### Properties of Addition PowerPoint Day 1

```Properties of Addition
Day 1
Properties

Today you are going to learn three
addition are rules that you follow
1) Zero Property of
When you
solve these 4
problems,
you use the
zero property
7+0=7
0+99=99
56+0=56
12+0=12
When you add zero to a number, the
sum is that number.
When you add zero to a number,
the sum is that number.
Examples: 0+19= 19 2,567+0= 2,567
2) Commutative Property
When you
7+5=12
solve these
problems,
you use the
34+99
Commutative
Property of
100+27 = 127
5+7=12
= 99+34
27 +100=127
When you change the order of the
addends the sum stays the same.
notes.
2.) Commutative Property of
When you change the order of the
addends, the sum stays the same.
Example: 5+7=12
7+5=12
Practice: Which property is
being used to solve these
problems?
0 + 7 = 7 ________________________
7 + 9 = 9 + 7 ______________________
12+99=99+12 ______________________
0 + 5,012,456= 5,012,456 _____________
3) Associative Property of
When you
solve this
problem, you
use the
Associative
Property of
the parentheses FIRST.
12 + (2 + 5) = (12 + 2) + 5
12 +
19
7
=
14
+5
19
When you change the way addends are
grouped, the sum stays the same.
The associative property
helps with mental math.
Use the associative property to solve
these problems mentally.
146
75 + 25 + 46 = __________________
*Which two numbers did you add first? Why?
521
92 + 421 + 8 = __________________
*Which two numbers did you add first? Why?
845
422 +345 + 78 = __________________
*Which two numbers did you add first? Why?
notes.
When you change the way the
stays the same.
Example: (3+7)+10 = 20
3 + (7+10) = 20
Practice: Which property is
being used to solve these
problems?
0 + 29 = 29 ________________________