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