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