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