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