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