Sublime Maths Worksheets

Multiply Any Number by 11 with Ease

Multiply Any Number by 11 with Ease

Introduction

In this blog post, we're going to unveil a simple yet incredibly powerful maths trick that allows you to multiply any number by 11 with ease. Whether you're a student striving for mathematical prowess or simply someone who wants to impress with quick mental maths, this trick is a game-changer.

To easily multiply by 11, the steps are...

  • Begin with the rightmost digit of the number you want to multiply by 11.
  • Write down this rightmost digit.
  • Move one position to the left and add the next digit from the original number. Write down this result next to the rightmost digit.
  • Continue this process, moving left one position at a time, adding the next digit from the original number to the result. Make sure you add any carry overs from previous step.
  • Repeat until you have processed all the digits in the original number.
  • Finally write down the leftmost digit. Make sure you add any carry overs from previous step.

Step-by-Step Illustration with Examples for Multiplying by 11

Choose a number to be multiplied by 11 to understand the above steps:
This logic works from right to left.
Multiply 846594 by 11 to get 9312534
  • Start with the rightmost digit of the multiplicand 846594, which is 4. And write it down.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 4
  • Move left, add 9 to 4 (plus the carry over 0 from previous step) = 13, write down 3 next to 4 and carry over 1.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 3
    • 4
  • Move left, add 5 to 9 (plus the carry over 1 from previous step) = 15, write down 5 next to 3 and carry over 1.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 5
    • 3
    • 4
  • Move left, add 6 to 5 (plus the carry over 1 from previous step) = 12, write down 2 next to 5 and carry over 1.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 2
    • 5
    • 3
    • 4
  • Move left, add 4 to 6 (plus the carry over 1 from previous step) = 11, write down 1 next to 2 and carry over 1.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 1
    • 2
    • 5
    • 3
    • 4
  • Move left, add 8 to 4 (plus the carry over 1 from previous step) = 13, write down 3 next to 1 and carry over 1.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 3
    • 1
    • 2
    • 5
    • 3
    • 4
  • End with the leftmost digit of the multiplicand 846594 (plus the carry over 1 from previous step), which is 9. And write it down.
    • 8
    • 4
    • 6
    • 5
    • 9
    • 4
    • ✕
    • 11
    • 9
    • 3
    • 1
    • 2
    • 5
    • 3
    • 4
Choose a number to be multiplied by 11 to understand the above steps:

Our worksheets

But we're not stopping at just revealing the secret; we're also giving you the tools to practice and master this skill. Our Sublime Maths Worksheets worksheet portal offers an online configurable worksheet designed specifically for multiplying any number by 11. Go to the Times Table Mastery with Multi-Digit Long Multiplication worksheet page. Choose 11 as the Table Number (Multiplier). You have the freedom to choose the number of digits in the multiplicand, ranging from 3 to 6, and even exclude 1s or 0s if you wish. This worksheet also works from right to left and therefore it is the perfect companion to this maths trick. With our worksheet, you can tailor your practice to your skill level and gradually work your way up to becoming a mental maths wizard. So, let's dive right in there and unlock the magic of multiplying by 11!