To learn tricks to multiply numbers, first you have to have to remember the product of any singe digit number by another single digit number.

Examples :

5 x 3 = 15

4 x 6 = 24

7 x 8 = 56

And it is difficult for us to remember answer for

**"Two digit number x Single digit number"**

and

**"Two digit number x Two digit number"**

Here, we have given shortcuts to find answer for the above multiplications which come in times table.

This method is explained for 1 at the ten's place of two digit number (Times Table).

Steps to be followed to understand the above shortcut :

**Step 1 :**

First take the single digit number and multiply it by 10.

(7 x 10 = 70 in the above example)

**Step 2 :**

Multiply the single digit and unit digit of the two digit number

(7 x 2 = 14 in the above example)

**Step 3 :**

Add step 1 value and step 2 value.

(70 + 14 = 84 in the above example)

That's it.

**Try yourself :**

14 x 8 = ?

19 x 8 = ?

7 x 18 = ?

In this way you can try a lot.

Steps to be followed to understand the above shortcut :

**Step 1 :**

First take the digit at ten's place of two digit number and multiply it by the given single digit number.

(2 x 7 = 14 in the above example)

**Step 2 :**

Add "zero" at the end of step1 value.

(14 -----> 140 in the above example)

**Step 3 :**

Multiply the unit digit of two digit number and the given single digit number.

(4 x 7 = 28 in the above example)

**Step 4 :**

Add step 2 and step 3 values and you will get the answer.

(140 + 28 = 168 in the above example)

That's it.

**Try yourself :**

34 x 8 = ?

49 x 7 = ?

67 x 4 = ?

In this way you can try a lot.

This method is explained for "1" at the ten's place of both the two digit numbers (Times Table)

**Method 1 : **

**Method 2 :**

Steps to be followed to understand both the methods :

**Step 1 :**

First take one of the two digit numbers and multiply it by 10.

**Step 2 :**

Multiply the unit digit of other two digit number by 10.

**Step 3 :**

Multiply unit digits of both the numbers.

**Step 4 :**

Add all the above three values and you will get answer.

That's it

**Try yourself :**

17 x 18 = ?

18 x 19 = ?

15 x 19 = ?

In this way, you can try a lot.

Beware!

To use these shortcuts, you must have much practice on these. Otherwise, the shortcuts explained above will not work properly and you may not be able to get correct answer. So, please do much practice on these shortcuts using different numbers.

One more caution on these shortcuts :

We can take only 1 at the ten's place of two digit numbers and not any number.

**Problem 1 : **

Evaluate :

297 x 5

**Solution : **

297 x 5 = (300 - 3) x 5

297 x 5 = 1500 - 15

297 x 5 = 1485

**Problem 2 : **

Evaluate :

30 x 25

**Solution : **

30 x 25 = 30 x (20 + 5)

30 x 25 = 600 + 150

30 x 25 = 750

**Problem 3 : **

Evaluate :

1250 x 6

**Solution : **

1250 x 6 = (1000 + 250) x 6

1250 x 6 = 6000 + 1500

1250 x 6 = 7500

**Problem 4 : **

Evaluate :

1500 x 12

**Solution : **

1500 x 12 = 1500 x (10 + 2)

1500 x 12 = 15000 + 3000

1500 x 12 = 18000

**Problem 5 : **

Evaluate :

500 x 16

**Solution : **

500 x 16 = 500 x (10 + 6)

500 x 16 = 5000 + 3000

500 x 16 = 8000

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