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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. To add mixed fractions
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
Convert the mixed fractions to improper fractions. Add the resulting fractions.
1 m = 3.28 ft
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #

2. Rules For Significant Digits
Liter
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
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
Divide

3. hectoliter
T 10^6 or 1 -000 -000 or 1 -000 -000/1
Liter
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Hl 10^2 or 100 or 100/1

4. Adding Proper Fractions That Do Not Have a Common Denominator
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 m = 3.28 ft
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.
8 fluid ounces (fl. oz)

5. To convert kilograms to pounds
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
28 and 31
Multiply the number of kilograms 2.2
T 10^6 or 1 -000 -000 or 1 -000 -000/1

6. The approximate number of weeks in a year is
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
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.
52
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.

7. Miles and Kilometers
1 m = 3.28 ft
Multiply the number of grams by 0.035.
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
1 mi = 1.61 km

8. To convert fluid ounces to milliliters
Multiply the number of fluid ounces by 29.57
Divide the number of centimeters by 2.54
(h) 100 (hundred)
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.

9. liter
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
366 da
1
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.

10. deciliter
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
Dl 10^-1 or 0.10 or 1/10
2.54 cm
#ft. * 12 in./1 ft. = #(12) in.

11. US Customary units of length
Divide the number of kilometers by 1.61
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.
Dl 10^-1 or 0.10 or 1/10
1 in = 2.54 cm

12. hecto
2 pints (p)
G 1
(h) 100 (hundred)
2 cups (c)

13. 1 hour (hr)
Divide the number of centimeters by 2.54
60 minutes (min)
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.
4 cups (c)

14. What is the difference between weight and mass?
Move the redix the the right by number of 0's

7 days (da)
A body has weight only when it is in a force field

15. hectometer
Ml 10^-3 or 0.001 or 1/1 -000
Hm 10^2 or 100 or 100/1
(h) 100 (hundred)
Are always significant

16. 1 gallon (gal.)
4 quarts (qt)
Are significant
Multiply the number of pounds by 0.4536
Multiply the number of ounces by 28.35

17. The next-larger unit from the meter is the
Decimeter
(c) 0.01 (hundredth)
Gram (g)
1

18. centiliter
Multiply the number of inches by 2.54
Cl 10^-2 or 0.01 or 1/100
Multiply the number of ounces by 28.35
Ml 10^-3 or 0.001 or 1/1 -000

19. Digits from 1-9
3.28 ft
Are always significant
60 minutes (min)
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.

20. Small units to Big unit
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
1 m = 3.28 ft
Multiply the number of pounds by 0.4536
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant

21. The most common larger unit of mass is the
Kilogram (1000 grams)
T 10^6 or 1 -000 -000 or 1 -000 -000/1
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
16 ounces (oz)

22. To subtract fractions that do not have a common denominator
Liter
Km 10^3 or 1 -000 or 1 -000/1
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
'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

23. Fluid Ounces and Milliliters
Milligram (1/1000th of a gram)
1 fl. oz = 29.57 mL
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
2000 pounds (lb)

24. The U.S. Customary System
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.
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.
Hm 10^2 or 100 or 100/1
Dl 10^-1 or 0.10 or 1/10

25. millimeter
Hm 10^2 or 100 or 100/1
#ft. * 12 in./1 ft. = #(12) in.
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Mm 10^-3 or 0.001 or 1/1 -000

26. To convert pounds to kilograms
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 number of feet by 3.28
Multiply the number of pounds by 0.4536
60 minutes (min)

27. To subtract fractions that have a common denominator
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
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
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

28. Subtracting Fractions

Dm 10^-1 or 0.1 or 1/10
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.
Dag 10^1 or 10 or 10/1

29. Convert 3 gallons to quarts.
(m) 0.001 (thousandth)
2.54 cm
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
3.28 ft

30. milli
29.57 mL
(m) 0.001 (thousandth)
Younches and centimeters - Feet and meters - Miles and kilometers
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

31. decameter
(h) 100 (hundred)
Dam 10^1 or 10 or 10/1
1/10th of a meter.
24 hours (hr)

32. Converting smaller units into bigger units is going to bigger units and means going to smaller numbers. Like Converting 7 -920 yards to miles!
#ft. * 12 in./1 ft. = #(12) in.
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
Multiply the number of meters by 3.28
Multiply the number of pounds by 0.4536

33. Dividing Metric Units

34. microgram
Liter
4 quarts (qt)

60 minutes (min)

35. The most common length conversions are between
52
Younches and centimeters - Feet and meters - Miles and kilometers
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.
1 m = 3.28 ft

36. kilo
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.
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
Kl 10^3 or 1 -000 or 1 -000/1
(k) 1 -000 (thousand)

37. The basic metric unit for mass (or weight) is the
Dg 10^-1 or 0.10 or 1/10
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.
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).
Gram (g)

38. Feet and Meters
1 m = 3.28 ft
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Are not significant
12 months (mo)

39. decimeter
Dm 10^-1 or 0.1 or 1/10
60 minutes (min)
Younches and centimeters - Feet and meters - Miles and kilometers
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.

40. 1 year (yr)
12 months (mo)
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
Mg 10^-3 or 0.001 or 1/1 -000
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.

41. 1 fl. oz
Centimeter
T 10^6 or 1 -000 -000 or 1 -000 -000/1
4 cups (c)
29.57 mL

42. 1 year (yr)

10 meters.
Division
365 days (da)*

43. 1 in
4 cups (c)
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
2.54 cm
Multiply the number of gallons by 3.79

44. Cancelling units in Multi-step Conversions

45. To convert inches to centimeters
Multiply the number of inches by 2.54
1 m = 3.28 ft
366 da
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

46. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
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.
Kg 10^3 or 1 -000 or 1 -000/1
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 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

47. gram
G 1
Multiply the number of meters by 3.28
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Multiply the number of ounces by 28.35

48. The next-smaller unit from the meter is the
4 cups (c)
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
Are always significant
Centimeter

49. decigram
Dg 10^-1 or 0.10 or 1/10
Meter
Kg 10^3 or 1 -000 or 1 -000/1
T 10^6 or 1 -000 -000 or 1 -000 -000/1

50. To convert milliliters to fluid ounces
Divide the number of milliliters by 29.57
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
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
Cm 10^-2 or 0.01 or 1/100