Each Path shown is one foot wide. What is the area of the shaded path?

Properties of Numbers

4 Main Properties of Numbers Communicative Property Associative Property Identity Property Inverse Property

Commutative Property?

Commutative Property Click Here Means changing the order in which you add numbers so it does not change the sum or product.

Commutative Property Commutative Property of Addition a + b = b + a Ex: 2 + 4 = 4 + 2 6 = 6 Commutative Property of Multiplication c x d = d x c Ex: 3 x 4 = 4 x 3 12 = 12

Associative Property?

Associative Property Click Here Means changing the grouping of numbers when adding or multiplying so it does not change their sum or product.

Associative Property Associative Property of Addition (a + b) + c = a + (b + c) Ex: (4 + 6) + 8 = 4 + (6 + 8) 18 = 18 Associative Property of Multiplication (a x b) x c = a x (b x c) Ex: (3 x 4) x 5 = 3 x (4 x 5) 60 = 60

Identity Property?

Identity Property Identity Property of Addition Identity property of addition states that the sum of ZERO and any number or variable is the number or variable itself. a + 0 = a Ex: 5 + 0 = 5

Identity Property Identity Property of Multiplication Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself. b x 1= b Ex: 8 x 1 = 8

Inverse Property?

Inverse Property Inverse Property of Addition The sum of a number and its “opposite” is always zero. d + -d = 0 Ex: 4 + -4 = 0

Inverse Property Inverse Property of Multiplication The product of a number and its reciprocal is 1. a x = 1 Ex: 5 x = 1

Determine the Property Commutative, Associative, Identity, or Inverse a x b = b x a (a + b) + c = a + (b + c) a x 1 = a 3 - 3= 0 7 x = 1 5 + 6 = 6 + 5 6 + 0 = 6 Commutative Associative Identity Inverse Communicative