Error and magnitude can be defined as the difference between the approximate and absolute value that means there are many situations in which the measurement of the value is not absolute due to some instrumental problems, so obtained value is approximate value, in place of absolute value for measuring the difference there are some types of methods, they give the difference between absolute and approximate value that is known as error. It helps students of grade IX to understand the difference between magnitudes of exact and approximate value that is defined as error.
There are basically two types of errors that are relative error and other is absolute error.
Absolute error: This type of error is defined as the difference between the magnitude of exact and approximate value .This is denoted as e (absolute error) = | m – m approx |.
Where ‘m’ and ‘m approx’ are the magnitude of exact and approximate values respectively and ‘e’ denotes the absolute error.
Relative error: When absolute error is divided by the magnitude of the exact value or absolute value is known as relative error, it will be denoted as e relative = | m – m approx | / m,
Or e relative = e absolute / m.
Percentage error: Percentage error is defined as the relative error, it is multiplied by 100 or the percentage error is a relative error that is described in form of per 100.
It is denoted as e % = e relative * 100 = (| m – m approx | / m) * 100.
Let us take an example,
Exact value is 90 and approximate value is 89.6 then,
Absolute error = 90 – 89.4 = 0.6,
Relative error = 0.6 / 90,
% error = (0.6 / 90) * 100,
In the next session we are going to discuss Basic constructions.
There are basically two types of errors that are relative error and other is absolute error.
Absolute error: This type of error is defined as the difference between the magnitude of exact and approximate value .This is denoted as e (absolute error) = | m – m approx |.
Where ‘m’ and ‘m approx’ are the magnitude of exact and approximate values respectively and ‘e’ denotes the absolute error.
Relative error: When absolute error is divided by the magnitude of the exact value or absolute value is known as relative error, it will be denoted as e relative = | m – m approx | / m,
Or e relative = e absolute / m.
Percentage error: Percentage error is defined as the relative error, it is multiplied by 100 or the percentage error is a relative error that is described in form of per 100.
It is denoted as e % = e relative * 100 = (| m – m approx | / m) * 100.
Let us take an example,
Exact value is 90 and approximate value is 89.6 then,
Absolute error = 90 – 89.4 = 0.6,
Relative error = 0.6 / 90,
% error = (0.6 / 90) * 100,
In the next session we are going to discuss Basic constructions.
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