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