SHORT TRICK TO MULTIPLY ANY TWO DIGIT NUMBER BY 11.

This post is made to learn “How to multiply, in your head, any two-digit number by eleven?” It’s very easy once you know the secret.

Consider the problem:

32 x 11

To solve this problem, simply add the digits, 3 + 2 = 5, put the 5 between the 3 and the 2, and there is your answer:

352

Now you try:

53 x 11

Since 5 + 3 = 8, your answer is simply

583

One more. Without looking at the answer or writing anything down, what is

81 x 11?

Did you get 891? Congratulations!

Now before you get too excited, I have shown you only half of what you need to know. Suppose the problem is

85 x 11

Although 8 + 5 = 13, the answer is NOT 8135!

As before, the 3 goes in between the numbers, but the 1 needs to be added to the 8 to get the correct answer:

935

Think of the problem this way:

835

935

Here is another example. Try 57 x 11.

Since 5 + 7 = 12, the answer is:

527

627

Okay, now it’s your turn. As fast as you can, what is

a.) 83 x 11? b.) 78 x 11? c.) 28 x 11? d.) 63 x 11?

If you got the answer 913,858, 308, 693 respectively then give yourself a pat on the back. You are on your way to become a mathemagician.

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You should observe to learn the working of this method. Step - 1: Multiply the unit digits (rightmost digits) of both the numbers, Step - 2: Add the cross product of the digits as shown below: Step - 3: Multiply the ten’s digits (leftmost digits) of both the numbers. Note: If the results obtained in step 1 and step 2 have more than one digit, note down the unit place of the result and carry over the ten’s place of the result to the left. Let us understand the process through some examples: Example 1: Solve 13 × 12 Step - 1: Multiply the unit digits (rightmost digits) of both the numbers, Step - 2: Add the cross product of the digits as shown below: Step - 3: Multiply the ten’s digits (leftmost digits) of both the numbers. So,13 × 12 = 156 Now before you get too excited, I have shown you only half of what you need to know. Suppose the problem is Example 2: Solve 28 × 35. Step- 1: Multiply the unit digits (rightmost digits) of both the numbers, Step - 2: Add the cross product of the digi...

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