## Introduction: How to Multiply

There are several useful methods for multiplying.

This one is one of the most space-consuming, but is also one of the easiest, as it only requires you to know your tables up to 9x9. This makes it especially useful for KS2 or less-able KS3 students (age 9+)

The rest is adding.

## Step 1: The Grid Method.

The method has several names, but is most often called the *grid method*.

To multiply two numbers together, the numbers are first broken down into their component place-value chunks.

For instance, let us multiply 47 by 68.

"47" is actually "40 + 7" and "68" is "60 + 8".

These numbers are written into a grid, as in the illustration below:

## Step 2: Multiply the Rows and the Columns.

It's almost easier to show than describe.

Ignoring the zeros, multiply the digits at the top of the columns with those at the left of the rows.

4x6 = 24

4x8 = 32

7x6 = 42

7x8 = 56

Now we add the zeros back on - 24 gains a zero from the 40, and one from the 60, so becomes 2400.

Similarly, 32 becomes 320 and 42 becomes 420.

## Step 3: Adding.

That's the hard part done.

All you have to do now is add up the four numbers in the grid. Remember to be careful about place value, and align them up to the right.

## Step 4: You Want More??

You've had the basics - this method can be extended to multiplying any two number of any length.

It is possible to use it to multiply more than two numbers, but you need to work them out as you go along (for example, 23x46x17 would need you to work out 23x46 and then multiply that result by 17).

You are not just limited to two-digit numbers - here are a pair of three-digit numbers worked out on a scrap of paper.

First Prize in the

Burning Questions Round 6.5

Participated in the

Burning Questions Round 6.5

## 21 Comments

14 years ago on Introduction

great kiteman! is this a variant of the lattice method?

Reply 11 years ago on Introduction

ok.can anybody explain me that how to salvemath problem for kids

Reply 14 years ago on Introduction

No - that linked method looks like a variation of Napier's Bones.

14 years ago on Introduction

Nice! This is a really cool method.

Reply 14 years ago on Introduction

It's

supposedto be for kids who can't do the traditional "columns" method, but it is popular with all our kids, and I have even caught our head of maths using it.Reply 13 years ago on Introduction

I used this method for my maths GCSE yesterday - but I had been told it wasn't the 'right' way - so I did the other method next to it

Reply 13 years ago on Introduction

As long as both methods gave the same result...

Reply 13 years ago on Introduction

They did ... luckily :)

14 years ago on Introduction

heh, when I was a kid, I never paid attention in class, and came up with my own way of multiplying that was very similar

96

x 47

42

630

240

3600

4512

I got points taken off for not doing it right :-(

Reply 14 years ago on Introduction

The current policy

~~in the UK~~~~in my school~~in my lessons is "if it works, it works".I don't mind

howyou get to the right answer, as long as you know how you got there, and could get there again.Reply 14 years ago on Introduction

I normally find the right answer, then it runs and hides from me.

14 years ago on Introduction

You forgot

If all fails, Just use a calculator.14 years ago on Introduction

OoooOh! I thought this was an ible about unprotected......... Nevermind.

Reply 14 years ago on Introduction

_{Sigh...}Reply 14 years ago on Introduction

Leave it to the clergyman to make this about procreation!

Reply 14 years ago on Introduction

_{(Maybe I could leave it to the clergyman to lead the voting?)}Reply 14 years ago on Introduction

lol

14 years ago on Introduction

Wow, I've never seen it done that way. But then...I was a liberal arts major. ;)

14 years ago on Introduction

Nice one! Ive never seen this type of multiplying... Its very cool. You got my vote!

Reply 14 years ago on Introduction

Thank you!