Translating Word Statements to Math

>> Professor Perez: Hey!
This is Professor Perez again.
Today we're going to work on translating word statements to math.
And of course, we cannot have a class without our student of the semester, and that's Charlie.
I believe this is his favorite subject!
Hey, Charlie, what are you doing over there?
>> Charlie: Huh?
>> Professor Perez: Uh-huh!
Got your microphone with you?
That's right.
Now, what Charlie has over there is the magical mathematics microphone.
Now that microphone will translate whatever you say into English or into math.
Watch, we're going to go ahead and use that today in our lecture series video
which is translating word statements to math.
Okay Charlie, are you ready to go?
>> Charlie: Yeah!
>> Professor Perez: All right, here we go.
Right here, translating word statements to math.
Now, take out your microphone, make sure it's on and right now put it in English mode, okay.
And go ahead and say whatever you want.
>> Charlie: My name is Charlie!
> Professor Perez: That's right, very nice, there Charlie!
>> Charlie: Shazaam!!!
>> Professor Perez: Quit fooling around over there Charlie.
All right.
We're not done calibrating this thing yet, okay?
So, uh...go ahead and say whatever you want.
>> Charlie: I'm going to get an A in this class!
What?
>> Professor Perez: The computer never lies, Charlie.
That's right!
>> Charlie: I don't like doing these word problems!
>> Professor Perez: Uh-huh, there you go!
There's your answer, Charlie.
All right, anyway, let's get to work.
We've got a lot of stuff to do.
Okay, Charlie, go ahead now make sure you put your microphone into math mode now
and go ahead and read this sentence slowly.
Remember, the microphone will translate whatever you say into math.
Okay, go ahead, Charlie.
>> Charlie: The sum...of 3...and 8.
>> Professor Perez: Very nice there Charlie!
Let's do another one.
>> Charlie: The sum...of 7...and 12.
>> Professor Perez: Very nice there.
Okay, let's do another one.
This time, we're going to difference.
Now, remember, the word sum means addition and difference means subtraction.
Okay, Charlie, here we go, go ahead.
>> Charlie: The difference...of 7...and 12
>> Professor Perez: Very nice there Charlie.
All right.
Now, let's do another one, Charlie.
Here we go.
>> Charlie: The sum...of 5...
>> Professor Perez: Very nice.
>> Charlie: and 3.
>> Professor Perez: Now, notice here when you translate there's a specific order
that you have to put the numbers in.
When you have the sum of 5 and 3, notice the 5 comes first and then the 3.
Okay, go ahead and read this next one, Charlie.
>> Charlie: The sum...of 3...and 5.
>> Professor Perez: Very nice there.
Now notice here we have the sum of 3 and 5 and notice that the 3 is first and then the 5.
But realize, Charlie, okay, we're not concerned about the answers yet.
We're only concerned about translating the word statements into math.
But realize, yes, 5 plus 3 is the same as 3 plus 5.
They both equal 8.
Now, by the way, what property is that up there, Charlie?
>> Charlie: The com...mut...tative?
>> Professor Perez: It's the Commutative Property of Addition that says,
that 5 plus 3 is the same as 3 plus 5, that's true, okay?
Now, remember, we're just worried about translating the word statements into math.
Okay, do this one, Charlie, there's an x in there.
Don't get scared.
Just read and the microphone will do his job.
>> Charlie: The sum...of x...and 8.
>> Professor Perez: Okay, very nice there Charlie.
Now, let's do some more.
Okay, let's uh, simplify some of the graphics here, let me make an adjustment here.
And we're going to go into underline mode, so, you'll see what I mean.
Okay, Charlie, go ahead and read and translate.
>> Charlie: The difference...of 5 and 3.
>> Professor Perez: Very nice, there, Charlie.
Let's do another one.
>> Charlie: The difference...of 3 and 5.
>> Professor Perez: Okay, now realize with these two differences, now,
here the order is very important, okay, because the first one is the difference of 5 and 3.
Charlie, what is 5 subtract 3?
>> Charlie: 2.
>> Professor Perez: That is 2 for the first one, right?
But notice in the second one here, the difference of 3
and 5, okay, what is 3 subtract 5?
>> Charlie: Negative 2?
>> Professor Perez: That's negative 2.
So remember, 5 subtract 3 is 2 and 3 subtract 5 is negative 2.
Okay, these are two different answers.
It doesn't work the same as when we were adding numbers.
Remember, 5 plus 3 and 3 plus 5 is 8, but you cannot do this with the difference.
5 subtract 3 is 2.
3 subtract 5 is negative 2, so don't make those mistakes.
Okay, Charlie, let's go to this one over here,
this difference of, go ahead and read and translate.
>> Charlie: The difference...of n...and 4.
>> Professor Perez: Very nice there Charlie.
Okay, now, here's our next example here now, here, we're going to bring in an equal sign.
Now remember, the word is means equals.
Watch this.
Okay Charlie, go ahead and read and let the microphone do its job.
>> Charlie: The sum...of 5...and 3...is...8.
>> Professor Perez: Uh-huh, there you go!
Right there is the sum of 5 and 3 is 8.
Very nice Charlie.
Let's do another one.
>> Charlie: The difference...of 2...and 7...is...negative 5.
>> Professor Perez: Very nice there Charlie.
Yes, and the difference of 2 and 7 is negative 5.
Okay, here we go Charlie, we've got a couple more to do, now bring us home!
>> Charlie: The sum...of 5...and 3...and 6...is...14.
>> Professor Perez: Very nice here.
Now here, we have three numbers being summed, right?
The sum of 5, 3, and 6 is 14.
Okay, Charlie.
Now one more to go, here we go.
>> Charlie: The difference...of 9...3...and 4...is...2.
>> Professor Perez: Very nice there Charlie.
So there we go.
Now there's our lecture on translating word statements into math.
Our next lecture, we're going to in reverse.
We're going to be given a math statement and we have to translate into words.
Anyway, be sure you keep up with your homework and we'll see you all again soon.