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