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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. centigram
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
8 fluid ounces (fl. oz)
Cg 10^-2 or 0.01 or 1/100
4 quarts (qt)

2. Convert 3 gallons to quarts.
Multiply
Cg 10^-2 or 0.01 or 1/100
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
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.

3. centiliter
(m) 0.001 (thousandth)
M 1
3.79 L
Cl 10^-2 or 0.01 or 1/100

4. Converting smaller units into bigger units is going to bigger units and means going to smaller numbers. Like Converting 7 -920 yards to miles!
Dam 10^1 or 10 or 10/1
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
24 hours (hr)

5. 1 year (yr)
12 months (mo)
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.
52

6. The most common larger unit of mass is the
Meter
Move the redix the the right by number of 0's
Kilogram (1000 grams)
Are not significant

7. hectoliter
(1/1000th of a gram)
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
12 in.
Hl 10^2 or 100 or 100/1

8. The most common length conversions are between
24 hours (hr)
60 seconds (sec)
Younches and centimeters - Feet and meters - Miles and kilometers
Dam 10^1 or 10 or 10/1

9. > to <
16 ounces (oz)
Multiply
Convert the mixed fractions to improper fractions. Add the resulting fractions.
T 10^6 or 1 -000 -000 or 1 -000 -000/1

10. hecto
Divide
(h) 100 (hundred)
Meter
Divide the number of kilometers by 1.61

11. Small units to Big unit
(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'.
Younches and centimeters - Feet and meters - Miles and kilometers
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
12 months (mo)

12. 1 yd.
4 quarts (qt)
(h) 100 (hundred)
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
3 ft.

13. Adding Proper Fractions That Do Not Have a Common Denominator
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.

2 cups (c)
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant

14. Fluid Ounces and Milliliters
Gram (g)
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Multiply the number of ounces by 28.35
1 fl. oz = 29.57 mL

15. Digits from 1-9
2 pints (p)
1 fl. oz = 29.57 mL
Are always significant
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.

16. To convert centimeters to inches
Divide the number of centimeters by 2.54
2 pints (p)
(1/1000th of a gram)
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 convert yards to meters - but you don't happen to know the conversion factors for yards and meters
Cl 10^-2 or 0.01 or 1/100
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
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.
Meter

18. Cancelling units

19. kilometer
Km 10^3 or 1 -000 or 1 -000/1
Hm 10^2 or 100 or 100/1
Sixteenths - 1/16 + 15/16 = 1 in.
2 cups (c)

20. Converting smaller units into larger unit
Multiply the number of kilograms 2.2
Multiply the number of meters by 3.28
Divide
Move the redix to the left as many 0's as being multiplied by

21. Dividing Metric Units

22. Feet and Meters
Dam 10^1 or 10 or 10/1
Multiply the number of gallons by 3.79
1 m = 3.28 ft
1 gal = 3.79 L

23. Younches and Centimeters
1 in = 2.54 cm
24 hours (hr)
Multiply the number of miles by 1.61
Kilogram (1000 grams)

24. The next-smaller unit from the meter is the
Mg 10^-3 or 0.001 or 1/1 -000
Centimeter
Are always significant
Multiply the number of kilograms 2.2

25. The same denominator
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
Hm 10^2 or 100 or 100/1
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Hg 10^2 or 100 or 100/1

26. deci
Kilogram (1000 grams)
Divide the number of kilometers by 1.61
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
(d) 0.1 (tenth)

27. Subtracting Fractions
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.
Dal 10^1 or 10 or 10/1
10 meters.
Divide the number of centimeters by 2.54

28. Adding inches
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.
3.28 ft
Multiply the number of inches by 2.54
Are significant

29. kilo
Move the redix the the right by number of 0's
Dm 10^-1 or 0.1 or 1/10
(k) 1 -000 (thousand)
Cm 10^-2 or 0.01 or 1/100

30. dekagram
Dag 10^1 or 10 or 10/1
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.
Are always significant
Divide the number of centimeters by 2.54

31. To convert fluid ounces to milliliters
4 quarts (qt)
1.61 km
(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'.
Multiply the number of fluid ounces by 29.57

32. To subtract fractions that do not have a common denominator
1 gal = 3.79 L
Kl 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

33. milliliter
Dag 10^1 or 10 or 10/1
Hl 10^2 or 100 or 100/1

Ml 10^-3 or 0.001 or 1/1 -000

34. kiloliter
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.
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
60 seconds (sec)
Kl 10^3 or 1 -000 or 1 -000/1

35. To convert feet to meters
Divide the number of feet by 3.28
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.
Multiply the number of grams by 0.035.
(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'.

36. centimeter
Are significant
Are always significant
Are not significant
Cm 10^-2 or 0.01 or 1/100

37. Gallons and Liters
You can add fractions only when they have
60 seconds (sec)
2 cups (c)
1 gal = 3.79 L

38. 80 miles/hr to Meters/second

39. dekaliter
Cl 10^-2 or 0.01 or 1/100
Dl 10^-1 or 0.10 or 1/10
Dag 10^1 or 10 or 10/1
Dal 10^1 or 10 or 10/1

40. To add fractions that have a common - or same - denominator
Divide the number of centimeters by 2.54
Sixteenths - 1/16 + 15/16 = 1 in.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.

41. ft. to in.
Sixteenths - 1/16 + 15/16 = 1 in.
Divide the number of liters by 3.79
60 seconds (sec)
#ft. * 12 in./1 ft. = #(12) in.

42. To add mixed fractions
5280 ft.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Meter

43. 1 pint (pt)
T 10^6 or 1 -000 -000 or 1 -000 -000/1
1 in = 2.54 cm
2 cups (c)
Mm 10^-3 or 0.001 or 1/1 -000

44. Multiplying Metric Units

45. microliter
Convert the mixed fractions to improper fractions. Add the resulting fractions.
(m) 0.001 (thousandth)
52

46. 1 hour (hr)
10 meters.
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
Meter
60 minutes (min)

47. To subtract fractions that have a common denominator
(d) 0.1 (tenth)
Hm 10^2 or 100 or 100/1
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.

48. 1 cup (c)
8 fluid ounces (fl. oz)
Kl 10^3 or 1 -000 or 1 -000/1
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.
3 ft.

49. The Metric System
Decimeter
2.54 cm
Multiply the number of meters by 3.28
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

50. Rules For Significant Digits
Multiply the number of grams by 0.035.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
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