When we perform the mathematical operations, such as addition, subtraction, division, multiplication etc, the error combination depends on the type of mathematical operation performed on physical quantities.

### 1. Error In Sum Of Two Quantities

Let ∆A and ∆B be the absolute errors in the two quantities A and B respectively, then

Hence, The maximum possible error in the sum of two quantities is equal to the sum of the absolute errors in the individual quantities.

### 2. Error In The Difference Of The Two Quantities

We consider the difference Z = A-B, then

Hence, the maximum error in the difference of the two quantities is equal to the sum of the absolute error in the individual quantities.

### 3. Error Of A Product

Let we consider the product Z = AB, then the error ∆Z in Z is given by

Hence, the maximum fractional error in the product of two quantities is equal to the sum of the fractional error in the individual quantities.

### 4. Error In The Division Or Quotient

Let we consider the quotient Z= A/B, then the error ∆Z in Z is given by

Hence, the maximum fractional error in the quotient of two quantities is equal to the sum of their individual fractional error.

### 5. Error In The Power Of A Quantities

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