2.3 Algebra Properties (p.40-41)

Click on the the names of each property to see them explained using models at europa.com
I. Commmutative Property: A property of addition and multiplication that states that if the ORDER of addends or factors is CHANGED, THE SUM OR PRODUCT STAYS THE SAME.

• Addition: 3+9 = 12 = 9 + 3
• Multiplication: 8 x 3 = 24 = 3 x 8
• Watch this video from eHow that explains the commutative property.

II. Associative Property: When adding or multiplying three or more numbers, it doesn't matter the order or how you group your addends or factors because it will not change the sum or product (answer) - it's a lot like the commutative property, but involves more numbers.

• Addition: (8 + 5) + 4 = 8 + (5 + 4) = 17
• Multiplication: (6 x 7) x 2 = 6 x (7 x 2) = 84

III. Distributive Property: When multiplying a sum by a number it is the same as multiplying each addend by the number and then adding the products.

• 4 x (7 +3) = (4 x 7) + (4 x 3) = 40

IV. Identity Property of Addition: the sum of any number and zero is that number.

• 3 + 0 = 3
• 0 + 5 = 5

V. Identity Property of Multiplication: the product of any number and 1 is that number.

• 15 x 1 = 15
• 1 x 9 = 9

Test what you know with this Jeopary style game on Quia.com