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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. 1 gal
3.79 L
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
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
Kg 10^3 or 1 -000 or 1 -000/1

2. hecto
Meter
Mg 10^-3 or 0.001 or 1/1 -000
1 m = 3.28 ft
(h) 100 (hundred)

3. to convert yards to meters - but you don't happen to know the conversion factors for yards and 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.
4 cups (c)
1 m = 3.28 ft
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. dekaliter
28 and 31
1 m = 3.28 ft
Younches and centimeters - Feet and meters - Miles and kilometers
Dal 10^1 or 10 or 10/1

5. microliter
366 da
60 seconds (sec)

16 ounces (oz)

6. The number of days in a month varies between
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.
'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
28 and 31
Dam 10^1 or 10 or 10/1

7. To convert fluid ounces to milliliters
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Multiply the number of fluid ounces by 29.57
Move the redix the the right by number of 0's
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #

8. 1 year (yr)
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
7 days (da)
365 days (da)*
52

9. 1 ton (T)
Hg 10^2 or 100 or 100/1
2000 pounds (lb)
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
Cm 10^-2 or 0.01 or 1/100

10. To convert some number of millimeters to inches

11. To convert between units
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
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
M 1

12. To add mixed fractions
G 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
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Dm 10^-1 or 0.1 or 1/10

13. To convert feet to meters
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.
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
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 the number of feet by 3.28

14. The Metric System
1 fl. oz = 29.57 mL
Divide the number of liters by 3.79
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
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

15. 1 cup (c)
Divide the number of liters by 3.79
8 fluid ounces (fl. oz)
Kl 10^3 or 1 -000 or 1 -000/1
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)

16. US Customary units of length
Multiply the number of gallons by 3.79
Dam 10^1 or 10 or 10/1
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.
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.

17. To subtract fractions that do not have a common denominator
(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'.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Multiply the number of pounds by 0.4536
Multiply the number of inches by 2.54

18. 1 hour (hr)
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
60 minutes (min)
Divide the number of liters by 3.79

19. Cancelling units

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

21. dekagram
1 gal = 3.79 L
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
Kl 10^3 or 1 -000 or 1 -000/1
Dag 10^1 or 10 or 10/1

22. Rules For Significant Digits
Meter
(d) 0.1 (tenth)
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
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have

23. Zeros used solely for spacing the decimal point (placeholders)
Are not significant
Gram (g)
Divide the number of milliliters by 29.57
Kl 10^3 or 1 -000 or 1 -000/1

24. The same denominator
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Move the redix the the right by number of 0's
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
Division

25. deca
(da) 10 (ten)
1/10th of a meter.
365 days (da)*
Fluid ounces and milliliters - Gallons and liters

26. milliliter
Multiply the number of meters by 3.28
Ml 10^-3 or 0.001 or 1/1 -000
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Younches and centimeters - Feet and meters - Miles and kilometers

27. Fluid Ounces and Milliliters
1 fl. oz = 29.57 mL
(k) 1 -000 (thousand)
Gram (g)
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

28. kilo
Divide
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
Kl 10^3 or 1 -000 or 1 -000/1
(k) 1 -000 (thousand)

29. milligram
(1/1000th of a gram)
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
(h) 100 (hundred)
Kg 10^3 or 1 -000 or 1 -000/1

30. 1 ft.
Meter
12 in.
1 fl. oz = 29.57 mL
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #

31. centimeter
Cm 10^-2 or 0.01 or 1/100
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
(h) 100 (hundred)
4 cups (c)

32. 1 week (wk)
1.61 km
Decimeter
7 days (da)
Cg 10^-2 or 0.01 or 1/100

33. Adding Proper Fractions That Do Not Have a Common Denominator
Are always significant
29.57 mL
Dm 10^-1 or 0.1 or 1/10
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.

34. Gallons and Liters
8 fluid ounces (fl. oz)
1 gal = 3.79 L
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.

35. The U.S. Customary System
29.57 mL
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.
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
(h) 100 (hundred)

36. 1 mi
1.61 km
3.28 ft
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.
Fluid ounces and milliliters - Gallons and liters

37. > to <
Multiply
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Sixteenths - 1/16 + 15/16 = 1 in.
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.

38. Cancelling units in Multi-step Conversions

39. milli
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.
(m) 0.001 (thousandth)
1.61 km
Liter

40. To convert miles to kilometers
Kilogram (1000 grams)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
(h) 100 (hundred)
Multiply the number of miles by 1.61

41. 1 pound (lb)
Milligram (1/1000th of a gram)
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Fluid ounces and milliliters - Gallons and liters
16 ounces (oz)

42. Fractions of an inch
Divide the number of milliliters by 29.57
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
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Sixteenths - 1/16 + 15/16 = 1 in.

43. liter
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
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.
1
Multiply the number of meters by 3.28

44. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
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
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
Are significant

45. Small units to Big unit
Multiply the number of kilograms 2.2
Decimeter
Mm 10^-3 or 0.001 or 1/1 -000
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant

46. 1 pint (pt)
Ml 10^-3 or 0.001 or 1/1 -000
29.57 mL
Divide the number of kilometers by 1.61
2 cups (c)

47. Miles and Kilometers
1 mi = 1.61 km

Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
Dl 10^-1 or 0.10 or 1/10

48. Zeros between two other significant digits
Dg 10^-1 or 0.10 or 1/10
Are significant
10 meters.
Are always significant

49. centigram
1 mi = 1.61 km
Cg 10^-2 or 0.01 or 1/100
Hm 10^2 or 100 or 100/1
Dam 10^1 or 10 or 10/1

50. deci
Meter
Multiply
(d) 0.1 (tenth)
1 mi = 1.61 km