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Conditional Statements 2509 Views


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Description:

If you already know what a conditional statement is, then you're smarter than you look. And boy do you look smart.

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Transcript

00:04

Conditional Statements, a la Shmoop Some statements we make are more than just

00:09

statements of fact or fiction.

00:11

Like… “Grandma, you look incredible after your makeover.” Who’s to say which category

00:16

that particular statement belongs to?

00:21

Some statements are conditional.

00:23

Conditional statements are "If-Then" statements that have two parts: a hypothesis and conclusion.

00:30

The hypothesis comes after the "if" and tells us the condition that must be satisfied. The

00:37

conclusion comes after the "then" and tells us what happens if the hypothesis is true.

00:43

They usually take the form: "If hypothesis, then conclusion."

00:47

"If I do well on all my tests, then I will get all A's this semester."

00:51

"If it walks like a duck and quacks like a duck, then it's probably a duck."

00:56

"If you liked it, then you should have put a ring on it."

01:00

Keep in mind that a conditional statement is only applicable if the hypothesis is true.

01:06

If you liked it, then you should have put a ring on it.

01:09

But we can't tell you what you should or shouldn't have done if you didn't like it. That's for

01:13

Beyoncé to decide. Of course, mathematicians prefer numbers and

01:17

symbols to long and complicated sentences…

01:19

…so they came up with a way of representing conditional statements in a different way.

01:23

The statement "If hypothesis P, then conclusion Q" can represented by drawing an arrow from

01:30

P to Q. But not all conditional statements take the

01:34

"If-Then" form.

01:35

Some of them might look like, "All hypothesis conclusion" or "Conclusion whenever hypothesis."

01:43

Sneaky little devils.

01:44

How can we write, "All dogs go to heaven" in P Q form?

01:49

First, let's write it as an If-Then statement.

01:52

All dogs go to heaven means that…

01:54

…if we're talking about a dog, then it will go to heaven.

01:58

We want to put that statement into P Q form, which looks like this.

02:01

So really, all we need to do is replace our P with our hypothesis and Q with our conclusion.

02:08

Since our statement is, "If it is a dog, then it will go to heaven"…

02:11

…our hypothesis is, "It is a dog"…

02:13

…and our conclusion is, "it will go to heaven."

02:17

Draw an arrow in between them, and we've done it. We can even condense it further and maybe

02:22

save a few trees. We have one last conditional statement for

02:26

you before you go.

02:27

IF you learned something from this video, THEN you just got a little bit smarter.

02:32

We did say a little bit.

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