6 + 4 = 10

or

6 + 4 = 9

 

Both problems cannot be right!  One is TRUE and one is FALSE!

 

In Math, sometimes you are asked to say if a number model, or a mathematical statement,  is True or False.  Let's look at some examples where it would be good to know if a something is true or false.

 

 

John wanted to buy two candy bars and has $2.00.  Each bar cost $0.85. The clerk says he does not have enough money to buy the two candy bars and shows John the following statement as proof.

$0.85 + $0.85 = $16.10     Is this True or False?

You know that $0.85 + $0.85 = $1.70 and you can prove it by using coins and adding correctly!
So the clerk was wrong, and you can afford those candy bars!

Here's another example of a math statement that you can  prove to be right or wrong.

Andy wants to go to the park to swing. His mom needs him to be home by 3:00.  He asks his friend Jay  what time it is.

Jay says it is 3:30. 

Andy looks at the clock and it looks like this: 

Is Jay's  time of 3:30 true or false? Because you can tell time, you know his statement is false and Andy will be home on time!

So you see there are some times when math statements can be true and some times when he statements are false.

I do have enough money for 2 candy bars!  True math statement!  $0.85 + $0.85 < $2.00
I can tell time so I will be home on time! True math statement! 3:00 is when the little hand is on three and the big hand is on 12

 

 
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