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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. 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:
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
Significant Number
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
equals rate
2. It is important to realize that precision refers to
Micrometers and Verbiers
Rate times base equals percentage.
All repeating decimals to be added should be rounded to this level
the size of the smallest division on the scale
3. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
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
Whole numbers
FRACTIONAL PERCENTS 1% of 840
4. A larger number of decimal places means a smaller
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Probable error
Base (b)
Rate times base equals percentage.
5. 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
Relative Values
Five hundredths of an inch (one-half of one tenth of an inch)
To change a percent to a decimal
6. 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
Probable error
Micrometers and Verbiers
the size of the smallest division on the scale
7. 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.
The numerator of the fraction thus formed indicates
Hundredths
Relative Error
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 percent to a decimal
find 1 percent of the number and then find the fractional part.
Probable error divided by measured value = a decimal is obtained.
0.05 inch (five hundredths is one-half of one tenth).
9. After performing the' multiplication or division
All numbers should first be rounded off to the order of the least precise number
0
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
10. The more precise numbers are all rounded to the precision of the
Hundredths
Least precise number in the group to be combined
FRACTIONAL PERCENTS 1% of 840
All numbers should first be rounded off to the order of the least precise number
11. Is the part of the base determined by the rate.
rounded to the same degree of precision
The denominator of the fraction indicates the degree of precision
Micrometers and Verbiers
Percentage (p)
12. The maximum probable error is
Five hundredths of an inch (one-half of one tenth of an inch)
Whole numbers
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
0
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
FRACTIONAL PERCENTS 1% of 840
one half the size of the smallest division on the measuring instrument
The location of the decimal point
Measurement Accuracy
14. Depends upon the relative size of the probable error when compared with the quantity being measured.
The location of the decimal point
rounded to the same degree of precision
Measurement Accuracy
0
15. 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
precision and accuracy of the measurements
equals rate
The numerator of the fraction thus formed indicates
Significant Number
16. The accuracy of a measurement is often described in terms of the number of
The precision of the least precise addend
6% of 50 = ?
Significant digits used in expressing it.
decimals
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
0.05 inch (five hundredths is one-half of one tenth).
Probable error and the quantity being measured
Rate times base equals percentage.
decimal form
18. Can never be more precise than the least precise number in the calculation.
decimal form
Relative Error
A sum or difference
find 1 percent of the number and then find the fractional part.
19. To to find the percentage of a number when the base and rate are known.
Rate times base equals percentage.
The precision of the least precise addend
Relative Values
find 1 percent of the number and then find the fractional part.
20. Is the whole on which the rate operates.
The denominator of the fraction indicates the degree of precision
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
Base (b)
To find the rate when the base and percentage are known.
21. The precision of a sum is no greater than
Significant Number
To find the percentage when the base and rate are known.
one half the size of the smallest division on the measuring instrument
The precision of the least precise addend
22. Relative error is usually expressed as
To find the percentage when the base and rate are known.
divide the percentage by the rate
All numbers should first be rounded off to the order of the least precise number
Percent of error
23. The accuracy of a measurement is determined by the ________
Least precise number in the group to be combined
Relative Values
Percentage
Relative Error
24. The extra digit protects the answer from
The effects of multiple rounding
Begin with the first nonzero digit (counting from left to right) and end with the last digit
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
25. To flnd the bue when the rate and percentage are known
0
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.
divide the percentage by the rate
26. 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
A sum or difference
Five hundredths of an inch (one-half of one tenth of an inch)
0.05 inch (five hundredths is one-half of one tenth).
To find the rate when the base and percentage are known.
27. 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.
0
To find the rate when the base and percentage are known.
decimals
Percentage
28. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
equals rate
The denominator of the fraction indicates the degree of precision
find 1 percent of the number and then find the fractional part.
one half the size of the smallest division on the measuring instrument
29. 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.
The numerator of the fraction thus formed indicates
All repeating decimals to be added should be rounded to this level
Relative Values
Probable error and the quantity being measured
30. 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
To change a percent to a decimal
Significant Number
Hundredths
Percentage
31. Is the number of hundredths parts taken. This is the number followed by the percent sign.
Begin with the first nonzero digit (counting from left to right) and end with the last digit
The denominator of the fraction indicates the degree of precision
Rate (r)
A sum or difference
32. To add or subtract numbers of different orders
Hundredths
Base (b)
All numbers should first be rounded off to the order of the least precise number
Percentage
33. The precision of a number resulting from measurement depends upon
the number of decimal places
Relative Error
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Percentage (p)
34. The 'of' has the same meaning as it does in fractional examples - such as 1/4 of 16 = ?
6% of 50 = ?
Significant Number
Significant digits used in expressing it.
rounded to the same degree of precision
35. 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.
The concepts of precision and accuracy
The ordinary micrometer is capable of measuring accurately to
Relative Values
36. When a common fraction is used in recording the results of measurement
equals rate
The denominator of the fraction indicates the degree of precision
find 1 percent of the number and then find the fractional part.
Rate times base equals percentage.
37. 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.
Rate times base equals percentage.
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Whole numbers
Micrometers and Verbiers
38. 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.
Less precise number compared
one half the size of the smallest division on the measuring instrument
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
39. Percentage divided by base
equals rate
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 effects of multiple rounding
Micrometers and Verbiers
40. 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
decimals
0
Percent of error
41. 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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42. 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
decimals
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.
To find the percentage when the base and rate are known.
43. Common fractions are changed to percent by flrst expressmg them as
To change a percent to a decimal
decimals
FRACTIONAL PERCENTS 1% of 840
Begin with the first nonzero digit (counting from left to right) and end with the last digit
44. It can also be shown that the precision of a difference is no greater than the all numbers should first be rounded off to
Percent of error
Less precise number compared
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.
Begin with the first nonzero digit (counting from left to right) and end with the last digit
45. 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 precision of the least precise addend
To find the rate when the base and percentage 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.
46. How many hundredths we have - and therefore it indicates 'how many percent' we have.
rounded to the same degree of precision
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
find 1 percent of the number and then find the fractional part.
The numerator of the fraction thus formed indicates
47. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
find 1 percent of the number and then find the fractional part.
The numerator of the fraction thus formed indicates
The effects of multiple rounding
FRACTIONAL PERCENTS 1% of 840
48. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
6% of 50 = ?
The numerator of the fraction thus formed indicates
'percent' (per 100)
The concepts of precision and accuracy
49. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
Begin with the first nonzero digit (counting from left to right) and end with the last digit
6% of 50 = ?
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.
50. Percent is used in discussing
Relative Values
find 1 percent of the number and then find the fractional part.
decimal form
Five hundredths of an inch (one-half of one tenth of an inch)