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