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