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