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