friday, october 23, 2015. unit multipliers/dimensional analysis (saxon) (glencoe) converting units...
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Thursday, April 20, 2023
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Unit Multipliers/Dimensional Analysis(Saxon) (Glencoe)
Converting units by using using unit multipliers (which is
dimensional analysis)
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Compute mentally:
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What are units?
Units-- the words we attach to numbers.
Examples: 3 feet 10 inches 5 meters
Denominate number -- the number
Units -- the word
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What are units?
Write the units on your white board.
4 yards
8 miles per hour
5,280 feet
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U.S. Customary System
The basic units of measure we use for length are related in the following ways:
12 inches = 1 foot3 feet = 1 yard
5,280 feet = 1 mile
You should memorize these!
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U.S. Customary System
The basic units of measure we use for weight are related in the following ways:
16 ounces = 1 pound
2,000 pounds = 1 ton
You should memorize these!
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What happens if you multiply something by a fraction that equals 1?
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What would number would make each fraction equal to 1?
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Unit Multipliers
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Unit Multipliers can be written two ways.
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Using Unit Multipliers
•
Unit multiplier
•
Unit multiplier
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5 ft 12 in 1 1 ftNotice that the units “ft” cancel.
Yes, you can think this through without a unit multiplier. “I know there are 12 inches in every foot, so if I have 5 feet I will have 5 times 12 inches.
However, for this assignment, USE unit multipliers.And…SHOW YOUR WORK!!!!!!!!!!!!
• = 60 inches
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Another example:
•
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•
•
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What if?
What if we had used the unit multiplier with yards on the bottom?
420 ft 3 ft
1 1 yd • = 1260 ft • ft
1 yd
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Your Turn on the White BoardUse a unit multiplier to convert 72 inches
to feet.
Answer: 6 ft
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Your Turn on the White BoardUse a unit multiplier to convert 4.6 miles to feet.
Answer: 24,288 ft
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Your Turn on the White BoardUse a unit multiplier to convert 4 tons to pounds.
Answer: 8000 lb
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Classwork Time
• Show your work with unit multipliers even if you can convert these in your head.
x
What you have
(number and units)
Units you have
Units you desire
1