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