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