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