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