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