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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. The most common unit that is smaller than a gram is the
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
Milligram (1/1000th of a gram)
(c) 0.01 (hundredth)
Ml 10^-3 or 0.001 or 1/1 -000
2. Dividing Metric Units
3. Fluid Ounces and Milliliters
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 fl. oz = 29.57 mL
1/10th of a meter.
12 in.
4. Adding inches
Move the redix to the left as many 0's as being multiplied by
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.
16 ounces (oz)
5. 1 hour (hr)
3.79 L
60 minutes (min)
#ft. * 12 in./1 ft. = #(12) in.
Kilogram (1000 grams)
6. The most common larger unit of mass is the
52
Kilogram (1000 grams)
(da) 10 (ten)
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.
7. Cancelling units in Multi-step Conversions
8. A decimeter
M 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.
1 gal = 3.79 L
10 meters.
9. Gallons and Liters
1 gal = 3.79 L
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)
10. micrometer
Fluid ounces and milliliters - Gallons and liters
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
M 1
11. To convert fluid ounces to milliliters
12 months (mo)
#ft. * 12 in./1 ft. = #(12) in.
3 ft.
Multiply the number of fluid ounces by 29.57
12. To convert kilograms to pounds
Just as you can only add fractions that have the same denominator - you can only subtract fractions that have
2 cups (c)
Fluid ounces and milliliters - Gallons and liters
Multiply the number of kilograms 2.2
13. 1 in
Divide the number of liters by 3.79
2.54 cm
Multiply the number of ounces by 28.35
1
14. 1 quart (qt)
G 1
2 pints (p)
4 quarts (qt)
15. kilometer
Meter
Km 10^3 or 1 -000 or 1 -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.
Multiply the number of pounds by 0.4536
16. To convert inches to centimeters
16 ounces (oz)
Mm 10^-3 or 0.001 or 1/1 -000
Multiply the number of inches by 2.54
G 1
17. Subtracting inches
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.
Dg 10^-1 or 0.10 or 1/10
1 gal = 3.79 L
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.
18. hecto
Divide the number of centimeters by 2.54
(h) 100 (hundred)
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
Meter
19. Feet and Meters
3.79 L
Divide the number of liters by 3.79
12 in.
1 m = 3.28 ft
20. The U.S. Customary System
365 days (da)*
28 and 31
(da) 10 (ten)
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.
21. 1 pint (pt)
2 cups (c)
(c) 0.01 (hundredth)
Hl 10^2 or 100 or 100/1
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
22. Metric Measures of Mass and Weight
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.
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).
1 mi = 1.61 km
Km 10^3 or 1 -000 or 1 -000/1
23. To convert ounces to grams
Multiply
Cm 10^-2 or 0.01 or 1/100
Multiply the number of ounces by 28.35
1
24. Zeros to the right of both the decimal place and another significant digit
(k) 1 -000 (thousand)
Are significant
(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'.
1/10th of a meter.
25. meter
26. The Same Denominator
'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
Multiply the number of inches by 2.54
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.
You can add fractions only when they have
27. Every 4th year is a leap year. That year - 1 yr
Cm 10^-2 or 0.01 or 1/100
366 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.
28. The number of days in a month varies between
2.54 cm
28 and 31
Convert the mixed fractions to improper fractions. Add the resulting fractions.
4 quarts (qt)
29. Miles and Kilometers
Multiply the number of ounces by 28.35
Liter
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
1 mi = 1.61 km
30. To convert centimeters to inches
Cl 10^-2 or 0.01 or 1/100
(k) 1 -000 (thousand)
Divide the number of centimeters by 2.54
10 meters.
31. To subtract fractions that do not have a common denominator
Multiply the number of inches by 2.54
1 fl. oz = 29.57 mL
5280 ft.
Find a suitable common denominator for the fractions - Expand the fractions to have the common denominator and Subtract the fractions.
32. 1 quart (qt)
4 cups (c)
Division
7 days (da)
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
33. decimeter
Dm 10^-1 or 0.1 or 1/10
Are always significant
Multiply the number of meters by 3.28
#ft. * 12 in./1 ft. = #(12) in.
34. 1 week (wk)
Sixteenths - 1/16 + 15/16 = 1 in.
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
7 days (da)
1 m = 3.28 ft
35. 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
Going to smaller units mean going to bigger numbers - so multiply - going to bigger units mean going to smaller numbers - so divide
3.79 L
Ml 10^-3 or 0.001 or 1/1 -000
36. hectometer
Hm 10^2 or 100 or 100/1
Divide the number of kilometers by 1.61
16 ounces (oz)
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.
37. decameter
Dam 10^1 or 10 or 10/1
7 days (da)
Dal 10^1 or 10 or 10/1
Dag 10^1 or 10 or 10/1
38. hectogram
Divide the number of milliliters by 29.57
The basic unit of length adopted under the Systeme Younternational d'Unites (approximately 1.094 yards)
Hg 10^2 or 100 or 100/1
Dag 10^1 or 10 or 10/1
39. To convert feet to meters
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
1
Divide the number of feet by 3.28
Multiply the number of inches by 2.54
40. centi
Gram (g)
Hl 10^2 or 100 or 100/1
Divide the number of milliliters by 29.57
(c) 0.01 (hundredth)
41. 80 miles/hr to Meters/second
42. milli
3.79 L
(m) 0.001 (thousandth)
Mm 10^-3 or 0.001 or 1/1 -000
4 quarts (qt)
43. To subtract fractions that have a common denominator
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.
Divide
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
44. Big unit to Small unit
Multiply the number of ounces by 28.35
3.79 L
Multiply Big # Small # / 1 Big # = (Big Small) # / 1 = BigSmall #
Ml 10^-3 or 0.001 or 1/1 -000
45. Adding Proper Fractions That Do Not Have a Common Denominator
Divide the number of milliliters by 29.57
Sixteenths - 1/16 + 15/16 = 1 in.
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.
1 in = 2.54 cm
46. 1 pound (lb)
16 ounces (oz)
12 months (mo)
1 gal = 3.79 L
60 seconds (sec)
47. 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.
Kg 10^3 or 1 -000 or 1 -000/1
Subtract the numerators to get the numerator of the difference. Assign the common denominator to the difference. Reduce or simplify the result as necessary.
10 meters.
48. The next-larger unit from the meter is the
4 quarts (qt)
Liter
#ft. * 12 in./1 ft. = #(12) in.
Decimeter
49. metric ton
16 ounces (oz)
(d) 0.1 (tenth)
T 10^6 or 1 -000 -000 or 1 -000 -000/1
Hg 10^2 or 100 or 100/1
50. Younches and Centimeters
Mm 10^-3 or 0.001 or 1/1 -000
1 in = 2.54 cm
(1/1000th of a gram)
24 hours (hr)