Test your basic knowledge |

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. US Customary units of length
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.
3.28 ft
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 Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #

2. To convert fluid ounces to milliliters
Move the redix to the left as many 0's as being multiplied by
Multiply the number of fluid ounces by 29.57
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.
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

3. Rules For Significant Digits
Kilogram (1000 grams)
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
Hg 10^2 or 100 or 100/1
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

4. The number of days in a month varies between
52
4 quarts (qt)
Dam 10^1 or 10 or 10/1
28 and 31

5. microgram
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have

Mm 10^-3 or 0.001 or 1/1 -000
Multiply the number of miles by 1.61

6. To convert meters to feet
Multiply the number of meters by 3.28
Dal 10^1 or 10 or 10/1
28 and 31
Are always significant

7. The next-smaller unit from the meter is the
Centimeter

366 da
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

8. 1 m
(c) 0.01 (hundredth)
Are not significant
Multiply the number of meters by 3.28
3.28 ft

9. The most common length conversions are between
Younches and centimeters - Feet and meters - Miles and kilometers
1/10th of a meter.
Liter
366 da

10. A centimeter is
1/10th of a meter.
Divide the number of liters by 3.79
#ft. * 12 in./1 ft. = #(12) in.
Divide the number of feet by 3.28

11. Adding Proper Fractions That Do Not Have a Common Denominator
2.54 cm
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.
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).
5280 ft.

12. to convert yards to meters - but you don't happen to know the conversion factors for yards and meters
Kg 10^3 or 1 -000 or 1 -000/1
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.
(k) 1 -000 (thousand)
Dm 10^-1 or 0.1 or 1/10

13. Every 4th year is a leap year. That year - 1 yr
366 da
1 in = 2.54 cm
Dal 10^1 or 10 or 10/1
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

14. Small units to Big unit
Kl 10^3 or 1 -000 or 1 -000/1
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.
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.

15. To subtract fractions that have a common 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.
16 ounces (oz)
Move the redix the the right by number of 0's
(c) 0.01 (hundredth)

16. 1 gallon (gal.)
4 quarts (qt)
Sixteenths - 1/16 + 15/16 = 1 in.
Hl 10^2 or 100 or 100/1
Multiply the number of gallons by 3.79

17. To convert inches to centimeters
A body has weight only when it is in a force field
60 seconds (sec)
Multiply the number of inches by 2.54
29.57 mL

18. Fractions of an inch
365 days (da)*
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.
(k) 1 -000 (thousand)

19. decameter
Milligram (1/1000th of a gram)
Dam 10^1 or 10 or 10/1
(c) 0.01 (hundredth)
10 meters.

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

21. Feet and Meters
1 m = 3.28 ft
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Kg 10^3 or 1 -000 or 1 -000/1
2000 pounds (lb)

22. hectoliter
Hl 10^2 or 100 or 100/1
1/10th of a meter.
Multiply
366 da

23. To convert liters to gallons
3.28 ft
12 in.

Divide the number of liters by 3.79

24. Cancelling units

25. The most common unit that is smaller than a gram is the
1 gal = 3.79 L
Kl 10^3 or 1 -000 or 1 -000/1
Milligram (1/1000th of a gram)
28 and 31

26. 1 week (wk)
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
60 seconds (sec)
Multiply the number of ounces by 28.35
7 days (da)

27. To convert between units
Centimeter
Multiply the number of gallons by 3.79
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
You can add fractions only when they have

28. 1 yd.
Are not significant
1 mi = 1.61 km
3 ft.
29.57 mL

29. Big unit to Small unit
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
365 days (da)*

30. kilo
60 seconds (sec)
(k) 1 -000 (thousand)
Mm 10^-3 or 0.001 or 1/1 -000
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.

31. The next-larger unit from the meter is the
Multiply the number of miles by 1.61
Decimeter
Convert the mixed fractions to improper fractions. Add the resulting fractions.
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.

32. To add fractions that have a common - or same - denominator
60 minutes (min)
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
Liter
2.54 cm

33. 1 mi
Dm 10^-1 or 0.1 or 1/10
Division
Dag 10^1 or 10 or 10/1
1.61 km

34. The basic unit of metric capacity is the
12 months (mo)
Liter
Km 10^3 or 1 -000 or 1 -000/1
7 days (da)

35. 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.
DivideSmall # * 1 Big # / Small # Constant = Small # (1 Big #) / Small # Constant
3.79 L
Multiply the number of pounds by 0.4536

36. 1 quart (qt)
2 pints (p)
Mm 10^-3 or 0.001 or 1/1 -000
2 cups (c)
(d) 0.1 (tenth)

37. Converting bigger units to smaller units is going to smaller units and means going to bigger numbers
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
Multiply the number of miles by 1.61
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.
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

38. To convert miles to kilometers
1 in = 2.54 cm
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.
Multiply the number of miles by 1.61

39. Metric Measures of Mass and Weight
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).
Milligram (1/1000th of a gram)
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
Centimeter

40. 1 hour (hr)
60 minutes (min)
Divide
Dam 10^1 or 10 or 10/1
Dm 10^-1 or 0.1 or 1/10

41. 1 pound (lb)
Multiply the number of kilograms 2.2
T 10^6 or 1 -000 -000 or 1 -000 -000/1
2 cups (c)
16 ounces (oz)

42. Metric Measures of Capacity
Divide the number of centimeters by 2.54
'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
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
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.

43. Converting smaller units into larger unit
1
Multiply
Younches and centimeters - Feet and meters - Miles and kilometers
Divide

44. decigram
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
Km 10^3 or 1 -000 or 1 -000/1
Younches and centimeters - Feet and meters - Miles and kilometers
Dg 10^-1 or 0.10 or 1/10

45. The basic metric unit of length is the
Meter
Cl 10^-2 or 0.01 or 1/100
Divide
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.

46. kiloliter
Hl 10^2 or 100 or 100/1
2.54 cm
Multiply the number of grams by 0.035.
Kl 10^3 or 1 -000 or 1 -000/1

47. meter
M 1
Hl 10^2 or 100 or 100/1
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.
Divide the number of feet by 3.28

48. Cancelling units in Multi-step Conversions

49. The basic metric unit for mass (or weight) is the
Gram (g)
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
Cl 10^-2 or 0.01 or 1/100
Division

50. 1 day (da)
Multiply
(m) 0.001 (thousandth)
24 hours (hr)
1.61 km