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