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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. 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.
FRACTIONAL PERCENTS 1% of 840
To find the percentage when the base and rate are known.
The concepts of precision and accuracy
find 1 percent of the number and then find the fractional part.
2. 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
The precision of the least precise addend
Probable error and the quantity being measured
The location of the decimal point
3. 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
The effects of multiple rounding
Rate times base equals percentage.
Micrometers and Verbiers
4. To flnd the bue when the rate and percentage are known
decimal form
divide the percentage by the rate
equals rate
Begin with the first nonzero digit (counting from left to right) and end with the last digit
5. The precision of a number resulting from measurement depends upon
Probable error and the quantity being measured
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
equals rate
the number of decimal places
6. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
decimal form
FRACTIONAL PERCENTS 1% of 840
The location of the decimal point
The effects of multiple rounding
7. 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
the size of the smallest division on the scale
find 1 percent of the number and then find the fractional part.
To change a percent to a decimal
8. The accuracy of a measurement is determined by the ________
FRACTIONAL PERCENTS 1% of 840
6% of 50 = ?
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Relative Error
9. The precision of a sum is no greater than
find 1 percent of the number and then find the fractional part.
To find the rate when the base and percentage are known.
The precision of the least precise addend
Micrometers and Verbiers
10. 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
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.
FRACTIONAL PERCENTS 1% of 840
precision and accuracy of the measurements
decimal form
11. 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 divided by measured value = a decimal is obtained.
A sum or difference
Probable error and the quantity being measured
FRACTIONAL PERCENTS 1% of 840
12. Before adding or subtracting approximate numbers - they should be
Micrometers and Verbiers
FRACTIONAL PERCENTS 1% of 840
0.05 inch (five hundredths is one-half of one tenth).
rounded to the same degree of precision
13. The accuracy of a measurement is often described in terms of the number of
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.
Significant digits used in expressing it.
Less precise number compared
14. There are three cases that usually arise in dealing with percentage - as follows:
Probable error and the quantity being measured
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.
Micrometers and Verbiers
one half the size of the smallest division on the measuring instrument
15. The extra digit protects the answer from
The effects of multiple rounding
A sum or difference
'percent' (per 100)
Percent of error
16. Percent is used in discussing
Percent of error
The effects of multiple rounding
Relative Values
0.05 inch (five hundredths is one-half of one tenth).
17. A rule that is often used states that the significant digits in a number
To change a percent to a decimal
The ordinary micrometer is capable of measuring accurately to
Measurement Accuracy
Begin with the first nonzero digit (counting from left to right) and end with the last digit
18. The maximum probable error is
equals rate
Five hundredths of an inch (one-half of one tenth of an inch)
The concepts of precision and accuracy
Least precise number in the group to be combined
19. After performing the' multiplication or division
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.
Relative Error
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
20. Can never be more precise than the least precise number in the calculation.
The numerator of the fraction thus formed indicates
The concepts of precision and accuracy
FRACTIONAL PERCENTS 1% of 840
A sum or difference
21. How much to round off must be decided in terms of
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 of error
precision and accuracy of the measurements
Probable error
22. The maximum probable error is found when the denominator of the fraction expressing the error ratio is divided into the numerator or
the number of decimal places
Rate (r)
divide the percentage by the rate
Probable error divided by measured value = a decimal is obtained.
23. Depends upon the relative size of the probable error when compared with the quantity being measured.
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
Measurement Accuracy
the size of the smallest division on the scale
'percent' (per 100)
24. Is the number of hundredths parts taken. This is the number followed by the percent sign.
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)
Least precise number in the group to be combined
one half the size of the smallest division on the measuring instrument
25. 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 effects of multiple rounding
Hundredths
The location of the decimal point
Percentage
26. It is important to realize that precision refers to
Percent of error
Base (b)
Percentage (p)
the size of the smallest division on the scale
27. To to find the percentage of a number when the base and rate are known.
Relative Error
Probable error divided by measured value = a decimal is obtained.
Probable error and the quantity being measured
Rate times base equals percentage.
28. The 'of' has the same meaning as it does in fractional examples - such as 1/4 of 16 = ?
6% of 50 = ?
0.05 inch (five hundredths is one-half of one tenth).
'percent' (per 100)
Measurement Accuracy
29. 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.
divide the percentage by the rate
The denominator of the fraction indicates the degree of precision
Measurement Accuracy
30. 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
Probable error
Hundredths
FRACTIONAL PERCENTS 1% of 840
Begin with the first nonzero digit (counting from left to right) and end with the last digit
31. 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 size of the smallest division on the scale
To find the percentage when the base and rate are known.
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)
32. 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.
The concepts of precision and accuracy
Significant digits used in expressing it.
Significant Number
33. It is possible to round off a repeating decimal at any desired point - the degree of precision desired should be determined and:
decimal form
To find the rate when the base and percentage are known.
6% of 50 = ?
All repeating decimals to be added should be rounded to this level
34. Is the part of the base determined by the rate.
The precision of the least precise addend
To change a percent to a decimal
rounded to the same degree of precision
Percentage (p)
35. Since hundredths were used so frequently - the decimal point was dropped and the symbol % was placed after the number and read
36. Percentage divided by base
The effects of multiple rounding
equals rate
To find the percentage when the base and rate are known.
Significant digits used in expressing it.
37. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
Percentage
Significant digits used in expressing it.
0.05 inch (five hundredths is one-half of one tenth).
Hundredths
38. The more precise numbers are all rounded to the precision of the
the size of the smallest division on the scale
To change a percent to a decimal
precision and accuracy of the measurements
Least precise number in the group to be combined
39. To add or subtract numbers of different orders
A sum or difference
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
All numbers should first be rounded off to the order of the least precise number
40. One-thousandth of an inch. One-thousandth of an inch is about the thickness of a human hair or a thin sheet of paper.
The concepts of precision and accuracy
The ordinary micrometer is capable of measuring accurately to
decimals
The numerator of the fraction thus formed indicates
41. 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.
the number of decimal places
0
Least precise number in the group to be combined
The ordinary micrometer is capable of measuring accurately to
42. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
'percent' (per 100)
0.05 inch (five hundredths is one-half of one tenth).
equals rate
one half the size of the smallest division on the measuring instrument
43. 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
Percent of error
A sum or difference
0.05 inch (five hundredths is one-half of one tenth).
Percentage
44. When a common fraction is used in recording the results of measurement
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 denominator of the fraction indicates the degree of precision
The precision of the least precise addend
Least precise number in the group to be combined
45. A larger number of decimal places means a smaller
Percentage (p)
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
Measurement Accuracy
46. Closely associated with the study of decimals is a measuring instrument known as a micrometer.
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.
Micrometers and Verbiers
0.05 inch (five hundredths is one-half of one tenth).
47. Relative error is usually expressed as
0.05 inch (five hundredths is one-half of one tenth).
divide the percentage by the rate
Percent of error
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
48. In order to multiply or divide two approximate numbers having an equal number of significant digits
Percent of error
one half the size of the smallest division on the measuring instrument
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 and the quantity being measured
49. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
The concepts of precision and accuracy
The precision of the least precise addend
Relative Error
All repeating decimals to be added should be rounded to this level
50. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
The precision of the least precise addend
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
find 1 percent of the number and then find the fractional part.