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In the last video we went over the multiplication tables for one through nine
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and I ran out of time, and actually, it was a good thing
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because one through nine are kind of the core multiplication tables.
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And you'll see that if you know all your multiplication tables from one to nine,
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so you know any number between one and nine
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times any other number between one and nine,
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you can actually do any multiplication problem out there.
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But what I want to do now
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is I want to complete the multiplication tables for ten, eleven, and twelve.
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So what is ten times-- let's just start with zero.
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Ten times zero.
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Anything times zero is zero.
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Ten zeros are zero.
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Zero plus zero plus zero ten times is still zero.
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What's ten times one?
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Ten times one.
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Well that's just ten one time.
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Or one plus itself ten times.
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That's ten.
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I think this is second nature to you at this point.
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What's ten times two?
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Ten times two.
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I meant to switch colors, but I didn't.
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Ten times two?
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That's ten plus ten, which is twenty.
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Fair enough.
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And notice, we went up by ten the first time.
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We went up by ten again to get to twenty.
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What's ten times three?
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Well, that's ten plus ten plus ten,
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or we could view it as ten times two plus another ten,
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which is equal to thirty.
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What's ten times four?
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I think you start to see a pattern.
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Ten times four is equal to forty.
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Notice, ten times four is equal to forty.
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If I were to ask you what is ten times--
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let me do another color-- five?
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Well that's equal to fifty.
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Ten times anything is that anything with a zero behind it.
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So the ten times tables,
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you almost don't have to remember it.
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So let's just keep going.
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What's ten times six?
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It's equal to sixty.
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Six zero.
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What's ten times seven?
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Seventy.
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Ten times eight?
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This is almost ridiculous.
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Ten times eight is eighty.
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Ten times nine?
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Ninety.
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Ten times ten?
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Now this is interesting.
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Ten times ten, so it'll be a ten--
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let's see me write this.
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Let me do it in this orange color.
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Ten times ten.
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So it'll be ten tens or a ten with a zero behind it.
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There you go. Notice, whatever number times ten, I just add a zero,
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then I get the next number.
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So it's one hundred.
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And I think you understand why that is.
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I added ten to itself ten times.
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That each ten-- you go from ten, twenty, thirty.
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Thirty is just three tens or ten times three.
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Ninety is just nine tens or nine times ten.
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Let's keep going.
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So ten times eleven is equal to eleven with a zero behind it.
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One hundred and ten.
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Finally, ten times twelve is equal to one hundred and twenty.
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Now, just for fun, these are kind of your ten times tables.
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But now that you know the pattern you can do anything.
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If I asked you what five thousand seven hundred thirty-two times ten is,
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what's it going to be?
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It's going to be this number with just one more zero.
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So it's going to be-- I won't read it out yet.
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Five seven three two with a zero behind it.
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And just so you know,
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this little comma that I wrote in the number there,
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that's just to make it easier for me to read that number.
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So, you put the comma-- you start over here
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and every third number you put the comma.
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So here I'm going to put the comma right here.
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I'm going to put the comma right there.
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So now I can read this.
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The comma doesn't really add or take anything away from the number,
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it just helps me read it.
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Now five thousand seven hundred thirty-two times ten is fifty-seven thousand three hundred twenty.
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I just had to add a zero there,
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but that was a pretty straightforward multiplication.
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And notice, we had five thousand times ten
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and we got to fifty-something thousand when we multiplied them.
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So that's similar to five times ten is equal to fifty.
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But instead of five I had a five thousand,
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and so I got a fifty thousand and something and all this other stuff.
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We're going to learn more about how to do problems like this in the future.
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But I thought I would introduce you to the idea
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that just from this little pattern of adding a zero,
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you already know your tens times tables.
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Now let's do our elevens.
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Our elevens, Elevens get a little bit--
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Well, they start off easy,
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and then they get a little more difficult as we get into high numbers.
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So, eleven times zero.
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This is easy, this is zero!
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Eleven times one.
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This is also easy!
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It's eleven!
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Eleven times two.
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We're going to start seeing a pattern here.
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It's eleven plus eleven or we could've added two to itself eleven times,
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but that is equal to twenty-two.
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If we do eleven times three, it is equal to thirty-three.
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Eleven times four is equal to forty-four.
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I think this is becoming obvious to you.
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What's eleven times five?
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Eleven times five is fifty-five!
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Notice I put the five twice.
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What's eleven times six?
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It's sixty-six!
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Eleven times seven is eighty-four-- no!
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I'm kidding!
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I didn't want to mess with you like that.
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But no.
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Of course, it's seventy-seven!
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Seventy-seven.
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You just repeat the number twice.
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Seventy-seven.
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Let me switch colors.
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Eleven times eight is equal to eighty-eight.
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Eleven times nine is equal to ninety-nine!
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Now what's eleven times twelve?
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Eleven times twelve.
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Oh sorry, I skipped ten.
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Eleven times ten.
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You might want to say it's "tenty-ten!"
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No!
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That's wrong!
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It's not "tenty-ten!"
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So that little pattern that we had
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where you just repeat the number,
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that only works for one digit numbers.
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So it only works for one through nine.
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Eleven times ten--
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well, we could think about it a couple of ways.
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We can add eleven to ninety-nine.
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So we can say it's ninety-nine plus eleven.
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And what's that?
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That's equal to one hundred and ten.
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And I'm going to show you how to do--
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well, hopefully you've already watched the video on how to add two-digit numbers like this,
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but that's one hundred and ten.
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Or you could just use the property from the tens times tables that we learned.
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Where if you just take eleven times ten, you add a zero to the eleven,
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you get one hundred ten.
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That's the eleven right there.
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Finally, let's do eleven times twelve.
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Eleven times twelve.
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No easy way to remember this,
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you just kind of should remember it.
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Or you could say look,
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it's going to be eleven more than eleven times-- sorry.
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I keep skipping things.
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We should do eleven times eleven first.
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Let me make sure this is clear.
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We're doing eleven times eleven before we go to eleven times twelve.
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So eleven times eleven is going to be eleven more than eleven times ten.
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So we add eleven to this.
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Eleven plus one hundred ten is one hundred twenty-one.
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And actually, as you'll see,
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there actually is an order as we get to higher multiples of eleven,
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but I'll leave that to a future video.
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And then finally, we're at eleven times twelve.
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Eleven times twelve.
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And we could add eleven to itself twelve times.
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We could add twelve to itself eleven times.
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Or we could just say,
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hey, it's going to be eleven more than eleven times eleven.
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So that is what?
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You add eleven to this.
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What do you get?
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You get one hundred thirty-two.
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I just added one hundred twenty-one plus eleven
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and then got one hundred thirty-two.
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Now the other way you could have said it is, well,
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what's ten times twelve?
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Ten times twelve,
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we already knew that.
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That was one hundred twenty.
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So eleven times twelve,
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because we're multiplying twelve by one more
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should be twelve more than that.
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So that should be one hundred thirty-two.
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So two ways to get the exact same answer.
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All right! Now let's do our twelve times tables.
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Twelve times tables.
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And once you know this
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you are ready to tackle any type of multiplication problem.
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But we'll do that in future videos.
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So twelve times zero.
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Super easy! Zero.
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Twelve times one.
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Also super easy!
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Is twelve.
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Now it gets interesting.
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We're going to increase by twelve every time.
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Twelve times two is equal to twenty-four.
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Twelve plus twelve is twenty-four, right?
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Twelve times-- not twenty-two.
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Let me rewrite that.
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Twelve times three is going to be twelve plus twelve plus twelve.
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Or we could write that as twelve times two.
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I see my brain is doing the wrong things.
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We could rewrite that as twelve times two plus twelve.
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Or we could rewrite that as twenty-four plus twelve.
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Either way, all of these get us to thirty-six.
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And notice, that's just that plus twelve.
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Twelve times four.
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Twelve times four is equal to forty-eight.
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There's a lot of ways you could think about it.
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You could say eleven times four is forty-four.
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Right? Eleven times four is equal to forty-four.
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And you go up by one more four, so you get to twelve times four.
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Or you could say twelve times three is thirty-six
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and you can add one twelve to it to get to forty-eight.
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Either way works,
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and that's because you can multiply in either direction.
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Let's keep going.
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Twelve times five is equal to sixty.
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Ten times five is fifty, eleven times five is fifty-five,
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so twelve times five is sixty!
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Twelve times six is equal to what?
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It's going to be twelve more than this.
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It's going to be equal to seventy-two.
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Twelve times seven.
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Twelve more than this again.
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Twelve more than seventy-two is eighty-four.
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And I'm serious, you know, I'm probably a lot older than you are,
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and I still, in my head to confirm,
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I go to some twelve times tables that I remember as definitely right.
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Like oh, twelve times five-- and sometimes in my head I say,
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oh, let me add another twelve.
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Oh yeah, definitely, my memory was correct.
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Twelve times six is seventy-two.
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All right.
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Then you go to twelve times eight.
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Add twelve to the twelve times seven.
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Ninety-six.
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Twelve times nine.
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Well you add twelve to this, so it's one hundred eight.
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One hundred eight.
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And then twelve times ten.
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This is an easy one!
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Right? We just add a zero to the twelve to get one hundred twenty.
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Or we could've added twelve to one hundred eight.
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Either way.
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Twelve times eleven.
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We just did this.
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You add twelve to this to get one hundred thirty-two.
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And then twelve times twelve,
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is equal to one hundred forty-four.
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And this actually shows us--
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If I had a dozen of a dozen eggs-- a dozen is twelve.
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Or if I had a-- I think a gross is actually twelve dozens.
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So that's one hundred forty-four eggs.
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So you'll actually end up seeing this number a lot.
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More than you would expect in life.
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But anyway, we've now completed all of our multiplication tables.
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And I really encourage you to take the time now to go and memorize them.
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Make some flash cards.
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Use the little software thing that I wrote on my website.
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You could try that out.
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As of September Two Thousand Nine, it's working.
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I haven't touched it in a while, but I'm actually probably going to rebuild it soon.
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So if you're watching this video in the year Two Thousand Two Hundred--
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Well, I would probably not exist anymore.
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But hopefully you'll get a better version of the software app.
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But you should practice it.
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You should get your parents to quiz you.
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You should get notes cards.
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You should just be mumbling to yourself as you walk to school--
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What is twelve times nine?
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What is eleven times eleven?
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And you should quiz each other,
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because it'll pay huge rewards to you later on in life.
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See you in the next video!