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