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