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