Properties of Properties of AdditionAdditionDay 1Day 1

PropertiesProperties

Today you are going to learn Today you are going to learn three properties of additionthree properties of addition. . Properties of addition are rules Properties of addition are rules that you follow when you add.that you follow when you add.

1) Zero Property of 1) Zero Property of Addition:Addition:

7+7+00=7=7 00+99=99+99=99

56+56+00=56=56 12+12+00=12=12

When you add zero to a number, the sum is that number.

When you solve these 4 problems, you use the zero property of addition.

Please write the Zero Please write the Zero Property of Addition in your Property of Addition in your

notes.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 2) Commutative Property of Addition:Property of Addition:

7+5=127+5=12 5+7=125+7=12

34+99 = 99+3434+99 = 99+34

100+27 = 127 100+27 = 127 27 +100=12727 +100=127

When you change the order of the addends the sum stays the same.

When you solve these problems, you use the Commutative Property of Addition.

Please write the Please write the Commutative Property of Commutative Property of Addition in your notes.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 Practice: Which property is being used to solve is being used to solve these problems?these problems?0 + 7 = 7 ________________________0 + 7 = 7 ________________________

7 + 9 = 9 + 7 ______________________7 + 9 = 9 + 7 ______________________

12+99=99+12 ______________________12+99=99+12 ______________________

0 + 5,012,456= 5,012,456 _____________0 + 5,012,456= 5,012,456 _____________

Zero Property of Addition

Commutative Property of Addition

Commutative Property of Addition

Zero Property of Addition

3) Associative 3) Associative Property of Addition:Property of Addition:

When you change the way addends are grouped, the sum

stays the same.

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

712 + 14 + 5=

19 19

The associative The associative property helps with property helps with mental math.mental math.Use the associative property to Use the associative property to

solve these problems mentally.solve these problems mentally.

75 + 25 + 46 = __________________75 + 25 + 46 = __________________

92 + 421 + 8 = __________________92 + 421 + 8 = __________________

422 +345 + 78 = 422 +345 + 78 = ____________________________________

*Which two numbers did you add first? Why?*Which two numbers did you add first? Why?

*Which two numbers did you add first? Why?*Which two numbers did you add first? Why?

*Which two numbers did you add first? Why?*Which two numbers did you add first? Why?

146

521

845

Please write the Associative Please write the Associative Property of Addition in your Property of Addition in your

notes.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) = 203 + (7+10) = 20

Practice: Which property Practice: Which property is being used to solve is being used to solve these problems?these problems?

0 + 29 = 29 ________________________0 + 29 = 29 ________________________

17 + 19 = 19 + 17 ______________________17 + 19 = 19 + 17 ______________________

12+(99+3) = 12 + (99+3) ______________________12+(99+3) = 12 + (99+3) ______________________

6 + (7 + 19) + 8 = (6 +7) + 19 + 86 + (7 + 19) + 8 = (6 +7) + 19 + 8

__________________________________________

Zero Property of Addition

Commutative Property of Addition

Associative Property of Addition

Associative Property of Addition

HomeworkHomework

Complete Homework worksheet Complete Homework worksheet 3.1 3.1