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