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

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Presentation on theme: "Each Path shown is one foot wide. What is the area of the shaded path?"— Presentation transcript:

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

2 Properties of Numbers

3 4 Main Properties of Numbers
Communicative Property Associative Property Identity Property Inverse Property

4 Commutative Property?

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

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

7 Associative Property?

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

9 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

10 Identity Property?

11 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

12 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

13 Inverse Property?

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

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

16 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 Commutative Associative Identity Inverse Communicative


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