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