We have seen this tutorial, how to multiply any number with 11. In this tutorial, we will see, how to multiply any number with 12.

We are going to learn 2 shortcuts here. I will explain both. You can practice whichever technique you feel is easier.

Let me consider a very simple example. Let‘s say, we want to multiply 34*12.

In the first approach, we use the technique we already know. We already know how to multiply any number with 11. We can write 34*12 as,

34*12 = 34*(11+1) = 34*11 +34

So, 34*12 = 374+34 = 408.

Let’s consider another example. Let’s say we need to multiply 652*12. We can write,

652*12 = 652*(11+1) = 652*11 +652

So, 652*12 = 7172+652= 7824.

Using this technique, can you multiply?

- 34567 x 12
- 234 x12
- 59403 x 12
- 393933 x 12

Now, let’s try to understand the second technique. Let’s consider the same example 34*12.

The idea is to double every digit and add it to its neighbor.

**Step 1:** Starting from right, double the right most digit 4, that is 8.

**Step 2:** Now, double the next digit 3 and add it to 4 to get 10. Write 0 and 1 is carry-forward.

**Step 3:** In the last step, we **do not** double the digit. So, 3 is added to the previous carry-over to get 4.

So, the final answer is 408.

Let’s take another example 652*12

**Step 1:** Starting from right, we double the right most digit, so we have 4*2 =8.

**Step 2:** Starting from right, we double the next digit and add the previous digit 2. So, we get 5*2+2=12.

**Step 3:** We double the last digit 6 and add the previous digit 5. So, we get 6*2+5=17. We have the carry-forward from the previous addition as well. So we get 18.

**Step 4:** In the last step, we do not double the digit. So, 6 is added to the previous carry-over 1 to get 7.

So, the final answer is 7824.

Using this technique, can you multiply?

- 34567 x 12
- 234 x 12
- 59403 x 12
- 393933 x 12

Very easy right 🙂

Please leave a message if some point in this tutorial is not clear to you. I would be glad to help.

I used to be able to find good info from your content.

In the topic “multiplying any number with 12” there is a typo,

34*11 = 374 (not 372)

So, 34*12 = 374+34 = 408.

Please correct it.

hola amigos, funcionan los comentarios?