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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. Zeros between two other significant digits
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.
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Are always significant
Multiply the number of grams by 0.035.
2. To subtract fractions that do not have a common denominator
28 and 31
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
Multiply the number of grams by 0.035.
12 months (mo)
3. meter
4. metric ton
Centimeter
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.
T 10^6 or 1 -000 -000 or 1 -000 -000/1
Kg 10^3 or 1 -000 or 1 -000/1
5. US Customary units of length
Milligram (1/1000th of a gram)
'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
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
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.
6. meter
M 1
12 in.
Multiply the number of inches by 2.54
(h) 100 (hundred)
7. 1 year (yr)
Divide
(k) 1 -000 (thousand)
12 months (mo)
Multiply
8. Metric Measures of Mass and Weight
Hl 10^2 or 100 or 100/1
24 hours (hr)
52
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).
9. To add fractions that do not have a common denominator
Liter
Dal 10^1 or 10 or 10/1
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.
(k) 1 -000 (thousand)
10. To convert pounds to kilograms
2 pints (p)
2 cups (c)
3.28 ft
Multiply the number of pounds by 0.4536
11. To convert centimeters to inches
Add the numerators to get the numerator for the sum. Assign the common denominator to the sum. Reduce or simplify the result as necessary.
Mg 10^-3 or 0.001 or 1/1 -000
24 hours (hr)
Divide the number of centimeters by 2.54
12. gram
G 1
Move the redix the the right by number of 0's
1.61 km
1 mi = 1.61 km
13. The most common length conversions are between
Centimeter
Younches and centimeters - Feet and meters - Miles and kilometers
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.
14. Younches and Centimeters
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
1 in = 2.54 cm
Divide the number of feet by 3.28
15. milli
(m) 0.001 (thousandth)
Multiply the number of meters by 3.28
4 quarts (qt)
7 days (da)
16. microliter
Are 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.
7 days (da)
17. The most common capacity conversions are between...
Fluid ounces and milliliters - Gallons and liters
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.
1 in = 2.54 cm
A body has weight only when it is in a force field
18. Big unit to Small unit
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
24 hours (hr)
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
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
19. To convert gallons to liters
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.
Kg 10^3 or 1 -000 or 1 -000/1
Multiply the number of gallons by 3.79
T 10^6 or 1 -000 -000 or 1 -000 -000/1
20. 1 fl. oz
Divide the number of milliliters by 29.57
29.57 mL
Multiply the number of fluid ounces by 29.57
Hg 10^2 or 100 or 100/1
21. Adding Proper Fractions That Do Not Have a Common Denominator
1 in = 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.
M 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
22. centiliter
Multiply the number of kilograms 2.2
Cl 10^-2 or 0.01 or 1/100
16 ounces (oz)
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.
23. 1 ft.
12 in.
1 in = 2.54 cm
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
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
24. 1 day (da)
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.
1 in = 2.54 cm
24 hours (hr)
28 and 31
25. To convert some number of millimeters to inches
26. To convert grams to ounces
2 cups (c)
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
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 Add the fractions. Reduce or simplify as necessary.
27. centigram
Dm 10^-1 or 0.1 or 1/10
Dg 10^-1 or 0.10 or 1/10
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).
Cg 10^-2 or 0.01 or 1/100
28. 1 ton (T)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
(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'.
2000 pounds (lb)
12 months (mo)
29. Subtracting Fractions
(m) 0.001 (thousandth)
You can add fractions only when they have
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 significant
30. The basic metric unit for mass (or weight) is the
Gram (g)
Dag 10^1 or 10 or 10/1
'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
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
31. To convert fluid ounces to milliliters
Convert the mixed fractions to improper fractions. Add the resulting fractions.
Multiply the number of grams by 0.035.
Multiply the number of fluid ounces by 29.57
(k) 1 -000 (thousand)
32. The Same Denominator
Km 10^3 or 1 -000 or 1 -000/1
(d) 0.1 (tenth)
You can add fractions only when they have
33. To convert meters to feet
Dal 10^1 or 10 or 10/1
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 meters by 3.28
You can add fractions only when they have
34. Metric Measures of Capacity
12 in.
T 10^6 or 1 -000 -000 or 1 -000 -000/1
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.
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
35. 1 in
1.61 km
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.
(d) 0.1 (tenth)
2.54 cm
36. Digits from 1-9
2.54 cm
Multiply the number of ounces by 28.35
Are always significant
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
37. millimeter
Younches and centimeters - Feet and meters - Miles and kilometers
Mm 10^-3 or 0.001 or 1/1 -000
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
'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
38. hectogram
Hg 10^2 or 100 or 100/1
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
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 miles by 1.61
39. deci
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 kilograms 2.2
(d) 0.1 (tenth)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
40. kilometer
Multiply the number of gallons by 3.79
Dm 10^-1 or 0.1 or 1/10
Km 10^3 or 1 -000 or 1 -000/1
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
41. Zeros to the right of both the decimal place and another significant digit
Divide
8 fluid ounces (fl. oz)
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
Are significant
42. 1 hour (hr)
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 grams by 0.035.
3.79 L
60 minutes (min)
43. The basic unit of metric capacity is the
Liter
Mm 10^-3 or 0.001 or 1/1 -000
Division
(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'.
44. To subtract fractions that have a common denominator
Are always significant
(1/1000th of a gram)
16 ounces (oz)
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
45. liter
Divide the number of liters by 3.79
Centimeter
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
1
46. The number of days in a month varies between
Cl 10^-2 or 0.01 or 1/100
28 and 31
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
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
47. 1 quart (qt)
Multiply the number of gallons by 3.79
2 pints (p)
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
Fluid ounces and milliliters - Gallons and liters
48. decimeter
Multiply the number of fluid ounces by 29.57
Dm 10^-1 or 0.1 or 1/10
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
2 cups (c)
49. Dividing Metric Units
50. micrometer
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
Divide the number of liters by 3.79
Milligram (1/1000th of a gram)