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