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