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