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