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Test your basic knowledge |
CLEP General Mathematics: Unit Conversion
Start Test
Study First
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. gram
Multiply the number of fluid ounces by 29.57
(d) 0.1 (tenth)
G 1
Convert the mixed fractions to improper fractions. Add the resulting fractions.
2. 1 pound (lb)
Multiply the number of fluid ounces by 29.57
16 ounces (oz)
Hm 10^2 or 100 or 100/1
G 1
3. To convert feet to meters
Dl 10^-1 or 0.10 or 1/10
12 in.
Are not significant
Divide the number of feet by 3.28
4. centi
Are always significant
Multiply
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
(c) 0.01 (hundredth)
5. Digits from 1-9
T 10^6 or 1 -000 -000 or 1 -000 -000/1
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
Milligram (1/1000th of a gram)
Are always significant
6. milliliter
Cm 10^-2 or 0.01 or 1/100
Ml 10^-3 or 0.001 or 1/1 -000
Decimeter
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
7. Big unit to Small unit
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
60 seconds (sec)
Sixteenths - 1/16 + 15/16 = 1 in.
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
8. Convert 3 gallons to quarts.
60 minutes (min)
Milligram (1/1000th of a gram)
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
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
9. The approximate number of weeks in a year is
Sixteenths - 1/16 + 15/16 = 1 in.
Kl 10^3 or 1 -000 or 1 -000/1
52
You can add fractions only when they have
10. < into >
Division
Fluid ounces and milliliters - Gallons and liters
Hl 10^2 or 100 or 100/1
1 gal = 3.79 L
11. The same denominator
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.
12 months (mo)
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Dg 10^-1 or 0.10 or 1/10
12. milligram
Multiply the number of ounces by 28.35
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
Mg 10^-3 or 0.001 or 1/1 -000
Sixteenths - 1/16 + 15/16 = 1 in.
13. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
Move the redix the the right by number of 0's
Multiply the number of fluid ounces by 29.57
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
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
14. 1 quart (qt)
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
Meter
24 hours (hr)
2 pints (p)
15. The next-smaller unit from the meter is the
Centimeter
10 meters.
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.
29.57 mL
16. 1 cup (c)
8 fluid ounces (fl. oz)
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
#ft. * 12 in./1 ft. = #(12) in.
17. To convert grams to ounces
Multiply the number of grams by 0.035.
1 fl. oz = 29.57 mL
Are always significant
(m) 0.001 (thousandth)
18. To convert miles to kilometers
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
Dal 10^1 or 10 or 10/1
Multiply the number of miles by 1.61
Division
19. Zeros used solely for spacing the decimal point (placeholders)
Dam 10^1 or 10 or 10/1
4 cups (c)
Are not significant
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.
20. How did you know which units went on top and which went underneath?
21. To add fractions that do not have a common denominator
Dg 10^-1 or 0.10 or 1/10
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.
1 m = 3.28 ft
Dag 10^1 or 10 or 10/1
22. milligram
60 seconds (sec)
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
(1/1000th of a gram)
3.28 ft
23. decigram
Multiply
Are always significant
Dg 10^-1 or 0.10 or 1/10
Cm 10^-2 or 0.01 or 1/100
24. deci
Division
Are always significant
60 minutes (min)
(d) 0.1 (tenth)
25. A centimeter is
1/10th of a meter.
Decimeter
Division
3.28 ft
26. To convert meters to feet
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
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
Move the redix to the left as many 0's as being multiplied by
27. kilogram
Cm 10^-2 or 0.01 or 1/100
Kg 10^3 or 1 -000 or 1 -000/1
Multiply
28. To subtract fractions that have a common denominator
366 da
1 mi = 1.61 km
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
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.
29. To convert inches to centimeters
Multiply the number of inches by 2.54
12 in.
Liter
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
30. kiloliter
Dam 10^1 or 10 or 10/1
Multiply the number of grams by 0.035.
Kl 10^3 or 1 -000 or 1 -000/1
1 mi = 1.61 km
31. 1 ton (T)
2000 pounds (lb)
Hl 10^2 or 100 or 100/1
Divide the number of liters by 3.79
4 cups (c)
32. 1 week (wk)
3.79 L
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
(d) 0.1 (tenth)
7 days (da)
33. The number of days in a month varies between
Dl 10^-1 or 0.10 or 1/10
28 and 31
Divide the number of liters by 3.79
Multiply the number of kilograms 2.2
34. To add mixed fractions
Multiply the number of grams by 0.035.
Convert the mixed fractions to improper fractions. Add the resulting fractions.
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
1 in = 2.54 cm
35. dekaliter
G 1
60 seconds (sec)
7 days (da)
Dal 10^1 or 10 or 10/1
36. 1 day (da)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
You can add fractions only when they have
24 hours (hr)
Multiply the number of pounds by 0.4536
37. Subtracting Fractions
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
Divide the number of liters by 3.79
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.
Are not significant
38. millimeter
Mm 10^-3 or 0.001 or 1/1 -000
Are significant
12 in.
2 pints (p)
39. Converting bigger unit to smaller unit
2000 pounds (lb)
Gram (g)
Multiply
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
40. dekagram
Dag 10^1 or 10 or 10/1
Hl 10^2 or 100 or 100/1
(da) 10 (ten)
1 mi = 1.61 km
41. Converting smaller units into larger unit
Fluid ounces and milliliters - Gallons and liters
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.
Divide
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
42. To convert liters to gallons
3.28 ft
1 gal = 3.79 L
Divide the number of liters by 3.79
3.79 L
43. Converting smaller units into bigger units is going to bigger units and means going to smaller numbers. Like Converting 7 -920 yards to miles!
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
4 cups (c)
Kilogram (1000 grams)
44. micrometer
(k) 1 -000 (thousand)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
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.
45. To convert kilograms to pounds
Dg 10^-1 or 0.10 or 1/10
Yous Set up by Expressing the Mixed Fractions of Younch as adding fractions like 1/16 in + 3/8 in = - Adjust for common denominators and Complete the addition. Simplify solution.
Multiply the number of kilograms 2.2
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
46. The basic metric unit for mass (or weight) is the
4 cups (c)
Gram (g)
Mm 10^-3 or 0.001 or 1/1 -000
47. liter
Meter
1 gal = 3.79 L
1
Kg 10^3 or 1 -000 or 1 -000/1
48. 1 m
Move the redix to the left as many 0's as being multiplied by
1 fl. oz = 29.57 mL
(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'.
3.28 ft
49. 1 hour (hr)
60 minutes (min)
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
Dl 10^-1 or 0.10 or 1/10
Are always significant
50. centimeter
Multiply the number of miles by 1.61
10 meters.
Are significant
Cm 10^-2 or 0.01 or 1/100