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