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Test your basic knowledge |
CLEP General Mathematics: Unit Conversion
Start Test
Study First
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 convert kilometers to miles
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.
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 kilometers by 1.61
Are always significant
2. To subtract fractions that have a common denominator
10 meters.
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
Multiply the number of miles by 1.61
3. hectogram
Hg 10^2 or 100 or 100/1
Multiply the number of miles by 1.61
Multiply the number of gallons by 3.79
Kl 10^3 or 1 -000 or 1 -000/1
4. Metric Measures of Capacity
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
Cg 10^-2 or 0.01 or 1/100
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)
5. Multiplying Metric Units
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6. kilometer
Mm 10^-3 or 0.001 or 1/1 -000
2000 pounds (lb)
Km 10^3 or 1 -000 or 1 -000/1
2.54 cm
7. To convert inches to centimeters
2 pints (p)
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
Multiply the number of inches by 2.54
(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'.
8. 1 m
Move the redix to the left as many 0's as being multiplied by
Multiply the number of kilograms 2.2
(h) 100 (hundred)
3.28 ft
9. Zeros between two other significant digits
52
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
Are always significant
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
10. Younches and Centimeters
1 in = 2.54 cm
3.79 L
29.57 mL
Kl 10^3 or 1 -000 or 1 -000/1
11. Subtracting inches
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
60 minutes (min)
2000 pounds (lb)
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.
12. ft. to in.
Km 10^3 or 1 -000 or 1 -000/1
3.79 L
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
#ft. * 12 in./1 ft. = #(12) in.
13. Convert 3 gallons to quarts.
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
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Multiply the number of inches by 2.54
Multiply the number of ounces by 28.35
14. To convert meters to feet
Hl 10^2 or 100 or 100/1
Multiply the number of meters by 3.28
T 10^6 or 1 -000 -000 or 1 -000 -000/1
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
15. To convert milliliters to fluid ounces
24 hours (hr)
Divide the number of milliliters by 29.57
Multiply the number of grams by 0.035.
1 in = 2.54 cm
16. To add mixed fractions
Sixteenths - 1/16 + 15/16 = 1 in.
Convert the mixed fractions to improper fractions. Add the resulting fractions.
2.54 cm
1/10th of a meter.
17. milli
Km 10^3 or 1 -000 or 1 -000/1
Multiply the number of ounces by 28.35
12 in.
(m) 0.001 (thousandth)
18. To convert gallons to liters
3.28 ft
60 seconds (sec)
Multiply the number of gallons by 3.79
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
19. hecto
Kilogram (1000 grams)
1
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
(h) 100 (hundred)
20. Rules For Significant Digits
(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'.
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
Multiply the number of inches by 2.54
Liter
21. To subtract fractions that do not have a common denominator
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
5280 ft.
Divide
22. millimeter
1/10th of a meter.
Multiply the number of fluid ounces by 29.57
1 m = 3.28 ft
Mm 10^-3 or 0.001 or 1/1 -000
23. 1 gal
Multiply the number of grams by 0.035.
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
3.79 L
Centimeter
24. centiliter
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Cl 10^-2 or 0.01 or 1/100
G 1
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.
25. The basic metric unit of length is the
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.
365 days (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
Meter
26. To convert liters to gallons
'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
Sixteenths - 1/16 + 15/16 = 1 in.
Divide the number of liters by 3.79
Move the redix to the left as many 0's as being multiplied by
27. Miles and Kilometers
#ft. * 12 in./1 ft. = #(12) in.
You can add fractions only when they have
1 mi = 1.61 km
3.28 ft
28. 1 week (wk)
2000 pounds (lb)
7 days (da)
10 meters.
Cm 10^-2 or 0.01 or 1/100
29. centimeter
366 da
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.
Cm 10^-2 or 0.01 or 1/100
30. Zeros used solely for spacing the decimal point (placeholders)
Are not significant
Mm 10^-3 or 0.001 or 1/1 -000
1
3 ft.
31. centi
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.
(c) 0.01 (hundredth)
(h) 100 (hundred)
3.28 ft
32. dekaliter
Multiply the number of grams by 0.035.
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
Hg 10^2 or 100 or 100/1
Dal 10^1 or 10 or 10/1
33. microgram
1 mi = 1.61 km
Multiply
Move the redix the the right by number of 0's
34. The next-larger unit from the meter is the
Fluid ounces and milliliters - Gallons and liters
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
Decimeter
1 m = 3.28 ft
35. micrometer
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
7 days (da)
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.
36. 1 year (yr)
Mm 10^-3 or 0.001 or 1/1 -000
Divide the number of milliliters by 29.57
3 ft.
12 months (mo)
37. The most common length conversions are between
29.57 mL
Ml 10^-3 or 0.001 or 1/1 -000
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Younches and centimeters - Feet and meters - Miles and kilometers
38. The most common unit that is smaller than a gram is the
Kl 10^3 or 1 -000 or 1 -000/1
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.
Milligram (1/1000th of a gram)
Multiply the number of gallons by 3.79
39. Math Operations with Younches
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
2.54 cm
16 ounces (oz)
Hg 10^2 or 100 or 100/1
40. How did you know which units went on top and which went underneath?
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41. decameter
#ft. * 12 in./1 ft. = #(12) in.
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
1 in = 2.54 cm
Dam 10^1 or 10 or 10/1
42. meter
G 1
Multiply the number of ounces by 28.35
M 1
Kl 10^3 or 1 -000 or 1 -000/1
43. To convert ounces to grams
Multiply the number of pounds by 0.4536
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.
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 the number of ounces by 28.35
44. liter
1
Liter
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
Fluid ounces and milliliters - Gallons and liters
45. milligram
(1/1000th of a gram)
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 ft.
Move the redix to the left as many 0's as being multiplied by
46. dekagram
Liter
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.
Dag 10^1 or 10 or 10/1
1 gal = 3.79 L
47. Dividing Metric Units
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48. To convert miles to kilometers
Multiply the number of ounces by 28.35
2 pints (p)
Multiply the number of miles by 1.61
16 ounces (oz)
49. The most common capacity conversions are 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.
Dam 10^1 or 10 or 10/1
Fluid ounces and milliliters - Gallons and liters
50. To convert centimeters to inches
3.28 ft
(d) 0.1 (tenth)
Kilogram (1000 grams)
Divide the number of centimeters by 2.54