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