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