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