In my previous post I discussed the different ways of doing addition.
We also lectured on number properties. The first property is the Identity Property for Addition, which means for any whole number b, 0+b=b+0=b
and 0 is a unique identity for addition. so basically this would be 0+ any whole number would = that whole number.
0+36=0
36+0=36
So that's pretty simple.
The second property is called the Associative Property for Addition.
This means a+(b+c) = (a+b)+c
Notice that we are just moving the parenthesis, not the letters!
This is a video to help you understand this concept.
The last concept that we discussed is called that Commutative Property. This means for any whole numbers a and b, a+b=b+a
So basically, it doesnt matter which ways you put the numbers your going to get the same out come.
2+3=5
3+2=5
The properties seem easy for me to memorize, however i have a hard time keeping the names straight. I always mix of commutative and associative. I think its because they are so similar. Also, when I was working at a preschool, i noticed that the children had a hard time understanding that 3+2=5 but so does 2+3. 3+2 always seemed to equal 6, but 2+3 was equal to 5. That is a false statement, but that's the answers the children would put. I'm not saying this concept is difficult for all children, it just seems to be the most common struggle.
ReplyDeleteGood way to remember, "we are moving the parenthesis, not the letters" Thanks! These videos are very helpful, its always nice to have a visual!
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