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