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