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