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