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