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