LESSON 4.2
Name
Addition Properties
You can use a number line to show the Commutative and
Associative Properties.
Commutative or Order Property
Numbers can be added in any
order and the sum will be the same.
Associative or Grouping Property
The ways addends are grouped
does not change the sum.
426
(2 1) 4 7
0
1
2
3
4
5 6
246
0
1
2
0
7 8
1
2
3
4
5 6
7 8
5 6
7 8
2 (1 4) 7
3
4
5 6
0
7 8
1
2
3
4
Identity or Zero Property
When you add zero to any number, the sum is that number.
Tell which property is shown in each equation below.
1.
36 22 22 36
Commutative
2.
0 215 215
Identity
3.
64 0 64
Identity
4.
(4 25) 5 4 (25 5)
Associative
5.
2 (8 6) (2 8) 6
Associative
6.
144 42 42 144
Commutative
© Harcourt
Find the missing number, and tell which addition property you used.
7.
3 (9 7) (3 9 ) 7
Associative
9.
8 18 18 8
Commutative
11.
13 26 26 13
Commutative
8.
10.
12.
0 104 104
Identity
(4 8) 2 4 (8 2)
Associative
95 0 95
Identity
Reteach
RW17
LESSON 4.2
Name
Addition Properties
You can use a number line to show the Commutative and
Associative Properties.
Commutative or Order Property
Numbers can be added in any
order and the sum will be the same.
Associative or Grouping Property
The ways addends are grouped
does not change the sum.
426
(2 1) 4 7
0
1
2
3
4
5 6
246
0
1
2
0
7 8
1
2
3
4
5 6
7 8
5 6
7 8
2 (1 4) 7
3
4
5 6
0
7 8
1
2
3
4
Identity or Zero Property
When you add zero to any number, the sum is that number.
Tell which property is shown in each equation below.
1.
36 22 22 36
Commutative
2.
0 215 215
Identity
3.
64 0 64
Identity
4.
(4 25) 5 4 (25 5)
Associative
5.
2 (8 6) (2 8) 6
Associative
6.
144 42 42 144
Commutative
© Harcourt
Find the missing number, and tell which addition property you used.
7.
3 (9 7) (3 9 ) 7
Associative
9.
8 18 18 8
Commutative
11.
13 26 26 13
Commutative
8.
10.
12.
0 104 104
Identity
(4 8) 2 4 (8 2)
Associative
95 0 95
Identity
Reteach
RW17