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