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Test your basic knowledge |
CLEP General Mathematics: Percentage And Measurement
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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. 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.
To find the percentage when the base and rate are known.
The numerator of the fraction thus formed indicates
Measurement Accuracy
FRACTIONAL PERCENTS 1% of 840
2. To to find the percentage of a number when the base and rate are known.
precision and accuracy of the measurements
Rate times base equals percentage.
decimal form
The effects of multiple rounding
3. It is possible to round off a repeating decimal at any desired point - the degree of precision desired should be determined and:
To find the rate when the base and percentage are known.
The concepts of precision and accuracy
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.
All repeating decimals to be added should be rounded to this level
4. A rule that is often used states that the significant digits in a number
Begin with the first nonzero digit (counting from left to right) and end with the last digit
Micrometers and Verbiers
Percent of error
Significant digits used in expressing it.
5. When it is necessary to use a percent in computation - to avoid confusion the number is written in its by first expressing it as a fraction with 100 as the denominator - Since percent means hundredths - any decimal may be changed to percent
Hundredths
decimal form
Significant Number
Whole numbers
6. 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:
All numbers should first be rounded off to the order of the least precise number
Probable error divided by measured value = a decimal is obtained.
decimals
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
7. The precision of a number resulting from measurement depends upon
Measurement Accuracy
divide the percentage by the rate
the number of decimal places
the size of the smallest division on the scale
8. The more precise numbers are all rounded to the precision of the
Least precise number in the group to be combined
Measurement Accuracy
Less precise number compared
The concepts of precision and accuracy
9. When a common fraction is used in recording the results of measurement
FRACTIONAL PERCENTS 1% of 840
Significant Number
'percent' (per 100)
The denominator of the fraction indicates the degree of precision
10. The maximum probable error is
Five hundredths of an inch (one-half of one tenth of an inch)
Measurement Accuracy
find 1 percent of the number and then find the fractional part.
0
11. A larger number of decimal places means a smaller
Rate (r)
Probable error
rounded to the same degree of precision
To find the rate when the base and percentage are known.
12. Is the part of the base determined by the rate.
Probable error divided by measured value = a decimal is obtained.
Significant digits used in expressing it.
Percentage (p)
Percent of error
13. Is the whole on which the rate operates.
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.
Base (b)
FRACTIONAL PERCENTS 1% of 840
The concepts of precision and accuracy
14. The 'of' has the same meaning as it does in fractional examples - such as 1/4 of 16 = ?
Whole numbers
Percentage
6% of 50 = ?
All repeating decimals to be added should be rounded to this level
15. To flnd the bue when the rate and percentage are known
A sum or difference
The effects of multiple rounding
divide the percentage by the rate
Base (b)
16. 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.
Rate (r)
Probable error
All numbers should first be rounded off to the order of the least precise number
To change a percent to a decimal
17. The extra digit protects the answer from
decimal form
0.05 inch (five hundredths is one-half of one tenth).
Probable error divided by measured value = a decimal is obtained.
The effects of multiple rounding
18. Closely associated with the study of decimals is a measuring instrument known as a micrometer.
'percent' (per 100)
To find the rate when the base and percentage are known.
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Micrometers and Verbiers
19. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
The precision of the least precise addend
Relative Error
one half the size of the smallest division on the measuring instrument
The concepts of precision and accuracy
20. 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.
Least precise number in the group to be combined
Probable error and the quantity being measured
Relative Error
the size of the smallest division on the scale
21. There are three cases that usually arise in dealing with percentage - as follows:
The location of the decimal point
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.
Begin with the first nonzero digit (counting from left to right) and end with the last digit
6% of 50 = ?
22. The base corresponds to the multiplicand - the rate corresponds to the multiplier - and the percentage corresponds to the product...We then divide the product (percentage) by the multiplicand (base) to get the other factor (rate).
decimals
Whole numbers
The concepts of precision and accuracy
To find the rate when the base and percentage are known.
23. Before adding or subtracting approximate numbers - they should be
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.
Significant Number
rounded to the same degree of precision
decimals
24. In order to multiply or divide two approximate numbers having an equal number of significant digits
find 1 percent of the number and then find the fractional part.
one half the size of the smallest division on the measuring instrument
All repeating decimals to be added should be rounded to this level
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
25. Common fractions are changed to percent by flrst expressmg them as
Percentage
decimals
rounded to the same degree of precision
0.05 inch (five hundredths is one-half of one tenth).
26. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
The denominator of the fraction indicates the degree of precision
'percent' (per 100)
The concepts of precision and accuracy
FRACTIONAL PERCENTS 1% of 840
27. The precision of a sum is no greater than
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.
precision and accuracy of the measurements
The precision of the least precise addend
To change a percent to a decimal
28. The accuracy of a measurement is determined by the ________
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
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
Least precise number in the group to be combined
Relative Error
29. The accuracy of a measurement is often described in terms of the number of
Significant digits used in expressing it.
decimal form
Least precise number in the group to be combined
To find the percentage when the base and rate are known.
30. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
Five hundredths of an inch (one-half of one tenth of an inch)
rounded to the same degree of precision
find 1 percent of the number and then find the fractional part.
To find the percentage when the base and rate are known.
31. 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
Begin with the first nonzero digit (counting from left to right) and end with the last digit
precision and accuracy of the measurements
Hundredths
Five hundredths of an inch (one-half of one tenth of an inch)
32. Is the number of hundredths parts taken. This is the number followed by the percent sign.
Rate (r)
Whole numbers
A sum or difference
Least precise number in the group to be combined
33. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
Probable error divided by measured value = a decimal is obtained.
FRACTIONAL PERCENTS 1% of 840
find 1 percent of the number and then find the fractional part.
precision and accuracy of the measurements
34. Depends upon the relative size of the probable error when compared with the quantity being measured.
Hundredths
Measurement Accuracy
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.
0
35. One-thousandth of an inch. One-thousandth of an inch is about the thickness of a human hair or a thin sheet of paper.
6% of 50 = ?
equals rate
Percent of error
The ordinary micrometer is capable of measuring accurately to
36. How many hundredths we have - and therefore it indicates 'how many percent' we have.
find 1 percent of the number and then find the fractional part.
Rate times base equals percentage.
The numerator of the fraction thus formed indicates
Significant Number
37. 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
Percentage
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
The location of the decimal point
Probable error
38. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
the size of the smallest division on the scale
The ordinary micrometer is capable of measuring accurately to
Micrometers and Verbiers
Percentage
39. To add or subtract numbers of different orders
Relative Values
All numbers should first be rounded off to the order of the least precise number
Hundredths
Rate (r)
40. After performing the' multiplication or division
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Rate (r)
Whole numbers
Base (b)
41. How much to round off must be decided in terms of
precision and accuracy of the measurements
Base (b)
Whole numbers
Micrometers and Verbiers
42. 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
the size of the smallest division on the scale
Five hundredths of an inch (one-half of one tenth of an inch)
Significant Number
decimal form
43. 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.
To find the percentage when the base and rate are known.
0
Rate (r)
The effects of multiple rounding
44. 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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45. It is important to realize that precision refers to
decimal form
To find the rate when the base and percentage are known.
Less precise number compared
the size of the smallest division on the scale
46. Relative error is usually expressed as
Base (b)
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
6% of 50 = ?
Percent of error
47. It can also be shown that the precision of a difference is no greater than the all numbers should first be rounded off to
The numerator of the fraction thus formed indicates
Less precise number compared
The concepts of precision and accuracy
Micrometers and Verbiers
48. To find the rate when the percentage and base are known
Percent of error
Relative Values
The location of the decimal point
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
49. The maximum probable error is found when the denominator of the fraction expressing the error ratio is divided into the numerator or
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.
Percentage (p)
Micrometers and Verbiers
50. Percent is used in discussing
decimal form
To change a percent to a decimal
Relative Values
The concepts of precision and accuracy
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