View
218
Download
0
Category
Preview:
Citation preview
Thursday, April 20, 2023
Unit Multipliers/Dimensional Analysis(Saxon) (Glencoe)
Converting units by using using unit multipliers (which is
dimensional analysis)
Compute mentally:
What are units?
Units-- the words we attach to numbers.
Examples: 3 feet 10 inches 5 meters
Denominate number -- the number
Units -- the word
What are units?
Write the units on your white board.
4 yards
8 miles per hour
5,280 feet
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!
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!
What happens if you multiply something by a fraction that equals 1?
What would number would make each fraction equal to 1?
Unit Multipliers
Unit Multipliers can be written two ways.
Using Unit Multipliers
•
Unit multiplier
•
Unit multiplier
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
Another example:
•
•
•
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
Your Turn on the White BoardUse a unit multiplier to convert 72 inches
to feet.
Answer: 6 ft
Your Turn on the White BoardUse a unit multiplier to convert 4.6 miles to feet.
Answer: 24,288 ft
Your Turn on the White BoardUse a unit multiplier to convert 4 tons to pounds.
Answer: 8000 lb
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
Recommended