Multiplication by 11 Best Tricks 2023
Multiplication by 11 can be done using a simple mental trick. This method works for any two-digit number, and it involves creating a new two-digit number by adding the digits of the original number together and placing the result in the middle. Here’s how it works:
Let’s use “ab” to represent the two-digit number you want to multiply by 11, where ‘a’ is the tens digit and ‘b’ is the units digit.
Step 1: Add the digits ‘a’ and ‘b’ together. Step 2: Place the result of the sum from Step 1 in the middle of the original number. Step 3: That’s it! The new number is your answer.
Here’s the process explained with an example:
Let’s multiply 11 by 45. a = 4 (the tens digit of 45) b = 5 (the units digit of 45)
Step 1: 4 + 5 = 9 Step 2: Place 9 in the middle of 4 and 5: 495
So, 11 multiplication by 45 is 495.
Let’s try another example:
Let’s multiply 11 by 67. a = 6 (the tens digit of 67) b = 7 (the units digit of 67)
Step 1: 6 + 7 = 13 Step 2: Place 13 in the middle of 6 and 7: 737
So, 11 multiplied by 67 is 737.
You can apply this method to any two-digit number to quickly perform multiplication by 11 without the need for a calculator.
Multiplication any two-digit number by 11
Multiplication any two-digit number by 11 is a straightforward process that only requires basic arithmetic skills. The result of multiplying a two-digit number by 11 is a three-digit number. To understand the process, let’s take an example using the number 11 and a two-digit number, say 32.
Step 1: Write down the two-digit number (32).
Step 2: Add the two digits of the two-digit number (3 + 2 = 5).
Step 3: Place the result (5) between the two digits of the original number (3__2).
Step 4: That’s it! The result of multiplying 11 by 32 is 352.
Let’s try another example with the number 45:
Step 1: Write down the two-digit number (45).
Step 2: Add the two digits of the two-digit number (4 + 5 = 9).
Step 3: Place the result (9) between the two digits of the original number (4__5).
Step 4: The result of multiplying 11 by 45 is 495.
This method works for any two-digit number.
This method works for any two-digit number. Remember that if the addition of the two digits results in a number greater than 9, you need to carry over the tens digit. For example, if you want to multiply 11 by 78:
Step 1: Write down the two-digit number (78).
Step 2: Add the two digits of the two-digit number (7 + 8 = 15).
Step 3: Place the last digit of the result (5) between the two digits of the original number (7_8).
Step 4: Carry over the tens digit (1) and add it to the first digit of the original number (7 + 1 = 8).
Step 5: The result of Multiplication 11 by 78 is 858.
The method remains the same regardless of the two-digit number you use. With a little practice, you can easily multiply any two-digit number by 11 mentally.
Multiplication by 11 is a simple process
Multiplication by 11 is a simple process that can be understood with just a few words: To multiply any two-digit number by 11, add the two digits together and place the sum between the original digits.
Multiplication by 11 For a more detailed explanation, consider the following steps:
- Take any two-digit number to be multiplication by 11, let’s call it “ab”, where ‘a’ is the tens digit and ‘b’ is the ones digit.
- To find the result, add ‘a’ and ‘b’ together: a + b = c.
- Now, place the sum ‘c’ between the original digits ‘a’ and ‘b’ to get the final answer: “acb”.
Here are some examples to illustrate the process:
Example 1: Let’s multiply 11 by 11: a = 1 (tens digit) b = 1 (ones digit) c = a + b = 1 + 1 = 2 The result is 121.
Example 2: Multiplying 34 by 11: a = 3 (tens digit) b = 4 (ones digit) c = a + b = 3 + 4 = 7 The result is 374.
Example 3: Multiply 87 by 11: a = 8 (tens digit) b = 7 (ones digit) c = a + b = 8 + 7 = 15 The result is 857.
In summary, when multiplication by 11 a two-digit number by 11, you add the two digits together and place the sum between the original digits to get the final answer.
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