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### Review of the Identity, Commutative, and Associative Properties of Addition

7 + 0 = 0 Identity
0 + 5 = 5 Identity
a + 0 = a Identity
3 + 0 = 3 Identity
12 + 0 = 12 Identity
0 + 9 = 9 Identity
0 + 15 = 15 Identity
0 + a = a Identity
11 + 0 = 11 Identity
8 + 0 = 8 Identity
4 + 5 = 5 + 4 Commutative
2 + 1 = 1 + 2 Commutative
a + b = b + a Commutative
16 + 4 = 4 + 16 Commutative
9 + 2 = 2 + 9 Commutative
3 + 6 = 6 + 3 Commutative
b + a = a + b Commutative
red + blue = blue + red Commutative
yellow + nothing else = yellow Identity
me + no one = me Identity
purple + orange = orange + purple Commutative
six + three = three + six Commutative
twelve + zero = twelve Identity
ten + two = two + ten Commutative
(6 + 5) + 2 = 6 + (5 + 2) Associative
To have the ability to travel around, or commute, in a math sentence Commutative
To have the ability to change groupings, or associations, with other numbers in a math sentence Associative
To have the ability to maintain the same number, or identity, when added to zero in a math sentence Identity
A property that says you can keep a number's identity when it is added to zero Identity
A rule in math that allows you to write the same number as the answer when you add that number to zero Identity
A rule in math that lets you regroup numbers in any order when you are adding Associative
A property that says you can group addends in any way and still get the same sum Associative
A rule in math that lets you move the numbers around in any order when working with an addition problem Commutative
A property that says you can rearrange numbers in an addition sentence in any order and the results will still be the same Commutative
5 + (8 + 2) = (5 + 8) + 2 Associative
7 + (10 + 20) = (7 + 10) + 20 Associative
(3 + 11) + 6 = 3 + (11 + 6) Associative
(3 + 4) + 3 = 3 + (4 + 3) Associative
9 + (15 + 2) = (9 + 15) + 2 Associative
a + (b + c) = (a + b) + c Associative
red + (blue + yellow) = (red + blue) + yellow Associative
(one + two) + five = one + (two + five) Associative
chair + stool = stool + chair Commutatuve
chair + (table + lamp) = (chair + table) + lamp Associative
16 + (7 + 5) = (16 + 7) + 5 Associative
a + o = a Identity
a + b = b + c Commutative
(a + b) + c = a + (b + c) Associative
a + 0 = a Identity
a + b = b + c Commutative
(a + b) + c = a + (b + c) Associative
States that the sum of zero and any number or variable is the number or variable itself Identity
When zero is added to any real number the number remains unchanged, i.e. it does not looses its identity Identity
Tells us that with addition we can group numbers in any way we want and still get the same answer Associative
When three or more numbers are added, the sum is the same regardless of the grouping of the addends Associative
The sum of any number and zero is the original number Identity
When two numbers are added, the sum is the same regardless of the order of the addends Commutative
A property of real numbers which states that the sum of two terms is unaffected by the order in which the terms are added Commutative
This property means that addends can be added in any order and the sum is always the Commutative
An addition property that says changing the order of addends does not change the sum, for example, if a and b are two real numbers, then a + b = b + a Commutative
It does not matter if you put your left shoe on and then your right, or your right shoe on and then your left. The result is exactly the same. Either way, you go from a state of not wearing shoes, to a state of wearing shoes. Commutative
In addition, this is when two items give the same result regardless of order they appear. Commutative
Q + P = P + Q Commutative
You are paying for an item that costs \$6. Regardless of whether you hand the cashier \$1 first and then \$5 OR you hand her \$5 first and then \$1, the amount you handed her is the same, \$6. This demonstrates which property? Commutative
You have 2 apples. Your friend gives you zero apples. Therefore, the total number of apples you have remains the same, 2 apples. This demonstrates which property? Identity
y + z = z + y Commutative
When adding zero to any number, the quantity does not change. Identity
Zero becomes the same as whatever number is added to it. Identity
Rearranging the grouping parentheses in an addition sentence will not change its total value. Associative
In making a cake, you can mix the eggs and the sugar together first and then add the oil OR you can mix the oil and sugar together first and then add the eggs and the result will be the same either way. This demonstrates which math property? Associative
y + (z + n) = (y + z) + n Associative
(Q + P) + S = Q + (P + S) Associative
This property of addition simply says that the way in which you group three or more numbers when adding them up does not affect the sum Associative
Created by: OhanaTribe