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