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