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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. Big unit to Small unit
Dag 10^1 or 10 or 10/1
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
4 cups (c)

2. milligram
Are always significant
Mg 10^-3 or 0.001 or 1/1 -000
(d) 0.1 (tenth)
8 fluid ounces (fl. oz)

3. 1 year (yr)

(c) 0.01 (hundredth)
365 days (da)*
Cg 10^-2 or 0.01 or 1/100

4. The most common capacity conversions are between...
Move the redix to the left as many 0's as being multiplied by
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.
4 cups (c)

5. 1 in
Move the redix to the left as many 0's as being multiplied by
2.54 cm
Km 10^3 or 1 -000 or 1 -000/1
1/10th of a meter.

6. hectogram
Ml 10^-3 or 0.001 or 1/1 -000
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
(h) 100 (hundred)
Hg 10^2 or 100 or 100/1

7. Miles and Kilometers
1 mi = 1.61 km
Milligram (1/1000th of a gram)
Multiply the number of kilograms 2.2
Km 10^3 or 1 -000 or 1 -000/1

8. To convert kilometers to miles
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
Divide the number of kilometers by 1.61
Are always significant
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

9. To convert ounces to grams
Multiply the number of ounces by 28.35
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.
'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
Convert the mixed fractions to improper fractions. Add the resulting fractions.

10. To convert miles to kilometers
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Dag 10^1 or 10 or 10/1
Multiply the number of miles by 1.61

11. Younches and Centimeters
7 days (da)
1 in = 2.54 cm
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
Milligram (1/1000th of a gram)

12. milliliter
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.
Dam 10^1 or 10 or 10/1
Ml 10^-3 or 0.001 or 1/1 -000

13. To add fractions that have a common - or same - denominator
Multiply the number of meters by 3.28
(h) 100 (hundred)
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).
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.

14. The Metric System
10 meters.
You can add fractions only when they have
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
Multiply the number of inches by 2.54

15. to convert yards to meters - but you don't happen to know the conversion factors for yards and meters
Are not significant

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.
2.54 cm

16. What is the difference between weight and mass?
Cl 10^-2 or 0.01 or 1/100
Divide the number of liters by 3.79
A body has weight only when it is in a force field
24 hours (hr)

17. The U.S. Customary System
12 in.
Divide the number of feet by 3.28
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.
Ml 10^-3 or 0.001 or 1/1 -000

18. decigram
3.28 ft
You can add fractions only when they have
(1/1000th of a gram)
Dg 10^-1 or 0.10 or 1/10

19. deca
#ft. * 12 in./1 ft. = #(12) in.
Divide the number of centimeters by 2.54
Kg 10^3 or 1 -000 or 1 -000/1
(da) 10 (ten)

20. ft. to in.
Dam 10^1 or 10 or 10/1
60 seconds (sec)
Divide the number of kilometers by 1.61
#ft. * 12 in./1 ft. = #(12) in.

21. < into >
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
(da) 10 (ten)
Division
#ft. * 12 in./1 ft. = #(12) in.

22. 1 quart (qt)
4 cups (c)
Liter
1 in = 2.54 cm
1 fl. oz = 29.57 mL

23. 1 week (wk)
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
8 fluid ounces (fl. oz)
Move the redix the the right by number of 0's
7 days (da)

24. The approximate number of weeks in a year is
Hl 10^2 or 100 or 100/1
12 in.
Are significant
52

25. 1 ton (T)
Multiply the number of kilograms 2.2
2000 pounds (lb)
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
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

26. hectoliter
Hl 10^2 or 100 or 100/1
Division
4 cups (c)
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.

27. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
Are significant
T 10^6 or 1 -000 -000 or 1 -000 -000/1
Multiply the number of ounces by 28.35
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

28. milligram
(1/1000th of a gram)
5280 ft.
Dag 10^1 or 10 or 10/1

29. 1 fl. oz
Multiply the number of fluid ounces by 29.57
29.57 mL
Ml 10^-3 or 0.001 or 1/1 -000
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

30. Adding Proper Fractions That Do Not Have a Common Denominator
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.
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
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.
Divide the number of feet by 3.28

31. centi

1 mi = 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.
(c) 0.01 (hundredth)

32. Metric Measures of Mass and Weight
(1/1000th of a gram)
Move the redix to the left as many 0's as being multiplied by
Milligram (1/1000th of a gram)
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).

33. The number of days in a month varies between
28 and 31
Cl 10^-2 or 0.01 or 1/100
Younches and centimeters - Feet and meters - Miles and kilometers
60 seconds (sec)

34. A centimeter is
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.
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
1/10th of a meter.
Multiply the number of kilograms 2.2

35. Gallons and Liters
Younches and centimeters - Feet and meters - Miles and kilometers
1 gal = 3.79 L
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
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.

36. meter
Multiply the number of ounces by 28.35
Multiply the number of gallons by 3.79
M 1
1 in = 2.54 cm

37. 80 miles/hr to Meters/second

38. The next-larger unit from the meter is the
(h) 100 (hundred)
Divide
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Decimeter

39. To convert meters to feet
1 gal = 3.79 L
Ml 10^-3 or 0.001 or 1/1 -000
Multiply the number of meters by 3.28
366 da

40. dekaliter
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
Multiply
Dal 10^1 or 10 or 10/1
12 months (mo)

41. deci
Hm 10^2 or 100 or 100/1
(m) 0.001 (thousandth)
3.28 ft
(d) 0.1 (tenth)

42. 1 pint (pt)
(c) 0.01 (hundredth)
(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'.
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
2 cups (c)

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

44. milli
(m) 0.001 (thousandth)
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.
Cg 10^-2 or 0.01 or 1/100
Kilogram (1000 grams)

45. To convert liters to gallons
Multiply the number of miles by 1.61
Divide the number of liters by 3.79
(h) 100 (hundred)
7 days (da)

46. kilo
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.
(k) 1 -000 (thousand)
Multiply
Dg 10^-1 or 0.10 or 1/10

47. Zeros used solely for spacing the decimal point (placeholders)
Hl 10^2 or 100 or 100/1
2.54 cm
3.79 L
Are not significant

48. Subtracting Fractions
(1/1000th of a gram)
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
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 always significant

49. gram
Hl 10^2 or 100 or 100/1
G 1
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
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.

50. metric ton
T 10^6 or 1 -000 -000 or 1 -000 -000/1
Milligram (1/1000th of a gram)
Cg 10^-2 or 0.01 or 1/100
Dl 10^-1 or 0.10 or 1/10