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