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