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