 0.01m
1 mm = 0.001m
1 Kg = 1000g
1 hg = 100g 1 dag = 10g 1 g 1 dg = 0.1g 1 cg = 0.01g
1mg = 0.001g
1 kL = 1000L
1 hL = 100L 1 daL = 10L 1 L 1 dL = 0.1L 1 cL = 0.01 L
1 mL = 0.001L
●To convert from a larger unit to a smaller unit, MULTIPLY(move the decimal point to the right).●To convert from a smaller unit to a larger unit, DIVIDE(move the decimal point to the left).
CONVERSIONS:
Example 1: Complete
A) 10 km = ____________ cm
B) 40 m = _____________km
C) 14 m = _____________mm
D) 3500 mm = _________m
Use your remote to answer question D.
Example 1: Complete
A) 10 km = 1,000,000 cm
B) 40 m = 0.040 km
C) 14 m =14,000 mm
D) 3500 mm = 3.5 m
Example 2: Perform the following conversions
A) Change ft to inches.
B) Change 29 quarts to gallons.
C) Change yd to inches.
D) Change 24 oz to pounds.
But let's look at each problem separately!
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4
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3
Change ft to inches.● What do we do?● Multiply by 12● Why?● There are 12 inches in 1 foot.● We are moving from a larger unit to a smaller
unit.● Answer?● 9 inches
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4
Change 29 quarts to gallons.
●Divide by 4●There are 4 quarts in 1 gallon.●We are moving from a smaller unit to a larger unit.●7 gallons with a remainder of 1, so...●7 gallons 1 quart
Change yd to inches.
● Multiply by 36
● Why?
● There are 36 inches in 1 yd.
● Are we moving from a smaller unit to a larger unit?
● No, we are moving from a larger unit to a smaller unit.
● Answer?
● 24 inches
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3
Change 24 oz to pounds
● Divide by 24● Why? ● There are 16 ounces in a pound.● Answer? ● 1 lbs 8 oz
Challenge: Ramona has a dress pattern that calls for 7 yd of lace. She already has ft of lace. How much lace does she need to buy?
7 yd to feet =
7 X 3 = 21 feet
21 – 4 = 17 ft
17 3 5 2witha remainder of
5 yd 2 ft
Just some extra facts…
Jack the Builder needs help with his measurements!
