Summary 85 Section 1.5 Multiplication of Whole Numbers and Area Key Concepts Multiplication is repeated addition. The product is the result of multiplying factors. Properties of Multiplication 1. Commutative Property of Multiplication: Changing the order of the factors does not affect the product. 2. Associative Property of Multiplication:The manner in which the factors are grouped does not affect the product. 3. Multiplication Property of 0:The product of any number and 0 is 0. 4. Multiplication Property of 1:The product of any number and 1 is that number. 5. Distributive Property of Multiplication over Addition Multiply whole numbers. The area of a rectangle with length l and width w is given by A l w. Examples Example 1 16 16 16 16 4 16 64 Example 2 For the factors are 3, 13, and 2, and the product is 78. Example 3 1. 2. 3. 4. 5. 3 13 2 78 4 7 7 4 6 15 72 16 52 7 43 0 0 290 1 290 5 14 82 15 42 15 82 Example 4 Example 5 Find the area of the rectangle. 70 cm A 123 cm2 # 170 cm2 1610 cm2 23 cm 312 23 936 6240 7176 3 14 42 7142 28
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