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