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. To find the rate when the percentage and base are known
'percent' (per 100)
Probable error divided by measured value = a decimal is obtained.
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.
2. Closely associated with the study of decimals is a measuring instrument known as a micrometer.
rounded to the same degree of precision
decimal form
Micrometers and Verbiers
All numbers should first be rounded off to the order of the least precise number
3. To flnd the bue when the rate and percentage are known
divide the percentage by the rate
FRACTIONAL PERCENTS 1% of 840
The location of the decimal point
The denominator of the fraction indicates the degree of precision
4. The probable error in any measurement is how precisely the instrument is marked - The precision of a measurement depends upon
Percentage
precision and accuracy of the measurements
The numerator of the fraction thus formed indicates
one half the size of the smallest division on the measuring instrument
5. FRACTIONAL PERCENTS.-A fractional percent represents a part of 1 percent.
0
find 1 percent of the number and then find the fractional part.
Micrometers and Verbiers
All repeating decimals to be added should be rounded to this level
6. How much to round off must be decided in terms of
Percent of error
Percentage
precision and accuracy of the measurements
Base (b)
7. A larger number of decimal places means a smaller
Percentage (p)
Probable error
Least precise number in the group to be combined
equals rate
8. The more precise numbers are all rounded to the precision of the
All numbers should first be rounded off to the order of the least precise number
Least precise number in the group to be combined
0
Micrometers and Verbiers
9. 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
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
decimal form
decimals
10. Form the basis for the rules which govern calculation with approximate numbers (numbers resulting from measurement).
The concepts of precision and accuracy
Significant digits used in expressing it.
'percent' (per 100)
All numbers should first be rounded off to the order of the least precise number
11. One-thousandth of an inch. One-thousandth of an inch is about the thickness of a human hair or a thin sheet of paper.
rounded to the same degree of precision
0
The ordinary micrometer is capable of measuring accurately to
All repeating decimals to be added should be rounded to this level
12. When a common fraction is used in recording the results of measurement
The denominator of the fraction indicates the degree of precision
'percent' (per 100)
The ordinary micrometer is capable of measuring accurately to
one half the size of the smallest division on the measuring instrument
13. How many hundredths we have - and therefore it indicates 'how many percent' we have.
'percent' (per 100)
The numerator of the fraction thus formed indicates
0.05 inch (five hundredths is one-half of one tenth).
Percentage (p)
14. 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:
precision and accuracy of the measurements
The denominator of the fraction indicates the degree of precision
Percentage (p)
To change a decimal to percent - move the decimal point two places to the right and annex the percent sign.
15. Relative error is usually expressed as
Significant 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.
rounded to the same degree of precision
Percent of error
16. The extra digit protects the answer from
Probable error
The effects of multiple rounding
Significant digits used in expressing it.
The numerator of the fraction thus formed indicates
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
find 1 percent of the number and then find the fractional part.
decimal form
Begin with the first nonzero digit (counting from left to right) and end with the last digit
The effects of multiple rounding
18. It is important to realize that precision refers to
Divide the percentage by the base. Write the quotient in the decimal form first - and finally as a percent.
Percent of error
the size of the smallest division on the scale
Five hundredths of an inch (one-half of one tenth of an inch)
19. 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.
Significant digits used in expressing it.
'percent' (per 100)
divide the percentage by the rate
20. To to find the percentage of a number when the base and rate are known.
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 concepts of precision and accuracy
Rate times base equals percentage.
Base (b)
21. Percentage divided by base
All numbers should first be rounded off to the order of the least precise number
equals rate
The effects of multiple rounding
Least precise number in the group to be combined
22. Since hundredths were used so frequently - the decimal point was dropped and the symbol % was placed after the number and read
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
23. 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 find the percentage when the base and rate are known.
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
equals rate
Measurement Accuracy
24. The precision of a number resulting from measurement depends upon
the number of decimal places
Begin with the first nonzero digit (counting from left to right) and end with the last digit
rounded to the same degree of precision
Five hundredths of an inch (one-half of one tenth of an inch)
25. 0.01 X 840 = 8.40 Therefore - 1/4% of 840 = 8.40 x 1/4 = 2.10
FRACTIONAL PERCENTS 1% of 840
precision and accuracy of the measurements
Significant digits used in expressing it.
Measurement Accuracy
26. Is the part of the base determined by the rate.
Percentage (p)
All numbers should first be rounded off to the order of the least precise number
Relative Error
Base (b)
27. A rule that is often used states that the significant digits in a number
The ordinary micrometer is capable of measuring accurately to
Begin with the first nonzero digit (counting from left to right) and end with the last digit
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 effects of multiple rounding
28. Percent is used in discussing
0.05 inch (five hundredths is one-half of one tenth).
Significant Number
Relative Values
Base (b)
29. The maximum probable error is found when the denominator of the fraction expressing the error ratio is divided into the numerator or
Least precise number in the group to be combined
Measurement Accuracy
The concepts of precision and accuracy
Probable error divided by measured value = a decimal is obtained.
30. Common fractions are changed to percent by flrst expressmg them as
decimals
Rate times base equals percentage.
find 1 percent of the number and then find the fractional part.
precision and accuracy of the measurements
31. It can also be shown that the precision of a difference is no greater than the all numbers should first be rounded off to
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.
Less precise number compared
rounded to the same degree of precision
32. The precision of a sum is no greater than
Relative Values
The effects of multiple rounding
The precision of the least precise addend
Begin with the first nonzero digit (counting from left to right) and end with the last digit
33. Is the whole on which the rate operates.
Micrometers and Verbiers
Percentage
Base (b)
0
34. The accuracy of a measurement is determined by the ________
Relative Error
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).
A sum or difference
35. In order to multiply or divide two approximate numbers having an equal number of significant digits
To find the percentage when the base and rate are known.
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
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Significant digits used in expressing it.
36. 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.
Probable error and the quantity being measured
equals rate
Begin with the first nonzero digit (counting from left to right) and end with the last digit
To change a percent to a decimal
37. 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).
divide the percentage by the rate
0
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
38. 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
Hundredths
Significant Number
decimals
Measurement Accuracy
39. The maximum probable error is
Five hundredths of an inch (one-half of one tenth of an inch)
Probable error divided by measured value = a decimal is obtained.
Significant Number
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.
Probable error and the quantity being measured
Percent of error
The denominator of the fraction indicates the degree of precision
Whole numbers
41. Before adding or subtracting approximate numbers - they should be
Hundredths
find 1 percent of the number and then find the fractional part.
Begin with the first nonzero digit (counting from left to right) and end with the last digit
rounded to the same degree of precision
42. It is possible to round off a repeating decimal at any desired point - the degree of precision desired should be determined and:
The precision of the least precise addend
equals rate
Percentage
All repeating decimals to be added should be rounded to this level
43. Deals with the group of decimal fractions whose denominators are 100-that is fractions of two decimal places.
decimal form
Percentage
decimals
Relative Error
44. 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.
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 of error
0
To find the percentage when the base and rate are known.
45. 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.
0
find 1 percent of the number and then find the fractional part.
Whole numbers
divide the percentage by the rate
46. The accuracy of a measurement is often described in terms of the number of
'percent' (per 100)
FRACTIONAL PERCENTS 1% of 840
Significant digits used in expressing it.
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
47. After performing the' multiplication or division
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
To change a percent to a decimal
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
All repeating decimals to be added should be rounded to this level
48. To add or subtract numbers of different orders
Round the result to the same number of significant digits as are shown in the less accurate of the original factors.
Base (b)
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
49. Can never be more precise than the least precise number in the calculation.
Hundredths
A sum or difference
The effects of multiple rounding
decimal form
50. 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
Hundredths
FRACTIONAL PERCENTS 1% of 840
'percent' (per 100)