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