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