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