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