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