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