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