In all these problems, we have to find the multiplication of two digit number with a single digit number.

Example 1 : Learn Multiplication

Let us find 4 x 12.

From the knowledge of decimal number system
, we know, 12 has 1 ten and 2 ones. i.e. 12 = 2 x 1 + 1 x 10 = 2 + 10.

So, 4 x 12 = 4(12) = 4(2 + 10) = 4 x 2 + 4 x 10 = 8 + 40 = 48.

We will show it in vertical presentation as follows.

12
4
---
8
40
---
48
---

Or more simply

12
4
---
8
4
---
48
---

The second vertical presentation above is simple way of presenting process of multiplication.

Note that when tens' place digit is multiplied, we presented the result in tens' place.

If the result has more than one digit, we place the result starting from tens' place and proceeding to the left, as seen in the next example.

While adding, 8 in units' place is descended down in units' place and 4 in tens' place is descended down in tens' place.

Thus the result is 48.

Example 2 : Learn Multiplication

Now, we find 6 x 20 by presenting the process directly in the simple vertical presentation explained above.

20
6
---
0
12
---
120
---

Here 0 x 6 gave 0 and we placed it in ones' place. 2 x 6 gave 12 and we placed it starting from tens' place and proceeding to the left.

While adding, we descend the 0 in units' place, 2 in tens' place and 1 in hundreds' place.

Thus the result is 120.

In fact, to find 20 x 6, it is enough to find 2 x 6 and then put 0 to the right of the result. 2 x 6 = 12. Putting 0 to the right, the answer is 120 same as above.

Example 3 : Learn Multiplication

2 x 30 is simple to understand and we present it below.

30
2
---
0
6
---
60
---

So 2 x 30 = 60. Ans.

In fact, to find 2 x 30, it is enough to find 2 x 3 and then put 0 to the right of the result. 2 x 3 = 6. Putting 0 to the right, the answer is 60, same as above.

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While adding, we descend 0 in units' place and add small 2 and 4 in tens' place to get 6 in tens' place.

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