So, what did you come up with? Here’s the answer:

Multiplication is just…..**repeated addition.**

That’s it “**What is Multiplication**“

Let’s look at this. Multiplication of two numbers tends to be thought of as

‘timesing two numbers together. The word ‘times’ here, which has morphed

into a verb over the years, actually refers to the number of times we add. This is

very important. It is how many times we add.

For example,

3 x 5 = 15

Because we add 5… 3 times.

So above, you probably read that as 3 times 5. Now read it as 3 times (we add) 5.

3 x 5 = 3 times (we add) 5 = 5 + 5 + 5 = 15.

Another example

4 x 6 = 4 times (we add) 6 = 6 + 6 + 6 + 6 = 24

And so on!

5 x 7 = 5 times (we add) 7 = 7 + 7 + 7 + 7 + 7 = 35

How exciting. This is how easy it is.

Multiplication is just an addition! So the ‘times’ is not another word for multiply, it

is actually the number of times we add.

You can probably see that this is

Victorian sort of language, which has got dropped over the years. It sounds like

some kind of proverb – 5 times we add 7. Obviously the ‘we add’ part has

eroded away and now everyone thinks times = multiply, but it doesn’t.

Again, the ‘times’ is not another word for multiply, it is actually the number of

times we add.

So what?

Now we know that we can never get a multiplication wrong. If you can add, you

can multiply. You don’t actually need to memorize times tables anymore. You

could work each one out every time if you wanted! The memorization of times

tables is okay when you understand why 5 x 7 = 35, but it’s basically useless if

you don’t.

Now you do.

Now you can do any multiplication.

Any.

Because you know that you could just add over and over.

I thought you said this was going to be optimized?

It is! But we need to understand what we’re doing first.

Let’s look at some more examples.

7 x 9 = 7 times (we add) 9 = 9 + 9 + 9 + 9 + 9 + 9 + 9 = 63

8 x 12 = 8 times (we add) 12 = 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 96

14 x 7 = 14 times (we add) 7

But wait. Here’s another concept. It doesn’t matter which order we do it in.

For example, 3 x 5 = 15.

And, 5 x 3 = 5 times (we add) 3 = 3 + 3 + 3 + 3 + 3 = 15.

Which is quicker? Obviously, we always want to add the lowest number of

times. This is always quicker.

3 x 14 is much quicker than 14 x 3!

So always add the lowest number of times. Turn 14 x 7 into 7 x 14, giving

7 x 14 = 7 times (we add) 14 = 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Is this the best way to multiply 2 numbers together? No. It doesn’t fulfill all of

the requirements. We can’t even be sure it is correct, because we might have

made a mistake while adding.

But we’re getting there.

**Rules of Multiplication (How to Multiply)**

There are **Rules of Multiplication (How to Multiply)** to multiply numbers. They are:

- Multiplication of two integers is an integer
- Any number multiplied by 0 is 0
- Any number multiplied by 1 is equal to the original number
- If an integer is multiplied by multiples of 10, then the same number of 0s are added at the end of the original number. Example: 4 × 1000 = 4000
- The order of the numbers, does not matter, when multiplied together. Example: 2 × 3 × 4 × 5 = 5 × 4 × 3 × 2 = 3 × 2 × 4 × 5 = 120

**Multiplication Signs**

The table of multiplication for numbers 1 to 10, row-wise and also column-wise is offered below. With the help of these tables, we can easily discover the product of two numbers from 1 to 10 in a quick manner.

× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |

3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |

4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |

5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |

6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |

7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |

8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |

9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |

10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |

**Multiplication Signs**