Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on...
-
Upload
marilynn-paul -
Category
Documents
-
view
212 -
download
0
Transcript of Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on...
![Page 1: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/1.jpg)
Imperial Conversions
Ch. 3 Measurement
![Page 2: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/2.jpg)
The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.
A referent is a known measure used for comparing and estimating.
![Page 3: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/3.jpg)
When measuring length with the imperial system, the following units are used:
Inch (in. or “)
Foot (ft or ‘) 12 inches = 1 foot
Yard (yd) 3 feet = 1 yard
Mile (mi) 1760 yards = 1 mile
![Page 4: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/4.jpg)
The following chart may be helpful when converting between Imperial units:
![Page 5: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/5.jpg)
Ex1. Taylor is buying fabric for her graduation dress. Her dress pattern is in inches, but the fabric store only sells in yards. How many inches are there in one yard?
We HAVE yards we WANT inches
Use the conversion chart to move from yards to inches:
1 yard x 3 x 12 = 36 inchesfeet
yard
inches
foot
![Page 6: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/6.jpg)
Ex2. Russell wants to determine how far away the cafeteria is from Mrs. Lin’s classroom in miles. He counts 1584 feet from the classroom to the cafeteria doors. How far is it in miles?
We HAVE feet we WANT miles
Use the conversion chart to move from feet to miles:
1584 feet 3 1760 = 0.3 miles
![Page 7: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/7.jpg)
Sometimes measurements will include feet and inches. If we want to convert to one unit only (either feet or inches) we must change one of the measurements to the desired unit.
![Page 8: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/8.jpg)
Ex3. Tristan is 5’11” tall. How tall is Tristan in inches? We know that 5’ = 5 feet and 11” = 11
inches. We WANT inches so we must convert 5 feet into inches first.
5 feet x 12 = 60 inches
We can now add the 11 inches to determine Tristan’s height in inches.
60 inches + 11 inches = 71 inches total
![Page 9: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/9.jpg)
We also have to consider that inches are divided into 16 parts.
This means we will also have to occasionally add, subtract, and multiply fractions when working with the Imperial system of measurement.
![Page 10: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/10.jpg)
Ex4. Janet wants to build steps up to her porch. There will be six steps, with each step measuring 7 inches high. What will the height of the staircase be in feet and inches?
First we will consider the whole number inches.
7 inches x 6 steps = 42 inches
Next, we will consider the fraction of inches.
*Remember, when MULTIPLYING fractions, we multiply the numerators together, and the denominators together. We then change the fraction to a decimal or a reduced fraction.
x 6 = = 1.5 inch or 1 inches1
46
41
2
![Page 11: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/11.jpg)
Now, combine the two measurements:
42 inches + 1.5 inches = 43.5 inches
Next, we will convert to feet
43.5 inches 12 = 3 feet with a remainder of 0.625
![Page 12: Imperial Conversions Ch. 3 Measurement. The Imperial system was developed in ancient Rome based on referents from the human body and everyday activities.](https://reader036.fdocuments.in/reader036/viewer/2022072010/56649db35503460f94aa2f46/html5/thumbnails/12.jpg)
The very last step is to convert the remainder BACK to inches.
0.625 x 12 = 7.5 inches OR 7 inches
The height of the stairs is 3’7 ”
1
2
1
2