Patterns in a multiplication table

- [Instructor] We're told here

is a partially completed
multiplication table.

So we can see the one times tables,

then the twos, threes, fours.

It goes all the way to fives.

And they want us to solve six times seven.

And they tell us, "Use the five facts,"

so that's the ones highlighted in purple,

"as a stepping stone."

"Take five groups and add one more group."

So pause this video

and have a go at this
before we do this together.

All right, so we're trying

to figure out what six times seven is.

So six times seven
would be right over here

on our multiplication table,

and they give us a nice hint:

"Use the five facts as a stepping stone.

Take five groups and add one more group."

So what do they mean by that?

Well, if you look at this right over here,

they tell us that five times seven is 35.

Five times seven is equal to 35.

And if you look at this column here,

you can see that you can view this

as adding seven every time.

Seven times one is seven.

Seven times two is 14.

Seven times three is 21.

Seven times four is 28.

Seven times five is 35.

So every time we're just adding...

Every time we're just adding seven

when you go down this column.

So if you wanna figure out
what six times seven is

or what seven times six is,

you just have to add seven
more right over here.

So 35 plus seven, we
could do that in our head,

or we could just write it out over here.

Five plus seven is 12,

and then 10 plus 30 is 40.

We get 42.

So six times seven is equal to 42.