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Test your basic knowledge |
CLEP General Mathematics: Percentage And Measurement
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Study First
Subjects
:
clep
,
math
,
measurement
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 word 'percent' is derived from Latin. It was originally 'per centum -' which means 'by the hundred.' Thus the statement is often made that 'percent' means
The denominator of the fraction indicates the degree of precision
Hundredths
Base (b)
6% of 50 = ?
2. To add or subtract numbers of different orders
0.05 inch (five hundredths is one-half of one tenth).
Significant digits used in expressing it.
All numbers should first be rounded off to the order of the least precise number
To change a percent to a decimal
3. The precision of a number resulting from measurement depends upon
Measurement Accuracy
The location of the decimal point
FRACTIONAL PERCENTS 1% of 840
the number of decimal places
4. Experience has shown that the best the average person can do with consistency is to decide whether a measurement is more or less than halfway between marks. The correct way to state this fact mathematically is to say that a measurement made with an i
Five hundredths of an inch (one-half of one tenth of an inch)
find 1 percent of the number and then find the fractional part.
0
0.05 inch (five hundredths is one-half of one tenth).
5. In a number such as 49.30 inches - it is reasonable to assume that the 0 in the hundredths place would not have been recorded at all if it were not a
Percent of error
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Significant Number
'percent' (per 100)
6. Percent is used in discussing
Five hundredths of an inch (one-half of one tenth of an inch)
Relative Values
precision and accuracy of the measurements
Probable error divided by measured value = a decimal is obtained.
7. The accuracy of a measurement is determined by the ________
Rate times base equals percentage.
Significant Number
Base (b)
Relative Error
8. To find the rate when the percentage and base are known
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
0.05 inch (five hundredths is one-half of one tenth).
Five hundredths of an inch (one-half of one tenth of an inch)
A sum or difference
9. The maximum probable error is found when the denominator of the fraction expressing the error ratio is divided into the numerator or
Percentage
0
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
Probable error divided by measured value = a decimal is obtained.
10. May be considered as special types of decimals (for example - 4 may be written as 4.00) and thus may be expressed interms of percentage.
Significant Number
'percent' (per 100)
Whole numbers
Case I-To find the percentage when the base and rate are known. Case II-To find the rate when the base andpercentage are known. Case III-To find the base when the percentage and rate are known.
11. Relative error is the ratio between the _________________. This ratio is simply the fraction formed by using the probable error as the numerator and the measurement itself as the denominator.
Rate times base equals percentage.
The precision of the least precise addend
FRACTIONAL PERCENTS 1% of 840
Probable error and the quantity being measured
12. To flnd the bue when the rate and percentage are known
The denominator of the fraction indicates the degree of precision
Percentage (p)
divide the percentage by the rate
Whole numbers
13. To to find the percentage of a number when the base and rate are known.
All numbers should first be rounded off to the order of the least precise number
the size of the smallest division on the scale
Rate times base equals percentage.
Percentage (p)
14. Percentage divided by base
rounded to the same degree of precision
Significant Number
equals rate
Percentage
15. Relative error is usually expressed as
divide the percentage by the rate
Percentage
Percent of error
All repeating decimals to be added should be rounded to this level
16. Closely associated with the study of decimals is a measuring instrument known as a micrometer.
the size of the smallest division on the scale
Micrometers and Verbiers
The effects of multiple rounding
Base (b)
17. Can never be more precise than the least precise number in the calculation.
A sum or difference
0
Rate (r)
decimal form
18. There are three cases that usually arise in dealing with percentage - as follows:
All numbers should first be rounded off to the order of the least precise number
Case I-To find the percentage when the base and rate are known. Case II-To find the rate when the base andpercentage are known. Case III-To find the base when the percentage and rate are known.
FRACTIONAL PERCENTS 1% of 840
To find the rate when the base and percentage are known.
19. Before adding or subtracting approximate numbers - they should be
Percent of error
Percentage (p)
Case I-To find the percentage when the base and rate are known. Case II-To find the rate when the base andpercentage are known. Case III-To find the base when the percentage and rate are known.
rounded to the same degree of precision
20. To find the percentage of a number - multiply the base by the rate. The rate must be changed from a percent to a decimal before multiplying can be done.
Rate times base equals percentage.
equals rate
To change a percent to a decimal
To find the percentage when the base and rate are known.
21. Common fractions are changed to percent by flrst expressmg them as
decimals
The concepts of precision and accuracy
To find the rate when the base and percentage are known.
The denominator of the fraction indicates the degree of precision
22. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
6% of 50 = ?
precision and accuracy of the measurements
Percentage
Significant digits used in expressing it.
23. It is possible to round off a repeating decimal at any desired point - the degree of precision desired should be determined and:
All repeating decimals to be added should be rounded to this level
divide the percentage by the rate
To change a percent to a decimal
The effects of multiple rounding
24. It is important to realize that precision refers to
Begin with the first nonzero digit (counting from left to right) and end with the last digit
Percentage
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
the size of the smallest division on the scale
25. Depends upon the relative size of the probable error when compared with the quantity being measured.
Measurement Accuracy
Rate (r)
Base (b)
Round the answer to the same number of significant digits as are shown in one of the original numbers. If one of the original factors has more significant digits than the other - round the more accurate number before multiplying. It should be rounded
26. In order to multiply or divide two approximate numbers having an equal number of significant digits
To find the rate when the base and percentage are known.
Percentage
Round the answer to the same number of significant digits as are shown in one of the original numbers. If one of the original factors has more significant digits than the other - round the more accurate number before multiplying. It should be rounded
Micrometers and Verbiers
27. How many hundredths we have - and therefore it indicates 'how many percent' we have.
The concepts of precision and accuracy
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
The numerator of the fraction thus formed indicates
equals rate
28. Has no bearing on the accuracy of the number. For example - 1.25 dollars represents exactly the same amount of money as 125 cents. These are equally accurate ways of representing the same quantity - despite the fact that the decimal point is placed d
The location of the decimal point
Percentage
Significant digits used in expressing it.
Probable error
29. A rule that is often used states that the significant digits in a number
To find the rate when the base and percentage are known.
Base (b)
Five hundredths of an inch (one-half of one tenth of an inch)
Begin with the first nonzero digit (counting from left to right) and end with the last digit
30. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
find 1 percent of the number and then find the fractional part.
The concepts of precision and accuracy
equals rate
Case I-To find the percentage when the base and rate are known. Case II-To find the rate when the base andpercentage are known. Case III-To find the base when the percentage and rate are known.
31. Is the whole on which the rate operates.
Base (b)
All numbers should first be rounded off to the order of the least precise number
Percent of error
find 1 percent of the number and then find the fractional part.
32. How much to round off must be decided in terms of
one half the size of the smallest division on the measuring instrument
precision and accuracy of the measurements
Whole numbers
decimal form
33. The precision of a sum is no greater than
6% of 50 = ?
The precision of the least precise addend
A sum or difference
Base (b)
34. The maximum probable error is
Relative Values
the size of the smallest division on the scale
Five hundredths of an inch (one-half of one tenth of an inch)
Least precise number in the group to be combined
35. To change a decimal to percent multiply the decimal by 100 and annex the percent sign (%). Since multiplying by 100 has the effect of moving the decimal point two places to the right - the rule is sometimes stated as follows:
0.05 inch (five hundredths is one-half of one tenth).
Micrometers and Verbiers
To find the percentage when the base and rate are known.
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
36. Is the number of hundredths parts taken. This is the number followed by the percent sign.
0.05 inch (five hundredths is one-half of one tenth).
Rate (r)
Probable error divided by measured value = a decimal is obtained.
'percent' (per 100)
37. After performing the' multiplication or division
Hundredths
0
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Relative Error
38. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
The concepts of precision and accuracy
find 1 percent of the number and then find the fractional part.
The location of the decimal point
Relative Values
39. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
Five hundredths of an inch (one-half of one tenth of an inch)
The effects of multiple rounding
the number of decimal places
one half the size of the smallest division on the measuring instrument
40. Is the part of the base determined by the rate.
Round the answer to the same number of significant digits as are shown in one of the original numbers. If one of the original factors has more significant digits than the other - round the more accurate number before multiplying. It should be rounded
0
Percentage (p)
Micrometers and Verbiers
41. Drop the percent sign and divide the number by 100. Mechanically - the decimal point is simply shifted two places to the left and the percent sign is dropped.
0.05 inch (five hundredths is one-half of one tenth).
equals rate
Percent of error
To change a percent to a decimal
42. The extra digit protects the answer from
The effects of multiple rounding
'percent' (per 100)
Rate (r)
To find the percentage when the base and rate are known.
43. Since hundredths were used so frequently - the decimal point was dropped and the symbol % was placed after the number and read
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44. The 'of' has the same meaning as it does in fractional examples - such as 1/4 of 16 = ?
Hundredths
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Rate times base equals percentage.
6% of 50 = ?
45. The accuracy of a measurement is often described in terms of the number of
Relative Error
rounded to the same degree of precision
find 1 percent of the number and then find the fractional part.
Significant digits used in expressing it.
46. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
Round the answer to the same number of significant digits as are shown in one of the original numbers. If one of the original factors has more significant digits than the other - round the more accurate number before multiplying. It should be rounded
FRACTIONAL PERCENTS 1% of 840
precision and accuracy of the measurements
A sum or difference
47. The more precise numbers are all rounded to the precision of the
All numbers should first be rounded off to the order of the least precise number
Five hundredths of an inch (one-half of one tenth of an inch)
Least precise number in the group to be combined
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
48. Can be a significant digit if it is not the first digit in the number because it is a part of the number specifying how many hundredths are in the measurement.
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
All numbers should first be rounded off to the order of the least precise number
the size of the smallest division on the scale
0
49. One-thousandth of an inch. One-thousandth of an inch is about the thickness of a human hair or a thin sheet of paper.
Significant Number
The ordinary micrometer is capable of measuring accurately to
The location of the decimal point
To find the rate when the base and percentage are known.
50. It can also be shown that the precision of a difference is no greater than the all numbers should first be rounded off to
To change a percent to a decimal
Less precise number compared
The concepts of precision and accuracy
Hundredths