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