CLEP General Mathematics: Unit Conversion

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. Subtracting Fractions
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.
Digits from 1-9 are always significant. Zeros between two other significant digits are always significant - Zeros to the right of both the decimal place and another significant digit are significant. Zeros used solely for spacing the decimal point (p
1.61 km
T 10^6 or 1 -000 -000 or 1 -000 -000/1


2. hectometer
M 1
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
52
Hm 10^2 or 100 or 100/1


3. Adding Proper Fractions That Do Not Have a Common Denominator
You probably don't know the conversion factor for millimeters to inches - but you do know the conversion factor for centimeters to inches - 1 in = 2.54 cm. All you need to do is (1) convert the millimeters to centimeters (you know that conversion fac
Sixteenths - 1/16 + 15/16 = 1 in.
7 days (da)
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.


4. milligram
(1/1000th of a gram)
Cl 10^-2 or 0.01 or 1/100
Sixteenths - 1/16 + 15/16 = 1 in.
Kg 10^3 or 1 -000 or 1 -000/1


5. To subtract fractions that do not have a common denominator
Milligram (1/1000th of a gram)
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
Meter


6. deciliter
Centimeter
Dl 10^-1 or 0.10 or 1/10
Are significant



7. decimeter
Cl 10^-2 or 0.01 or 1/100
(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'.
16 ounces (oz)
Dm 10^-1 or 0.1 or 1/10


8. Metric Measures of Mass and Weight
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).
You probably don't know the conversion factor for millimeters to inches - but you do know the conversion factor for centimeters to inches - 1 in = 2.54 cm. All you need to do is (1) convert the millimeters to centimeters (you know that conversion fac

The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)


9. The approximate number of weeks in a year is
52
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
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
1


10. liter
Mg 10^-3 or 0.001 or 1/1 -000
4 quarts (qt)
1
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.


11. 1 yd.
3 ft.
Dam 10^1 or 10 or 10/1
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
Hm 10^2 or 100 or 100/1


12. ft. to in.
1 gal = 3.79 L
#ft. * 12 in./1 ft. = #(12) in.
Younches and centimeters - Feet and meters - Miles and kilometers
52


13. 1 cup (c)
8 fluid ounces (fl. oz)
(d) 0.1 (tenth)
'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
2 pints (p)


14. To convert centimeters to inches
28 and 31
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Divide the number of centimeters by 2.54


15. To convert pounds to kilograms
Hl 10^2 or 100 or 100/1
Multiply the number of pounds by 0.4536
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
Kg 10^3 or 1 -000 or 1 -000/1


16. 1 ton (T)
Are always significant
2000 pounds (lb)
10 meters.
2.54 cm


17. 1 pint (pt)
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
3.28 ft
2 cups (c)
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.


18. How did you know which units went on top and which went underneath?

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19. Gallons and Liters
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.
Multiply the number of fluid ounces by 29.57
1 gal = 3.79 L
Divide the number of liters by 3.79


20. The number of days in a month varies between
16 ounces (oz)
Hm 10^2 or 100 or 100/1
28 and 31
Are always significant


21. 80 miles/hr to Meters/second

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22. To convert milliliters to fluid ounces
Km 10^3 or 1 -000 or 1 -000/1

Are always significant
Divide the number of milliliters by 29.57


23. 1 fl. oz
29.57 mL
2 cups (c)
(d) 0.1 (tenth)
(k) 1 -000 (thousand)


24. 1 year (yr)
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
3 ft.
(d) 0.1 (tenth)
365 days (da)*


25. To add mixed fractions
Division
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Dl 10^-1 or 0.10 or 1/10
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


26. 1 ft.
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
60 seconds (sec)
12 in.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.


27. Zeros to the right of both the decimal place and another significant digit
Are significant
Gram (g)
2 pints (p)
Dag 10^1 or 10 or 10/1


28. hecto
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Dam 10^1 or 10 or 10/1
24 hours (hr)
(h) 100 (hundred)


29. To convert some number of millimeters to inches

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30. 1 gal
366 da
3.79 L
Divide the number of kilometers by 1.61
Ml 10^-3 or 0.001 or 1/1 -000


31. A decimeter
10 meters.
Hg 10^2 or 100 or 100/1
1/10th of a meter.
Divide the number of liters by 3.79


32. 1 in
Convert the mixed fractions to improper fractions. Add the resulting fractions.
2.54 cm
4 quarts (qt)
4 cups (c)


33. 1 gallon (gal.)
29.57 mL
Mm 10^-3 or 0.001 or 1/1 -000
4 quarts (qt)
For these sorts of conversion - we use as many conversion factors as we need - setting up a long multiplication so the units we don't want cancel out.


34. Converting smaller units into larger unit
Milligram (1/1000th of a gram)
1 mi = 1.61 km
Divide
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant


35. Feet and Meters
(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'.
Multiply the number of ounces by 28.35
1 m = 3.28 ft
16 ounces (oz)


36. Metric Measures of Capacity
Divide the number of liters by 3.79
4 cups (c)
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
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.


37. To add fractions that have a common - or same - denominator
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
Mg 10^-3 or 0.001 or 1/1 -000
Divide
Divide the number of feet by 3.28


38. To convert feet to meters
You can add fractions only when they have
Divide the number of feet by 3.28
G 1
29.57 mL


39. Digits from 1-9
1 in = 2.54 cm
Are always significant
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
Digits from 1-9 are always significant. Zeros between two other significant digits are always significant - Zeros to the right of both the decimal place and another significant digit are significant. Zeros used solely for spacing the decimal point (p


40. millimeter
Multiply the number of pounds by 0.4536
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.
Multiply the number of gallons by 3.79
Mm 10^-3 or 0.001 or 1/1 -000


41. milli
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
(m) 0.001 (thousandth)
2 pints (p)
Dl 10^-1 or 0.10 or 1/10


42. The most common capacity conversions are between...
Ml 10^-3 or 0.001 or 1/1 -000
Centimeter
Fluid ounces and milliliters - Gallons and liters
12 months (mo)


43. deci
(d) 0.1 (tenth)
Move the redix the the right by number of 0's
Multiply the number of ounces by 28.35
Are always significant


44. milligram
Mg 10^-3 or 0.001 or 1/1 -000
Dam 10^1 or 10 or 10/1
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.
2 cups (c)


45. 1 quart (qt)
5280 ft.
You can add fractions only when they have
Multiply the number of inches by 2.54
4 cups (c)


46. The same denominator
Decimeter
Multiply
Divide the number of milliliters by 29.57
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have


47. The basic metric unit of length is the
Ml 10^-3 or 0.001 or 1/1 -000
Meter
Mg 10^-3 or 0.001 or 1/1 -000
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.


48. Small units to Big unit
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Multiply the number of ounces by 28.35
4 cups (c)
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #


49. Cancelling units

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50. Multiplying Metric Units

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