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# Multiplying Numbers By 11 To 19

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A faster way to multiply any number by a number between 11 to 19

A faster way to multiply any number by a number between 11 to 19

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### Transcript

• 1.
• 2.
• Step 1: First and last digits will be same as the first and last digit of the number
• Step 2: Add both the digits and place the answer in between
• Example: 62 X 11
• So the answer is 682
6 2 6 8 2
• 3.
• Step 1: First and last digits will be same as the first and last digit of the number
• Step 2: Add the digits next to each other to get middle numbers as shown in the figure
4 5 3 4 So the Answer is - 4 9 8 7 4 Adding to the neighbour 4 9 8 7 4 E.g. – 4534 X 11
• 4.
• Step 1 & 2: Same as in earlier slide
• Step 2: Add the carry over number to the number on the left hand side as shown.
4 9 3 4 So the Answer is - 5 4 2 7 4 Adding to the neighbour 4 1 3 1 2 7 4 5 4 2 7 4 E.g. – 4934 X 11
• 5.
• Multiply each digit by 2 and add the digit on the right hand side. Assume a Zero at the end and beginning of the number
• In the example:
• (4 X 2) + 0 = 8
• (2 X 2) + 4 = 8
• (0 X 2) + 2 = 2
• Example: 24 X 12
• So the answer is 288
2 4 2 8 8 Multiply and Add to the neighbour
• 6.
• Multiply each digit by 2 and add to the digit on right hand side.
• In the example:
• (3 X 2) + 0 = 6
• (4 X 2) + 3 = 11
• (4 X 2) + 4 = 12
• (0 X 2) + 4 = 4
• Add the carry over's as shown
4 4 3 So the Answer is - 5 3 1 6 Multiply and Add to the neighbour 4 1 2 1 1 6 E.g. – 443 X 12 5 3 1 6
• 7.
• Just as we multiplied each digit by 2 for multiplying by 12,
• For 13 we will multiply each digit by 3 and add the neighbour.
• Similarly for 14 multiply by 4, for 15 multiply by 5 and so on.
• 8. Maths is now simpler. isn't it? To learn more Call: Abhishek – 9820155871 Neha – 9619313066 OR Send a mail on nehaakabra@gmail.com