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hello sir

sir if multiplication is a shortest method of addition then we can only use multiplication, why we should use addition

Hi Aishwarya,

Multiplying numbers is the same as repeatedly adding a number to itself. For example, 3 x 4 = 3 + 3 + 3 + 3, or 4 + 4 + 4. In the vast majority of circumstances, you would count the numbers and multiply, rather than performing the repeated addition.

Addition still has its role, as we can use it to add different numbers together.

Multiplication can differ from addition when we look at other mathematical objects. Multiplying decimal numbers cannot quite be represented by repeated addition. Multiplying irrational numbers cannot at all be represented by repeated addition; it can only be approximated.

Variables are another example. If we have x (a whole number), and we multiply it by itself, we get x². Although that is x added to itself x times, we cannot represent it using addition without doing "x + x + ... + x (x times)".

Hope this helps,

Azeem

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