*** MULTIPLICATION ROCK ***
TWO ELEMENTARY, MY DEAR
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Paul Kimmelman and Associates
Forty days and forty nights, didn't it rain, children?
Not a speck of land in sight >> Didn't it, didn't it rain?
But Noah built the ark so tight, they sailed on, children.
And when at last the waters receded,
And the dove brought back the olive tree leaf,
He landed that ship near Mount Ararat.
And one of his children grabbed Noah's robe and said...
>> (Hey Dad, how many animals on this old ark, anyway, huh?)
Elementary, my dear, two time two is four.
Elementary, my dear, two time three is six.
Elementary, my dear, two time four is eight.
Elementary, my dear, two time five is ten.
Two times one is two, of course, and it must occur to you,
You get an even number every time you multiply by two.
Elementary, my dear, two time six is twelve.
Elementary, my dear, two time seven is fourteen.
Elementary, my dear, two times eight is sixteen.
Elementary, my dear, two times nine is eighteen.
Two times ten is twenty; eleven twice is twenty-two.
Double twelve that's twenty-four; thirteen twice is twenty-six.
Fourteen twice is twenty-eight; fifteen twice is thirty.
Now you build it up on thirty.
Sixteen twice is thirty-two, elementary.
Seventeen twice is thirty-four, elementary.
Eighteen twice is thirty-six, elementary.
Nineteen twice is thirty-eight, elementary.
Twenty twice is forty, and it must occur to you,
You can double any number, all you do is multiply by two.
Elementary, my dear, two time two is four. Woo!
Elementary, my dear, two time three is six. Yeah.
Elementary, my dear, two time four is eight. Woo!
Elementary, my dear, two time five is ten. Yeah.
(Now, if you want to multiply two times 174, or some big number like
that... Two times 174 equals two times 100 plus two times 70 plus
two times 4, that's all. So two times 174 equals 200 plus 140 plus
8, or, 348. It's elementary!)
Elementary... elementary...
Twice 32 is 64, elementary. Twice 33 is 66, elementary.
Twice 34 is 68, elementary. Twice 35 is 70, elementary.
Yeah, yes! It's elementary, yeah....
(Now, what's two times 98?)
>> (Aww, that's hard!)
(No, it's very simple. Two times 98 equals two times a hundred,
minus two times two. That's 200 minus four: 196. Elementary.)
Forty days and forty nights, didn't it rain, children?
THREE IS A MAGIC NUMBER
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Focus Design, Inc.
Three is a magic number.
Yes it is, it's a magic number.
Somewhere in the ancient, mystic trinity
You get three as a magic number.
The past and the present and the future,
Faith and hope and charity,
The heart and the brain and the body
Give you three.
That's a magic number.
It takes three legs to make a tri-pod or to make a table stand.
It takes three wheels to make a ve-hicle called a tricycle.
Every triangle has three corners,
Every triangle has three sides,
No more, no less.
You don't have to guess.
When it's three you can see it's a magic number.
A man and a woman had a little baby.
Yes, they did.
They had three in the family.
That's a magic number.
3, 6, 9... 12, 15, 18... 21, 24, 27... 30.
3, 6, 9... 12, 15, 18... 21, 24, 27... 30.
>> (Multiply backwards from three times ten.)
Three time ten is... >> 30
Three times nine is... >> 27
Three times eight is... >> 24
Three times seven is... >> 21
Three times six is 18, three times five is 15
Three times four is twelve
And three times three is nine and three times two is six.
And three times one is three of course.
>> (Now take the pattern once more.)
>> (Three!)
3, 6, 9.
>> (Twelve.)
12, 15, 18.
>> (Twenty-one.)
21, 24, 27... 30.
>> (Now multiply from 10 backwards.)
Three times ten is... >> 30
Three times nine is 27
Three times eight is... >> 24
Three times seven is... >> 21
Three times six is 18, three times five is 15,
Three times four is twelve
And three times three is nine and three times two is six.
And three times one... (What is it?)
>> (Three!)
(Yeah) That's a magic number.
A man and a woman had a little baby.
Yes, they did.
They had three in the family.
That's a magic number.
THE FOUR-LEGGED ZOO
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Paul Kimmelman and Associates
We went to the four-legged zoo,
To visit our four-footed friends.
>> Lions and tigers, cats and dogs,
>> A goat and a cow and a couple of hogs
A rhinoceros and of course a hippopotamus,
And, oh yes, a horse.
>> An elk and a bison and a gnu or two,
>> Giraffes and elephants, quite a few.
A llama, alpaca, bicuna too,
Zebras, xebexes, and one big kudu.
It was swell! >> (I liked the gazelles!)
>> (Now Miss Simpson said...)
>> (She teaches school, you know.)
>> (Yeah, she took us there!)
>> (Well Miss Simpson said...)
>> (If you counted every head on these quadripeds,
>> then multiplied that number by four,
>> We'd know how many feet went through the door
>> If we turned 'em all loose!)
>> (Oh no, don't do that!)
>> (It's a really groovy zoo.)
>> (But, anyway, what Miss Simpson said,
>> It was a good chance to work with our fours in our head.
>> One, two, three, four!)
I'll take a lion... >> One times four
He's got four legs and maybe a roar.
>> Gimme two camels, that's two times four
>> Eight legs walking 'cross the desert floor.
A tiger and a lamb and a fat kudu
Would be three times four >> Equals 12 legs too
But then I had to subtract when that tiger was through... Rowwwr!
Four four-footed friends, no matter who
Would have 16 legs, And it's always true...
>> That four times four equals 16.
>> Five times four is 20.
(Now a coach and six, if you were Cinderella, would have you home
by midnight, if those 24 legs ran fast as light...)
>> Six times four equals 24...
>> Seven times four equals 28...
Anyone knows that, who cares about seven.
And 8 antelope have 32 legs 'cause eight times four is 32.
Here come a small herd of buffalo,
They say they're gettin' extinct, y'know.
>> I can count nine, that's 36 legs, Nine times four equals 36.
>> Here comes a baby buffalo.
That's good! That's ten.
And ten times four, y'know, is 40....
Eleven coyotes >> Eleven times four,
Went slinking over the prairie floor on all of their legs...
>> Equals 44.
Now twelve times four is as high as we go...
>> Twelve times four equals 48.
But there were so very very many many more
Animals standing there by the gate.
But we'd have to use a pencil if we counted them all
And we really had fun, and we saw every one:
>> A bear, a cougar, a jackal, a yak,
>> A fox, some deer, and a sweet giraffe
But I can't remember how many, many more,
But we multiplied them all by four.
And some of them thanked us with a roar.
FIVE, READY OR NOT, HERE I COME
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Paul Kimmelman and Associates
(Now everybody try to find a good hiding place.
This old tree is gonna be the base.
I'm gonna close my eyes, and hide my face,
And count to a hundred by fives.
Ready, go!)
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,
85, 90, 95, 100, ready or not, here I come.
Apples, peaches, pumpkin pie,
Who's not ready, haller "Aye"... >> (Aye!)
(Aw, alright, I'll count it again, but ya better get hid, kid.
Here we go:)
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,
85, 90, 95, 100, 105, 110, 115, 120. (There.)
A bushel o' wheat, and a bushel o' rye,
Who's not hid, haller "Aye"....
Twenty nickels makes a dollar.
I didn't hear any anybody haller.
Five times twenty is one hundred,
Everybody got to be hid.
All eyes open, here I come. Woo!
(Multiplying by five is a little like countin' by five. In fact,
if you counted along on your fingers as you counted out loud by
fives, your fingers would tell you how many fives, you got.
Ok, let's count it together. Count on your fingers, one finger
for each count out loud. Get set, ready, go!)
5, 10, 15, 20...
(Stop! 20. You got four fingers, see, that means four times five
is 20. Let's try another one. Get set, ready, go!)
5, 10, 15, 20, 25, 30, 35...
(Stop! 35. Seven fingers, that's right, seven times five is 35.
Okay, let's try a longer one. Now when you run out of fingers, at
50, you see, because ten times five is 50, then start over with the
same fingers and remember that you owe 10. Get set, ready, go.)
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
(Stop! Ten and two, right? That's twelve fingers, 12 times five
is 60. See how it works?
Now you may notice that if you multiply five by an even number, your
product will end in zero, and if you multiply five by an odd number,
your product will end in five.
Ok, now let's do one more game of counting by fives on our fingers.
This is a long one. Keep going. Get set, ready, go!)
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85...
(Stop! 85 -- seventeen fingers.
Look at that boy with 17 fingers stickin' up. How d'ya do that,
kid? Anyway, five times 17 *is* 85.
See, that's three fives short of a hundred. If you had three more
nickels, 15 cents, then added the 15 to the 85, you'd get a hundred.
Right?)
Cause five times 20 is 100,
Everybody gotta be hid, it's...
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,
85, 90, 95, 100. Ready or not -- here I come!
I GOT SIX
Music & Lyrics: Bob Dorough
Sung by: Grady Tate
Animation: Paul Kimmelman and Associates
I got six, that's all there is.
>> Six time one is six; one times six.
He got six. I put mine with his, and we got twelve.
>> Six time two is twelve; two times six.
I got six, you got six, she got six.
(We got eighteen altogether, if we can get 'em all together.)
>> Six time three is eighteen; three times six.
I got six in my right hand, six in my left hand, six on my head.
(You got six in your pocket. Put 'em all on the floor, that's 24.)
>> Six time four is 24; four times six.
I got six red hens, they laid five eggs each.
(All the eggs hatched out and the yard was full of 30 little chicks.)
>> Six time five is 30; five times six.
One fine day, they all started in to lay.
(I got 36 eggs, and I took 'em in the house, and I put 'em in boxes.
Six eggs each, six boxes.)
>> Oh, six times six is 36; six times six.
(Goin' to the candy store...
I'll take six of these, and six of those,
And six of them, and six of the others.
And also six of the red, six of the white, and six of the blue.
Put 'em in one bag, that's 42.)
>> Six times seven is 42;
Seven times six.
>> Oh, goin' downtown, pickin' up sticks!
>> I made 8 tricks, and didn't miss a lick.
Six times eight is 48; eight times six.
Nine hungry men had six dollars each. >>Awwh!
(That's 54 bucks, but they were outta luck,
'Cause 54 bucks won't buy dinner downtown, not for nine.)
Then there were six hungry men, they had nine dollars each. >>Yeah!
(And they went downtown, and the waiter said "Sit down,"
For it makes a big difference how you spread it around.)
>> Six time nine is 54; nine times six.
See that prince over there? >>Yeah!
The one with the fuzzy hair.
(He got six rings on every finger
.
He don't wash no dishes, not with 60 diamonds.)
>> Six time ten is 60; ten times six.
He brought along eleven camels, ain't that nice? >>Ain't that nice?
(Each one loaded down with six casks of oil and spice.
Brought quite a price.)
>> Six time eleven is 66; eleven times six.
He had twelve wives, he better be rich!
(Each one had six kids, six children each.)
>> Six time twelve is 72; twelve times six.
But me, I got six. >> I got six!
That's all there is. >> That's all there is!
Six times one is six; one times six.
I got six! >> I got six!
That's all there is. >> That's all there is!
LUCKY SEVEN SAMPSON
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Paul Kimmelman and Associates
Now you can call me Lucky 'cause Lucky's my name,
Singin' and dancin', that's my game.
I never did a whole day's work in my life,
Still everything seems to turn out right.
Like a grasshopper on a summer's day,
I guess I love to play, and pass the time away.
'Cause I was born 'neath a lucky star!
(They said I'd go far...)
Makin' people happy, that's my favorite game,
Lucky Seven is my natural name.
Slippin' and slidin' my whole life through
Still I get everything done that I got to do.
'Cause I was born 'neath a lucky star!
(School is where you are? Aww, that's not hard, lemme show ya
something.)
You multiply seven time one,
I got seven days to get that problem done.
Multiply seven time two,
Take 14 laughs when you're feelin' blue.
Multiply seven time three,
A 21-day vacation, you can play with me.
Multiply seven time four,
You got 28 days, that's-a one month more,
To pay the mortgage on your store, don't worry!
(Somethin'll turn up, yeah!)
Multiply seven time five,
I don't know how you did it, but man alive, that's 35.
Multiply seven time six,
Grab a stick and make-a 42 clickety-clicks.
Multiply seven time seven,
Take 49 steps right up to seventh heaven.
Multiply seven time eight,
They got 56 flavors and I just can't wait...
Multiply seven time nine,
63 musicians, all friends of mine.
Multiply seven time ten,
And that brings you right back to 70 again.
(You know, I think that's important, there's a trick there
somewhere...)
Multiply seven time eleven,
Even a rabbit knows that 70 plus 7.
Multiply seven time twelve,
You got 84, and isn't that swell.
I'm gonna try seven times 13 just for fun:
70 plus 21.
Seven times 14 must be great,
Well, exactly that's-a 70 plus 28.
Seven times 15, man alive,
That's 70 plus 35, a hundred and five!
(Man, this stuff is simple, no jive, you got it! Now I gotta fly.
'Scuse me folks, I'm sayin' goodbye,
I sure do thank you for the huckleberry pie.
Take it home, boys!)
Remember Lucky Seven Samson, that's my natural born name,
If you should ask me again, I'll have to tell you the same.
You'll wake up tomorrow, you'll be glad that I came,
'Cause you'll be singin one of the songs that I sang.
So keep a happy outlook and be good to your friend,
And maybe I'll pass this way again!
(Maybe... Bye!)
FIGURE EIGHT
Music & Lyrics: Bob Dorough
Sung by: Blossom Dearie
Animation: Paul Kimmelman and Associates
Figure eight, as double four.
Figure four, as half of eight.
If you skate, you would be great,
If you could make a figure eight.
That's a circle that turns 'round upon itself.
One times eight is two times four.
Four times four is two times eight.
If you skate upon thin ice,
You'd be wise, if you looked twice
Before you made another single move.
One times eight is eight, two times eight is 16
Three times eight is 24, four times eight is 32
And five times eight is 40, you know.
Six times eight is 48, seven times eight is 56,
Eight times eight is 64, nine times eight is 72,
And ten times eight is 80, that's true.
Eleven times eight is 88, and twelve times eight is 96.
Now here's a chance to get off on your new math tricks:
'Cause twelve times eight is the same as ten times eight
Plus two times eight:
(80 plus 16, ninety-six!)
One times eight is eight, two times eight is 16
Three times eight is 24, four times eight is 32
And five times eight is 40, you know.
Figure eight, as double four.
Figure four, as half of eight.
If you skate, you would be great,
If you could make a figure eight.
That's a circle that turns 'round upon itself.
Place it on its side and it's a symbol meaning infinity.
NAUGHTY NUMBER NINE
Music & Lyrics: Bob Dorough
Sung by: Grady Tate
Animation: Paul Kimmelman and Associates
Number nine will put you on the spot.
Number nine will tie you up in a knot.
When you're trying, multiplyin' by nine
You might give it everything you got
And still be stopped.
If you don't know some secret
Way you can check on,
You'll break your neck on
Naughty number nine.
(Now the first thing to keep in mind,
When you're multiplying by nine
Is that it's one less than ten.
You see, nine is the same as ten minus one.
So you could multiply your number by ten
And then subtract the number from the result,
And you'd get the same product as if you'd multiplied by nine,
And you knew it.
I mean, eight times nine is 80 minus eight,
And seven times nine is 70 minus seven,
And six times nine is 60 minus six.
You could use those tricks.)
Cause you must have some secret
Way you can beat it,
Or else you'll meet it
With naughty number nine.
(Of course, it doesn't hurt to know the table of nines by memory.
It goes like this:)
One times nine is nine, and two times nine is 18.
Mean ol' number nine.
Three times nine is 27, and four times nine is 36.
Five times nine is 45, and six times nine is 54,
And seven times nine is 63.
Eight times nine is 72, and nine times nine is 81,
And ten times nine is 90.
(Now the digit sum is always equal to nine.
I mean, if you add two and seven, the digits, you get nine:
the digit sum. That's true of any product of nine.
If they don't add up, you've made a mistake.)
'Cause you must have some secret way you can check it
Or else you'll wreck it
With naughty, nasty, mean ol' number nine.
ZERO, MY HERO
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Animation: Focus Design, Inc.
>> (Zero?)
(Yeah. Zero is a wonderful thing. In fact, zero is my hero.)
>> (How can zero be a hero?)
(Well, there are all kinds of heroes, you know.
A man can get to be a hero for a famous battle he fought.
Or by studying very hard and becoming a weightless astronaut.
And then there are heroes of other sorts,
Like the heroes we know from watching sports.
But a hero doesn't have to be a grown up person, you know.
A hero can be a very big dog who comes to your rescue.
Or a very little boy who's smart enough to know what to do.
But let me tell you about my *favorite* hero...)
My hero, zero.
Such a funny little hero,
But till you came along, we counted on our fingers and toes.
Now you're here to stay,
And nobody really knows
How wonderful you are,
Why we could never reach a star,
Without you zero, my hero,
How wonderful you are.
>> (What's so wonderful about a zero? It's nothing, isn't it?)
(Sure, it represents nothing alone.)
But place a zero after 1
And you've got yourself a 10.
See how important that is?
When you run out of digits,
You can start all over again.
See how convenient that is?
That's why, with only ten digits, including zero,
You could count as high as you could ever go...
Forever, towards infinity...
No one ever gets there, but you could try.
10 billion zeros,
From the cavemen till the heroes who invented you,
They counted on their fingers and toes
(And maybe some sticks and stones)
>> (Or rocks and bones)
(And their neighbors' toes, yeah)
And nobody really knows
How wonderful you are,
Why we could never reach the star,
Without you, zero, my hero,
Zero, how wonderful you are.
Place one zero after any number,
And you've multiplied that number by 10.
See how easy that is?
Place two zeros after any number,
And you've multiplied that number by 100.
See how simple that is?
Place three zeros after any number,
And you've multiplied that number by 1000.
Et cetera, et cetera.
Ad infinitum, ad astra, forever, and ever,
With zero, my hero, how wonderful you are!
THE GOOD ELEVEN
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Good, good, good, good... the good eleven
It's almost as easy as multiplying by one.
Good, good, good, good eleven
Yes, eleven almost makes multiplication fun.
Some people get up at a quarter till seven
Other people I've met, till 8:45 or nine.
But I'm happy just a-hanging there till eleven.
Cause eleven has always been a friend of mine.
Good, good, good, good eleven
Never gave me any trouble till after nine.
Good, good, good, good eleven
Eleven will always be a friend of mine.
Now when you get a change to multiply by eleven,
It's almost as easy as multiplying by one.
You don't even have to use a pencil when you use eleven.
And eleven almost makes multiplication fun.
You know why?
Because you get those funny-looking double-digit-doojies as an answer.
Like 22, 33, 44 and 55.
66, 77, 88, and 99 is your answer
When you multiply 11 by 2, 3, 4, 5, 6, 7, 8 and 9.
Good, good, good, good eleven
Never gave me any trouble till after nine.
Good, good, good, good eleven
I can always get the answer easy every time.
Now eleven times ten is the same is ten times eleven.
It's 110, no matter what you do.
And 121 is the answer to eleven times eleven.
And eleven times twelve is 132.
Eleven thirteens are 143 now (that's-a 1-4-3).
Eleven fourteens are 154 (dig it, that's 1-5-4),
1-6-5 and 1-7-6 are fifteen and sixteen.
You'd better pick up on the latter 'cause I ain't got time to tell you
any more.
I've got a date with the good eleven...
She never gave me any trouble till after nine.
Good, good, good, good eleven
Yes, eleven will always be a friend of mine!
LITTLE TWELVETOES
Music & Lyrics: Bob Dorough
Sung by: Bob Dorough
Now if man had been born with 6 fingers on each hand, he'd also have
12 toes or so the theory goes. Well, with twelve digits, I mean
fingers, he probably would have invented two more digits when he
invented his number system. Then, if he saved the zero for the end,
he could count and multiply by twelve just as easily as you and I do
by ten.
Now if man had been born with 6 fingers on each hand, he'd probably
count: one, two, three, four, five, six, seven, eight, nine, dek, el,
doh. "Dek" and "el" being two entirely new signs meaning ten and
eleven. Single digits! And his twelve, "doh", would be written 1-0.
Get it? That'd be swell, for multiplying by 12.
Hey little twelvetoes, I hope you're well.
Must be some far-flung planet where you dwell.
If we were together, you could be my cousin,
Down here we call it a dozen.
Hey little twelvetoes, please come back home.
Now if man had been born with 6 fingers on each hand, his children
would have 'em too. And when they played hide-and-go-seek they'd
count by sixes fast. And when they studied piano, they'd do their
six-finger exercises. And when they went to school, they'd learn the
golden rule, and how to multiply by twelve easy: just put down a
zero. But me, I have to learn it the hard way.
Lemme see now:
One times 12 is twelve, two times 12 is 24.
Three times 12 is 36, four times 12 is 48, five times 12 is 60.
Six times 12 is 72, seven times 12 is 84.
Eight times 12 is 96, nine times 12 is 108, ten times 12 is 120.
Eleven times 12 is 132, and 12 times 12 is 144. WOW!
Hey little twelvetoes, I hope you're thriving.
Some of us ten-toed folks are still surviving.
If you help me with my twelves, I'll help you with your tens.
And we could all be friends.
Little twelvetoes, please come back home.