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