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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. US Customary units of length
Hl 10^2 or 100 or 100/1
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.
Mm 10^-3 or 0.001 or 1/1 -000
24 hours (hr)
2. centiliter
Division
(m) 0.001 (thousandth)
Divide the number of feet by 3.28
Cl 10^-2 or 0.01 or 1/100
3. 1 mi
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
1.61 km
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.
Hm 10^2 or 100 or 100/1
4. > to <
Multiply
Divide the number of liters by 3.79
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.
5. To subtract fractions that have a common denominator
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
1.61 km
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.
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
6. centimeter
Cm 10^-2 or 0.01 or 1/100
2 cups (c)
Centimeter
(d) 0.1 (tenth)
7. 1 week (wk)
Fluid ounces and milliliters - Gallons and liters
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
7 days (da)
2 pints (p)
8. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
Cl 10^-2 or 0.01 or 1/100
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
Divide the number of centimeters by 2.54
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
9. How did you know which units went on top and which went underneath?
10. The next-larger unit from the meter is the
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).
52
Liter
Decimeter
11. The most common capacity conversions are between...
4 cups (c)
Fluid ounces and milliliters - Gallons and liters
2000 pounds (lb)
Decimeter
12. meter
13. The Same Denominator
Centimeter
You can add fractions only when they have
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
14. The most common larger unit of mass is the
Kilogram (1000 grams)
Move the redix the the right by number of 0's
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 ounces by 28.35
15. Miles and Kilometers
1 mi = 1.61 km
(m) 0.001 (thousandth)
Multiply the number of ounces by 28.35
Multiply the number of fluid ounces by 29.57
16. 1 ton (T)
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
Are not significant
2000 pounds (lb)
Dl 10^-1 or 0.10 or 1/10
17. A centimeter is
1/10th of a meter.
Multiply the number of miles by 1.61
1 fl. oz = 29.57 mL
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
18. micrometer
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
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.
Divide the number of feet by 3.28
19. metric ton
Dal 10^1 or 10 or 10/1
Younches and centimeters - Feet and meters - Miles and kilometers
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
20. 1 fl. oz
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
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.
Hl 10^2 or 100 or 100/1
21. Digits from 1-9
Are always significant
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
1 gal = 3.79 L
29.57 mL
22. To add fractions that do not have a common denominator
7 days (da)
Multiply the number of ounces by 28.35
Mm 10^-3 or 0.001 or 1/1 -000
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.
23. To convert centimeters to inches
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
Gram (g)
Divide the number of centimeters by 2.54
29.57 mL
24. microliter
Multiply the number of ounces by 28.35
Kg 10^3 or 1 -000 or 1 -000/1
Ml 10^-3 or 0.001 or 1/1 -000
25. Zeros used solely for spacing the decimal point (placeholders)
Are not significant
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
3.28 ft
Km 10^3 or 1 -000 or 1 -000/1
26. Feet and Meters
Kg 10^3 or 1 -000 or 1 -000/1
1 mi = 1.61 km
1 m = 3.28 ft
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
27. hectoliter
Hl 10^2 or 100 or 100/1
Cm 10^-2 or 0.01 or 1/100
(k) 1 -000 (thousand)
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.
28. To convert inches to centimeters
(da) 10 (ten)
Dl 10^-1 or 0.10 or 1/10
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
Multiply the number of inches by 2.54
29. centi
(c) 0.01 (hundredth)
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
Dag 10^1 or 10 or 10/1
1 gal = 3.79 L
30. Converting bigger unit to smaller unit
29.57 mL
Multiply
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
Division
31. hectogram
8 fluid ounces (fl. oz)
Hg 10^2 or 100 or 100/1
Hm 10^2 or 100 or 100/1
Are significant
32. To convert fluid ounces to milliliters
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
#ft. * 12 in./1 ft. = #(12) in.
2000 pounds (lb)
Multiply the number of fluid ounces by 29.57
33. kilometer
29.57 mL
Divide the number of centimeters by 2.54
Km 10^3 or 1 -000 or 1 -000/1
Dl 10^-1 or 0.10 or 1/10
34. 1 day (da)
1 m = 3.28 ft
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.
24 hours (hr)
Hl 10^2 or 100 or 100/1
35. dekaliter
Dal 10^1 or 10 or 10/1
Dl 10^-1 or 0.10 or 1/10
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
'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
36. To convert feet to meters
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
(h) 100 (hundred)
Divide the number of feet by 3.28
37. 1 pound (lb)
Liter
Dal 10^1 or 10 or 10/1
Multiply the number of meters by 3.28
16 ounces (oz)
38. Cancelling units in Multi-step Conversions
39. < into >
12 in.
Multiply the number of inches by 2.54
Division
Multiply
40. What is the difference between weight and mass?
A body has weight only when it is in a force field
16 ounces (oz)
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.
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
41. Adding Proper Fractions That Do Not Have a Common Denominator
(d) 0.1 (tenth)
Are not significant
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.
Dam 10^1 or 10 or 10/1
42. The basic metric unit for mass (or weight) is the
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.
Gram (g)
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.
Are always significant
43. Metric Measures of Mass and Weight
Kl 10^3 or 1 -000 or 1 -000/1
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
1
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).
44. To convert some number of millimeters to inches
45. To convert gallons to liters
Multiply the number of gallons by 3.79
(da) 10 (ten)
Dal 10^1 or 10 or 10/1
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.
46. To subtract fractions that do not have a common denominator
Dam 10^1 or 10 or 10/1
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.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Liter
47. Converting smaller units into bigger units is going to bigger units and means going to smaller numbers. Like Converting 7 -920 yards to miles!
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.
(k) 1 -000 (thousand)
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
2000 pounds (lb)
48. Fractions of an inch
(k) 1 -000 (thousand)
Sixteenths - 1/16 + 15/16 = 1 in.
(m) 0.001 (thousandth)
Cm 10^-2 or 0.01 or 1/100
49. Small units to Big unit
(k) 1 -000 (thousand)
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
29.57 mL
Multiply the number of pounds by 0.4536
50. 1 year (yr)
M 1
Multiply the number of miles by 1.61
12 months (mo)
Dg 10^-1 or 0.10 or 1/10