properties of addition

Properties of Addition

Zero Property

The sum of 0 and any number is that number

Commutative Property

Changing the order of addends does not change the sum.

Associative Property or Grouping Property

Changing the grouping of addends does not change the sum.

Lucio helped his father gather eggs in the poultry house. Lucio gathered 5 eggs from the first nest and 4 from the second nest. He got 3 eggs from the third nest. His father gathered the eggs from the other nests. How many eggs did Lucio gather?

To find the answer, we need to add:

5 + 4 + 3 =

When adding three or more numbers, you can group them to find the sum easily.

5 + 4 + 3 = __

Add 5 and 4 first then add 3. Use parentheses to show grouping.

(5 + 4) + 3 = __

9 + 3 = 12

Here is another example:

2 + 8 + 7 = __

(2+8) + 7 = __

10 + 7 = 17

Properties of Addition

Find the sum and type your answer

Open Ended

2 + 0 = __

Open Ended

7 + 0 = __

Open Ended

9 + 0 = __

Open Ended

5 + 0 = __

Open Ended

Type the missing number. 



 $2\ +\ 1\ =\ 1\ +\ ?$  

Open Ended

Type the missing number. 



 $5+4=?+5$ 

Open Ended

Type the missing number. 



 $?\ +\ 3\ =\ 3+6$ 

Open Ended

Type the missing number. 



 $4\ +\ ?\ =\ 6\ +\ 4$ 

Multiple Choice

Click on the addends that add up to the number below.


 $5$  

• 5 + 0

• 4 + 3

Multiple Choice

Click on the addends that add up to the number below.


 $8$  

• 3 + 6

• 8 + 0

Open Ended

Add the numbers in the parenthesis first. Type the sum.

 $4\ +\ \left(7+3\right)=?$  

Open Ended

Add the numbers in the parenthesis first. Type the sum.

 $\left(3+7\right)+9\ =?$  

Open Ended

Add the numbers in the parenthesis first. Type the sum.

 $5\ +\ \left(4+1\right)=?$  

Open Ended

Add the numbers in the parenthesis first. Type the sum.

 $3\ +\ \left(3+2\right)=?$