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