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