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