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