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