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Kerala PSC - Maths Shortcut Tricks (Multiplication) - 2

Kerala PSC - Shortcut Tricks (Multiplication) - 2

In our previous tutorial we have learnt shortcut to multiplying any number with 11 without using a pen or pencil or even writing on paper. In this tutorial we will try to learn how to multiply any number with 111.
Lets first start with any no. multiplied by 111.

21431 x 111 = ?
In our previous post of X x 11, since it was two 1's, we added 2 No's at a time. Since 111 is three 1's, we must add 3 No's at a time.

Step 1 : Bring down 2 = 2
Step 2 : Add 2 + 1 = 3
Step 3 : Add 2 + 1 + 4 = 7
Step 4 : Omit or cut 2 and add 1 + 4 + 3 = 8
Step 5 : Omit 1 and add 4 + 3 + 1 = 8
Step 6 : Omit 4 and 3 + 1 = 4
Step 7 : Omit 3 bring down 1 = 1
∴ 21431 x 111 = 2378841


76859 x 111 = ?
If we get double digits in the process of addition, then apply balancing rule.
∴ 76859 x 111 = 8531349

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