MAT 150 Unit 17

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MAT 150 Unit 17

• Ch 2 5
• US Customary Measures

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Section 2 5 US Customary Measures

• Length
• Inch -gt Foot -gt Yard -gt Mile
• Weight/Mass
• Ounce -gt Pound -gt Ton
• Capacity/Volume
• Ounce -gt Cup -gt Pint -gt Quart -gt Gallon

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Section 2 5 US Customary Measures

• Converting from one unit of measure to another
  use a Unity Ratio, that is, a ratio of one
  measure to another.
• Example
• To convert ounces to pounds we could use the
  unity ratio of 1 lb. or 16 oz.
• 16 oz. 1 lb.
• How many oz. in 4 lbs.? Multiply 4 lbs. By the
  unity ratio 16 oz./1 lb.
• 4 lbs. 16 oz. 4(16 oz)
  64 oz.
• 1 1 lb.

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Section 2 5 US Customary Measures

• US Customary Measure Tables are found in your
  text in tables 2 1 on page 101, 2 2 and 2 3
  on p. 102.
• Ex. 1 How many pints in 4.5 quarts?
• 4.5 qts. X 2 pts. 9 pts.
• 1 1 qt.
• Ex. 2 How many inches in 2 1/3 yards?
• 2 1/3 yds. X 3 ft. X 12 in. 84 in.
• 1 1 yd. 1 ft.

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Section 2 5 Adding and Subtracting US
Customary Measures

• Must add LIKE quantities
• (similar to like terms)
• Sums and differences must be in STANDARD
  NOTATION, that is, expanded to the largest unit.
• Example 8 lb. 20 oz. 20 oz is bigger than
  1 lb.
• 1 lb.- 16 oz.
• 9 lb. 4 oz.

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Section 2 5 Adding and Subtracting US
Customary Measures

• Ex. 1 3 ft. 2 in. Must convert to LIKE
  units
• 36 in. 2 in. 38 in.
• or
• 3 ft. 2/12 ft. 3 1/6 ft.
• Ex. 2 7 ft. 4 in.
• - 5 ft. 9 in. Need to borrow 12
  in from 7 ft.
• 6 ft. 16 in. 4 in. 12 in. 16
  in.
• 7 ft. 4 in.
• - 5 ft. 9 in.
• 1 ft. 7 in.

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Section 2 5 Multiplying and Dividing US
Customary Measures

• Multiply Example A tank holds 21 gal. 3 qts. of
  weed killer. How much weed killer is needed to
  fill 8 tanks?
• 21 gal 3 qts.
• X 8
• 168 gal. 24 qts. 24 qts. is larger than a gal.
  so 24 qts X 1 gal
• 
  1
  4 qts
• 168 gal. 6 gal. 174 gal.

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Section 2 5 Multiplying and Dividing US
Customary Measures

• Dividing Example 5 gal. 3 qts. 1 pt. divided by
  3
• 1 gal. 3 qts. 1 2/3 pt.
• 3 5 gal. 3 qts. 1 pt. do like long division
• -3 gal divide 3 into 5
• 2 gal. 8 qts. convert remainder to
  qts.
• 3 qts. bring down 3qts
  and add to 8qts
• 11 qts divide 3 into
  11qts
• - 9 qts.
• 2 qts. 4 pts. convert
  remainder to pts.
• 1 pt. bring down
  4pts and add to 1pt
• 5 pts. divide 3
  into 5pts
• -3 pts.
• 2 express
  as fraction 2/3