The word 'algorithm' just means...
Let's try it out on this...
We line up the figures, like this.
Biggest number on top.
And put in the multiplication sign
The squared paper in your mathbook
is PERFECT for helping you set it out!
On the first line here
we multiply by 7
And on the second line... by 60.
Before I start to multiply
I put a line in... HERE
It gives us a space
in which we can put those
carried or re-grouped digits
And that defined space
helps us to succeed.
Let's go!
First: we say...
The ONES part goes here
And the TENS part goes
up ABOVE the line
and directly above the next figure
we are about to multiply.
Now we do...
And add this 1
which makes 36!
And now...
And we add in this 3.
So that gives us... 31
Before I start the next line of multiplication
I cross out those digits
we carried or re-grouped before.
We've added the ONCE
We do NOT want to accidentally
add them a second time!
And now, I'm ready for the next line.
We're going to multiply this by 6.
It's not 6 ones though, is it?
It's the '60' part
of '67'.
It's...
And as YOU know...
We put in a zero
before we multiply ANYTHING
on the second line.
...and the 1 we carried
That's 31.
Plus that 3 we carried
That's 27.
And that's the multiplication stage all done.
Now, we add both rows
to solve the problem.
So in the ones column...
Our answer is...
And that's the Standard Algorithm... in use!
Everything x your ones digit
on the first line
On the second line
we're multiplying by tens
so put a zero first
then it's everything x your tens digit
If you're multiplying by a 3-digit number
on the third line
you're into the hundreds column
So you start the third line...
Add up to finish off.
In the ones column...