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CLEP General Mathematics: Unit Conversion

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. 80 miles/hr to Meters/second

2. What is the difference between weight and mass?
M 1
Cg 10^-2 or 0.01 or 1/100
A body has weight only when it is in a force field
Move the redix to the left as many 0's as being multiplied by

3. 1 quart (qt)
4 cups (c)
2 pints (p)
Multiply the number of ounces by 28.35
(m) 0.001 (thousandth)

4. The U.S. Customary System
Mg 10^-3 or 0.001 or 1/1 -000
(1/1000th of a gram)
System of measurement based on units of measure such as ounces - pounds - inches - and feet. Today - America is the only significant economic power in the world that uses it.
M 1

5. To add mixed fractions
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Are always significant
Convert the mixed fractions to improper fractions. Add the resulting fractions.
1 mi = 1.61 km

6. Metric Measures of Mass and Weight
Dg 10^-1 or 0.10 or 1/10
Start with the given measurement - write it down complete with its units stepping up or down to the target conversion - then put the one conversion ratio under it in line - so that whichever units you don't want will eventually canceled out - make su
3 ft.
The basic metric unit for mass (or weight) is the gram (g). The most common unit that is smaller than a gram is the milligram (1/1000th of a gram). The most common larger unit of mass is the kilogram (1000 grams).

7. 1 cup (c)
Dl 10^-1 or 0.10 or 1/10
1 m = 3.28 ft
8 fluid ounces (fl. oz)
Multiply the number of fluid ounces by 29.57

8. Zeros to the right of both the decimal place and another significant digit
Are significant
Sixteenths - 1/16 + 15/16 = 1 in.
Gram (g)
Divide the number of feet by 3.28

9. Miles and Kilometers
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
Divide the smaller number by the number of smaller units that fit into the bigger unit. Miles are bigger than yards; there are 1 -760 yards in every mile. Since You are converting from a smaller unit (yards) to a bigger unit (miles) - your answer nee
1 mi = 1.61 km
Centimeter

10. Cancelling units

11. To convert meters to feet
Are always significant
Divide the number of feet by 3.28
28 and 31
Multiply the number of meters by 3.28

12. Multiplying Metric Units

13. liter
M 1
Are always significant
1
G 1

14. kilometer
60 minutes (min)

Km 10^3 or 1 -000 or 1 -000/1
(k) 1 -000 (thousand)

15. To convert ounces to grams
Hm 10^2 or 100 or 100/1
2 cups (c)
Multiply the number of ounces by 28.35
29.57 mL

16. US Customary units of length
1.61 km
Cm 10^-2 or 0.01 or 1/100
Not always tidy. Not always expressed in decimal form. There is a trend toward using decimal values for US Customary units - but we have to know how to deal with both forms.
12 in.

17. kilogram
Kg 10^3 or 1 -000 or 1 -000/1
'hours' started out underneath. You want 'hours' to cancel off - so the conversion factor for hours and minutes needed to have 'hours' on top. That meant that '60 mins' had to be underneath. And that dictated the orientation of the next factor: Since
Decimeter
Are significant

18. To convert feet to meters
(k) 1 -000 (thousand)
'hours' started out underneath. You want 'hours' to cancel off - so the conversion factor for hours and minutes needed to have 'hours' on top. That meant that '60 mins' had to be underneath. And that dictated the orientation of the next factor: Since
Divide the number of feet by 3.28
Find the LCD for the fractions Expand the fractions to have the common denominator. Subtract the numerators to get the numerator for the difference. Assign the common denominator to the difference.

19. To convert kilometers to miles
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
2000 pounds (lb)
Divide the number of kilometers by 1.61
(also known as 'unit analysis' or 'dimensional analysis') is based on the principal that multiplying something by '1' doesn't change the value - and that any value divided by the same value equals '1'.

20. Feet and Meters
1 m = 3.28 ft
(1/1000th of a gram)
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
60 minutes (min)

21. 1 gallon (gal.)
(h) 100 (hundred)
Not always tidy. Not always expressed in decimal form. There is a trend toward using decimal values for US Customary units - but we have to know how to deal with both forms.
Divide
4 quarts (qt)

22. To convert pounds to kilograms
(m) 0.001 (thousandth)
Like most money systems - are based on multiples of 10. Each unit is either 10 times greater than the next-smaller amount - or it is 1/10th the size of the next-larger amount. And since the metric system is based on 10s - it works quite naturally wit
Cg 10^-2 or 0.01 or 1/100
Multiply the number of pounds by 0.4536

23. 1 mi
Centimeter
Are significant
1.61 km
Hg 10^2 or 100 or 100/1

24. To convert fluid ounces to milliliters
Mg 10^-3 or 0.001 or 1/1 -000
28 and 31
29.57 mL
Multiply the number of fluid ounces by 29.57

25. Subtracting Fractions
Quarts are smaller than gallons; every gallon has four quarts. Since You are converting from a larger unit (gallons) to a smaller unit (quarts) - your answer needs to be a bigger number. So You multiply: (3)(4) = 12
2.54 cm
The basic unit of metric capacity is the liter (pronounced as LEE-ter). Smaller units are the milliliter (1/1000 of a liter) and the microliter (1-millionth of a liter). A kiloliter is a thousand liters - but we seldom find that unit used anywhere. A
Find the LCD for the fractions Expand the fractions to have the common denominator. Subtract the numerators to get the numerator for the difference. Assign the common denominator to the difference.

26. millimeter
Are significant
28 and 31
Mm 10^-3 or 0.001 or 1/1 -000
Are not significant

27. Small units to Big unit
Divide
Fluid ounces and milliliters - Gallons and liters
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Division

28. To convert some number of millimeters to inches

29. microgram

1
Multiply the number of fluid ounces by 29.57
G 1

30. kiloliter
28 and 31
Kl 10^3 or 1 -000 or 1 -000/1
Km 10^3 or 1 -000 or 1 -000/1
Multiply the number of pounds by 0.4536

31. Big unit to Small unit

Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
24 hours (hr)
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #

32. Fluid Ounces and Milliliters
3.28 ft
1 fl. oz = 29.57 mL
Find the LCD for the fractions Expand the fractions to have the common denominator. Subtract the numerators to get the numerator for the difference. Assign the common denominator to the difference.
Like most money systems - are based on multiples of 10. Each unit is either 10 times greater than the next-smaller amount - or it is 1/10th the size of the next-larger amount. And since the metric system is based on 10s - it works quite naturally wit

33. ft. to in.
12 in.
Divide the number of kilometers by 1.61
#ft. * 12 in./1 ft. = #(12) in.
2 cups (c)

34. dekaliter
Are always significant
Dal 10^1 or 10 or 10/1
Multiply the number of kilograms 2.2
Mg 10^-3 or 0.001 or 1/1 -000

35. 1 ton (T)
2000 pounds (lb)
Move the redix the the right by number of 0's
Working with inches is simply a practical application of fractions. Youf you know how to add - subtract - multiply - and divide mixed fractions - you already know how to handle the mathematics of inches. Also - it can be convenient to work with mixed
(h) 100 (hundred)

36. Adding Proper Fractions That Do Not Have a Common Denominator
(1/1000th of a gram)
(da) 10 (ten)
1
Fractions can be added only when they have the same denominator. When they do not - you must adjust them so that the denominators are the same.

37. deca
(da) 10 (ten)
4 quarts (qt)
Find a suitable common denominator for the fractions. Expand the fractions to have the common denominator and Add the fractions. Reduce or simplify as necessary.
Multiply the number of meters by 3.28

38. dekagram
Dag 10^1 or 10 or 10/1
(1/1000th of a gram)
you should know the conversion factors for feet and yards ( 3 ft/yd) and you should likewise know the conversion factor for feet and meters ( 3.28 ft/m). So you can convert yards to feet and then feet to meters.
Yous Set up by Expressing the Mixed Fractions of Younch as subtracting fractions like 3/8 in - 1/4 in = - Adjust for common denominators and Complete the subtraction.

39. The number of days in a month varies between

28 and 31
Multiply the number of the larger unit by the number smaller units that go into it. Quarts are smaller than gallons - every gallon has four quarts. Since You are converting from a larger unit (gallons) to a smaller unit (quarts) - your answer needs t
Hl 10^2 or 100 or 100/1

40. Dividing Metric Units

41. The Same Denominator
You can add fractions only when they have
(h) 100 (hundred)
Multiply
24 hours (hr)

42. meter
(da) 10 (ten)
Mg 10^-3 or 0.001 or 1/1 -000
M 1
Divide the smaller number by the number of smaller units that fit into the bigger unit. Miles are bigger than yards; there are 1 -760 yards in every mile. Since You are converting from a smaller unit (yards) to a bigger unit (miles) - your answer nee

43. 1 week (wk)
Mm 10^-3 or 0.001 or 1/1 -000
Like most money systems - are based on multiples of 10. Each unit is either 10 times greater than the next-smaller amount - or it is 1/10th the size of the next-larger amount. And since the metric system is based on 10s - it works quite naturally wit
Dal 10^1 or 10 or 10/1
7 days (da)

44. meter

45. metric ton
Multiply the number of gallons by 3.79
T 10^6 or 1 -000 -000 or 1 -000 -000/1
1 gal = 3.79 L
3.28 ft

46. hectoliter
1 m = 3.28 ft

Hl 10^2 or 100 or 100/1
Multiply the number of miles by 1.61

47. 1 day (da)
24 hours (hr)
4 quarts (qt)
2000 pounds (lb)
Are not significant

48. The next-smaller unit from the meter is the
Centimeter
Dam 10^1 or 10 or 10/1
Are always significant
Sixteenths - 1/16 + 15/16 = 1 in.

49. 1 pound (lb)
Dag 10^1 or 10 or 10/1
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
(da) 10 (ten)
16 ounces (oz)

50. The most common capacity conversions are between...
(1/1000th of a gram)
Fluid ounces and milliliters - Gallons and liters
52
16 ounces (oz)