Properties of Addition
Day 1
Properties

Today you are going to learn three
properties of addition. Properties of
addition are rules that you follow
when you add.
1) Zero Property of
Addition:
When you
solve these 4
problems,
you use the
zero property
of addition.
7+0=7
0+99=99
56+0=56
12+0=12
When you add zero to a number, the
sum is that number.
Please write the Zero Property
of Addition in your notes.
1.) Zero Property of Addition:
When you add zero to a number,
the sum is that number.
Examples: 0+19= 19 2,567+0= 2,567
2) Commutative Property
of Addition:
When you
7+5=12
solve these
problems,
you use the
34+99
Commutative
Property of
Addition.
100+27 = 127
5+7=12
= 99+34
27 +100=127
When you change the order of the
addends the sum stays the same.
Please write the Commutative
Property of Addition in your
notes.
2.) Commutative Property of
Addition:
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?
Zero Property of Addition
0 + 7 = 7 ________________________
Commutative Property of Addition
7 + 9 = 9 + 7 ______________________
Commutative Property of Addition
12+99=99+12 ______________________
Zero Property of Addition
0 + 5,012,456= 5,012,456 _____________
3) Associative Property of
Addition:
When you
solve this
problem, you
use the
Associative
Property of
Addition.
*Remember: Add the numbers in
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?
Please write the Associative
Property of Addition in your
notes.
3.) Associative Property of Addition:
When you change the way the
addends are grouped, the sum
stays the same.
Example: (3+7)+10 = 20
3 + (7+10) = 20
Practice: Which property is
being used to solve these
problems?
Zero Property of Addition
0 + 29 = 29 ________________________
Commutative Property of Addition
17 + 19 = 19 + 17 ______________________
Associative Property of Addition
12+(99+3) = 12 + (99+3) ______________________
6 + (7 + 19) + 8 = (6 +7) + 19 + 8
Associative Property of Addition
_____________________
Homework

Complete Homework worksheet 3.1