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CLEP General Mathematics: Percentage And Measurement

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. The extra digit protects the answer from
Rate times base equals percentage.
the number of decimal places
The ordinary micrometer is capable of measuring accurately to
The effects of multiple rounding

2. When a common fraction is used in recording the results of measurement
The denominator of the fraction indicates the degree of precision
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
All repeating decimals to be added should be rounded to this level

3. Is the whole on which the rate operates.
decimal form
All repeating decimals to be added should be rounded to this level
Base (b)
The concepts of precision and accuracy

4. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
To change a percent to a decimal
Percentage
Significant digits used in expressing it.
Relative Values

5. After performing the' multiplication or division
Relative Error
Probable error and the quantity being measured
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.

6. The accuracy of a measurement is determined by the ________
Probable error
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Rate (r)
Relative Error

7. Relative error is usually expressed as
Percent of error
To find the rate when the base and percentage are known.
divide the percentage by the rate
Significant digits used in expressing it.

8. Depends upon the relative size of the probable error when compared with the quantity being measured.
The denominator of the fraction indicates the degree of precision
decimals
Measurement Accuracy
6% of 50 = ?

9. 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.
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
To find the percentage when the base and rate are known.
The concepts of precision and accuracy
Probable error and the quantity being measured

10. To to find the percentage of a number when the base and rate are known.
FRACTIONAL PERCENTS 1% of 840
0
Rate times base equals percentage.
the number of decimal places

11. Percent is used in discussing
FRACTIONAL PERCENTS 1% of 840
Percentage (p)
Relative Values
decimal form

12. The maximum probable error is found when the denominator of the fraction expressing the error ratio is divided into the numerator or
To find the rate when the base and percentage are known.
Probable error divided by measured value = a decimal is obtained.
Less precise number compared
Micrometers and Verbiers

13. 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
the number of decimal places
Base (b)
0

14. 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
Relative Error
Begin with the first nonzero digit (counting from left to right) and end with the last digit
the size of the smallest division on the scale
Hundredths

15. 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
6% of 50 = ?
Least precise number in the group to be combined
Significant Number

16. One-thousandth of an inch. One-thousandth of an inch is about the thickness of a human hair or a thin sheet of paper.
0.05 inch (five hundredths is one-half of one tenth).
The numerator of the fraction thus formed indicates
Micrometers and Verbiers
The ordinary micrometer is capable of measuring accurately to

17. How much to round off must be decided in terms of
All repeating decimals to be added should be rounded to this level
Relative Error
precision and accuracy of the measurements
The denominator of the fraction indicates the degree of precision

18. To add or subtract numbers of different orders
decimals
0.05 inch (five hundredths is one-half of one tenth).
find 1 percent of the number and then find the fractional part.
All numbers should first be rounded off to the order of the least precise number

19. Before adding or subtracting approximate numbers - they should be
rounded to the same degree of precision
Begin with the first nonzero digit (counting from left to right) and end with the last digit
decimals
Significant Number

20. To find the rate when the percentage and base are known
0.05 inch (five hundredths is one-half of one tenth).
decimal form
Begin with the first nonzero digit (counting from left to right) and end with the last digit
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.

21. The precision of a number resulting from measurement depends upon
one half the size of the smallest division on the measuring instrument
the number of decimal places
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.

22. A larger number of decimal places means a smaller
Probable error
0.05 inch (five hundredths is one-half of one tenth).
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
The location of the decimal point

23. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
To find the percentage when the base and rate are known.
decimal form
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

24. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
To find the rate when the base and percentage are known.
find 1 percent of the number and then find the fractional part.
The concepts of precision and accuracy
one half the size of the smallest division on the measuring instrument

25. 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.
Base (b)
6% of 50 = ?
Begin with the first nonzero digit (counting from left to right) and end with the last digit
Whole numbers

26. Is the number of hundredths parts taken. This is the number followed by the percent sign.
Rate (r)
the size of the smallest division on the scale
Probable error divided by measured value = a decimal is obtained.
decimals

27. 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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28. 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
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.
decimal form
0

29. 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 effects of multiple rounding
The location of the decimal point
All repeating decimals to be added should be rounded to this level
rounded to the same degree of precision

30. 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
Relative Error
The precision of the least precise addend
Significant Number
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

31. It is important to realize that precision refers to
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
the size of the smallest division on the scale
decimal form
Significant Number

32. The more precise numbers are all rounded to the precision of the
Base (b)
Five hundredths of an inch (one-half of one tenth of an inch)
find 1 percent of the number and then find the fractional part.
Least precise number in the group to be combined

33. The maximum probable error is
The numerator of the fraction thus formed indicates
6% of 50 = ?
0.05 inch (five hundredths is one-half of one tenth).
Five hundredths of an inch (one-half of one tenth of an inch)

34. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
0.05 inch (five hundredths is one-half of one tenth).
FRACTIONAL PERCENTS 1% of 840
find 1 percent of the number and then find the fractional part.
Five hundredths of an inch (one-half of one tenth of an inch)

35. 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.
To find the percentage when the base and rate are known.
Percentage (p)
A sum or difference
0

36. There are three cases that usually arise in dealing with percentage - as follows:
The denominator of the fraction indicates the degree of precision
find 1 percent of the number and then find the fractional part.
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 numerator of the fraction thus formed indicates

37. The 'of' has the same meaning as it does in fractional examples - such as 1/4 of 16 = ?
Percent of error
decimals
0.05 inch (five hundredths is one-half of one tenth).
6% of 50 = ?

38. Can never be more precise than the least precise number in the calculation.
A sum or difference
decimals
FRACTIONAL PERCENTS 1% of 840
0.05 inch (five hundredths is one-half of one tenth).

39. 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
The denominator of the fraction indicates the degree of precision
Significant Number
Begin with the first nonzero digit (counting from left to right) and end with the last digit

40. Is the part of the base determined by the rate.
Percentage (p)
The precision of the least precise addend
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.

41. 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.
'percent' (per 100)
The numerator of the fraction thus formed indicates
The denominator of the fraction indicates the degree of precision
To change a percent to a decimal

42. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
The effects of multiple rounding
equals rate
A sum or difference
FRACTIONAL PERCENTS 1% of 840

43. Common fractions are changed to percent by flrst expressmg them as
decimals
Percentage
A sum or difference
Percentage (p)

44. 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.
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.
equals rate

45. Closely associated with the study of decimals is a measuring instrument known as a micrometer.
The effects of multiple rounding
Hundredths
divide the percentage by the rate
Micrometers and Verbiers

46. How many hundredths we have - and therefore it indicates 'how many percent' we have.
Probable error
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
Significant digits used in expressing it.
The numerator of the fraction thus formed indicates

47. 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
Rate (r)
Significant digits used in expressing it.
0.05 inch (five hundredths is one-half of one tenth).
To change a percent to a decimal

48. 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:
find 1 percent of the number and then find the fractional part.
Rate times base equals percentage.
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

49. To flnd the bue when the rate and percentage are known
To change a percent to a decimal
Micrometers and Verbiers
The location of the decimal point
divide the percentage by the rate

50. The precision of a sum is no greater than
The precision of the least precise addend
precision and accuracy of the measurements
The location of the decimal point
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.