Properties.notebook
March 04, 2014
Additive Identity (Identity Property of Addition)
The sum of zero and any number is that number.
6 + 0 = 6
0 + 10 = 10
Multiplicative Identity(Identity Property of One)
The product of 1 and any number is that number.
6 x 1 = 6
10 x 1 = 10
1
Properties.notebook
March 04, 2014
Commutative Property:
Addition: Two or more numbers can be added in any
order without changing the sum.
8 + 20 = 20 + 8
Multiplication: Two or more numbers can be
multiplied in any order without changing the product.
6 x 12 = 12 x 6
2
Properties.notebook
March 04, 2014
Associative Property:
Addition: For three or more numbers, their sum
is always the same regardless of their grouping.
(2+3)+8=2+(3+8)
Multiplication: For three or more numbers,
their product is always the same regardless of
their grouping.
(2x3)x8=2x(3x8)
3
Properties.notebook
March 04, 2014
Distributive Property: If you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products.
5(20+1)=5(20)+5(1)
4
Properties.notebook
March 04, 2014
Hold up the card that matches the property illustrated in each item
1. 13+9+7+11=9+7+11+13
Commutative +
2. 4x16x5=4x5x16
Commutative x
3. 3x(2x6)=(3x2)x6
Associative x
4. 4(8+5)=4x13
Distributive
5. 3(8+4)=(3x8)+(3x4)
Distributive
5
Properties.notebook
March 04, 2014
6. 11x8=8x11
Commutative x
7. (7x24)=(7x20)+(7x4)
Distributive
8. 7+0=7
Additive Identity
9. 9x1=9
Multiplicative Identity
10. 3x(9x8)=(3x9)x8
Associative x 6