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