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