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