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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is an exercise supplement for the chapter "Measurement and Geometry" and contains many exercise problems. Odd problems are accompanied by solutions.

Exercise supplement

Measurement and the united states system ( [link] )

What is measurement?

Measurement is comparison to a standard (unit of measure).

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For problems 2-6, make each conversion. Use the conversion table given in Section 9.1.

For problems 7-23, make each conversion.

2 1 2 size 12{2 { {1} over {2} } } {} mi to yd

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8 in. to ft

2 3 = 0 . 66 6 ¯   feet size 12{ { {2} over {3} } =0 "." "66" {overline {6}} " feet"} {}

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5 cups to tbsp

80 tablespoons

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3 1 2 size 12{3 { {1} over {2} } } {} min to sec

210 seconds

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3 4 size 12{ { {3} over {4} } } {} wk to min

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The metric system of measurement ( [link] )

250 mL to L

1 4 = 0 . 25 size 12{ { {1} over {4} } =0 "." "25"} {} L

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0.01961 kg to mg

19,610 mg

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54.006 dag to g

540.06 g

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3.5 kL to mL

3,500,000 mL

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Simplification of denominate numbers ( [link] )

For problems 24-31, perform the indicated operations. Simplify, if possible.

Add 8 min 50 sec to 5 min 25 sec.

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Add 3 wk 3 da to 2 wk 5 da

6 weeks 1 day

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Subtract 4 gal 3 qt from 5 gal 2 qt.

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Subtract 2 gal 3 qt 1pt from 8 gal 2 qt.

5 gallons 2 quarts 1 pint

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Subtract 5 wk 4 da 21 hr from 12 wk 3 da 14 hr.

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Subtract 2 T 1,850 lb from 10 T 1,700 lb.

7 T 1,850 pounds

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Subtract the sum of 2 wk 3 da 15 hr and 5 wk 2 da 9 hr from 10 wk.

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Subtract the sum of 20 hr 15 min and 18 hr 18 min from the sum of 8 da 1 hr 16 min 5 sec.

7 days, 11 hours, 56 minutes, 7 seconds

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For problems 32-43, simplify, if necessary.

3,100 lb

1 ton 1,100 pounds

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4 tsp

1 tablespoon 1 teaspoon

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Perimeter, circumference, area and volume of geometric figures and objects ( [link] , [link] )

For problems 44-58, find the perimeter, circumference, area or volume.

Approximate circumference
A circle. The circle's diameter is 1.8cm.

5.652 sq cm

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Approximate volume
A cylinder. The cylinder's radius is 3.8ft, and its height is 2.3ft.

104.28568 cu ft

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Exact area
A half-circle with radius 0.6in.

0.18 π sq in.

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Approximate volume
A sphere with radius 8mm.

267.94667 cu mm

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Approximate area
A rectangle with a half-circle cut out of it. The rectangle's width, which is also the diameter of the half-circular cutout, is 12in. The rectangle's height is 8in.

39.48 sq in.

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Approximate area
A tubelike shape formed in a half-circle. The inner circle portion's radius is 8ft. The thickness of the tube is 2ft.

56.52 sq ft

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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