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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.
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.
Full Transcript
- 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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