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