##### Multiplication table

### What is multiplication?

Multiplication is one of the four elementary mathematical operations of arithmetic. The result of multiplication operation is called product. The multiplication of whole numbers is thought as repeated addition or we may think it as groups of numbers that are added together.

For example 3 x 6 becomes 3 groups of 6 or 6 + 6 + 6 = 18

### What is Multiplication Table?

Multiplication Table is a table that shows the product of two numbers usually one set is written on the left column and the other on the top.

**The multiplication table of numbers up to 10**

### How to learn the timetable?

The most common way is by repeating and practicing it a lot of times.

Another pretty easy trick is by learning the easy one’s first and then step by step you try and memorize the difficult ones.

Let’s see some tricks step by step by dividing the timetable into parts.

Multiplying with 1, 2, 5 and 10 are the most easier to remember since they follow some pattern.

Anything multiplied by one always stays the same.

Anything multiplied by 2 is always being doubled.

Anything multiplied by five always ends in 0 or 5.

Odd numbers are going to end with 5 while even numbers with 0.

When multiplying with ten all you have to do is add a zero to the end of the number you multiply with 10.

We have a kind of similar trick when we multiply with 4 and 8.

When we multiply with 4 we must double it and then double it again.

When we multiply with 8 we must double it, double it and double it again three times.

Multiplying with 3 and 6 doesn’t have a general rule but we tend to find little tricks to make it simple to memorize.

You can memorize that for every ten multiples of three we have the pattern 3, 6, 9, 12, 15…..

The last digits of these multiples always repeat

When we multiply with six a even number the product always ends with the last digit of the number being multiplied

Multiplying with 7 doesn’t have a general rule but we can list some tips

**1.** Multiplying seven by 2 is like adding seven twice.

**2. **Multiplying seven by 4 is like doubling it twice.

**3.** Multiplying an odd number by 5 always ends in 5.

Multiplying with 9 is a little bit harder to memorize but not impossible with some easy tricks.

Multiplying by nine is the same as multiplying by ten and then subtracting the other number.

**Example 1**

9 x 6 = 54 or 10 x 6 = 60 – 6 = 54

**Example 2**

9 x 8 =72 or 10 x 8 = 80 – 8 = 72

Another trick when multiplying with nine works only for the first ten multiples of nine.

On the first column write numbers from 0 to 9 on increasing order and on the second column write the numbers on decreasing order from 9 to 0.

There is another trick that is supper practical and easy that doesn’t need any paper but just your hands to find the product of any number multiplied by 9.

Hold your fingers out in front of you and count them from left to right until you get the number multiplied by 9. Bend that finger down and then count the fingers that are up on the left side, that’s the first digit of your answer. Count the fingers that are up on the right side and that’s how you find the second digit of the product.

Example

When multiplying 9 with 4, we count 4 fingers from left to right.

Bend the forth finger down.

We count the fingers on the left and 3 is the first digit of the product 9 x 4.

We count the fingers on the right and 6 is the second digit of the product 9 x 4.