Knowing multiples of 11 is important in mathematics, as it helps in various arithmetic operations like division, multiplication, and finding the least common multiple (LCM) of numbers. Multiples are the numbers that are obtained by multiplying a given number by any other whole number. In this article, we will explore how to identify multiples of 11 in English language and understand their significance in mathematics.
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How to identify Multiples of 11
Identifying multiples of 11 can be done using two methods – the shortcut method and the subtraction method. Let’s take a look at each of them in detail.
The Shortcut Method
This method is quick and easy. All you need to do is to alternate the digits and add them. If the sum is a multiple of 11, then the original number is also a multiple of 11. For example, consider the number 495. Alternating the digits, we get 4-9+5=0, which is a multiple of 11. Hence, 495 is also a multiple of 11.
The Subtraction Method
In this method, you subtract the alternating digits and check if the result is a multiple of 11. For example, consider the number 495. Alternating the digits, we get 4-(-9)=13. Since 13 is not a multiple of 11, 495 is not a multiple of 11.
Common Multiples of 11
It is important to know some of the common multiples of 11 to have a better understanding of the concept. Here’s a list of the first 20 multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220.
First 20 Multiples of 11 List
| Multiplication of 11 with numbers | Multiples of 11 |
| 11 × 1 | 11 |
| 11 × 2 | 22 |
| 11 × 3 | 33 |
| 11 × 4 | 44 |
| 11 × 5 | 55 |
| 11 × 6 | 66 |
| 11 × 7 | 77 |
| 11 × 8 | 88 |
| 11 × 9 | 99 |
| 11 × 10 | 110 |
| 11 × 11 | 121 |
| 11 × 12 | 132 |
| 11 × 13 | 143 |
| 11 × 14 | 154 |
| 11 × 15 | 165 |
| 11 × 16 | 176 |
| 11 × 17 | 187 |
| 11 × 18 | 198 |
| 11 × 19 | 209 |
| 11 × 20 | 220 |
Multiples of 11 by Skip Counting
11 + 0 = 11
11 + 11 = 22
22 + 11 = 33
33 + 11 = 44
44 + 11 = 55
55 + 11 = 66
66 + 11 = 77
77 + 11 = 88
88 + 11 = 99
99 + 11 = 110
110 + 11 = 121
121 + 11 = 132
132 + 11 = 143
143 + 11 = 154
154 + 11 = 165
165 + 11 = 176
176 + 11 = 187
187 + 11 = 198
198 + 11 = 209
209 + 11 = 220
Real-life applications of multiples of 11
Multiples of 11 have several real-life applications. For example, in timekeeping, the time 11:11 is considered lucky as it is a multiple of 11. In sports, a cricket team scores 11 runs in an over. In a deck of cards, there are 11 cards in a suit. These are just a few examples of the significance of multiples of 11 in our daily lives.
