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