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