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Multiplication Arrays Using the Distributive Property Distributive Property of Multiplication • An array is one way to show the product of two numbers. • An array is used to break apart greater factors to make numbers easier to multiply. 4 x 5 4 x (3 + 2) = 4 x 5 = 20 4 x (3 + 2) = (4 x 3) + (4 x 2) = 12 + 8 = 20 Step 1 Step 2 Step 3 12 x 18 96 12 x 18 96 120 12 x 18 96 + 120 216 1 Multiply (8 x 12) 2 Multiply (10 x 12) 3 Add 96 and 120 to find the final product Remember the expanded form of 18 is (10 + 8). Each addend is multiplied by 12. 12 x 8 10 10 180 216 96 2 x 8 = 16 10 x 8 = 80 10 x 10 = 100 2 x 10 = 20 120 36 8 2 © Copyright NewPath Learning. All Rights Reserved. 93-4402 www.newpathlearning.com Multiplying Two-digit Numbers

\|xiBAHBDy01656kzU Multiplication Arrays Using the Distributive Property Distributive Property of Multiplication • An is one way to show the of two numbers. • An array is used to break apart greater factors to make numbers easier to . 4 x 5 4 x (3 + 2) = 4 x 5 = 20 4 x (3 + 2) = (4 x 3) + (4 x 2) = 12 + 8 = 20 Step 1 Step 2 Step 3 12 x 18 96 12 x 18 96 12 x 18 96 1 Multiply (8 x 12) 2 Multiply (10 x 12) 3 Add 96 and 120 to find the final product Remember the expanded form of 18 is (10 + 8). Each addend is multiplied by 12. 12 x 8 Key Vocabulary Terms • add • expanded form • array • factor • digit • multiply • distributive property • product + 10 10 180 216 96 2 x 8 = 16 10 x 8 = 80 10 x 10 = 100 2 x 10 = 20 120 36 8 2 © Copyright NewPath Learning. All Rights Reserved. 93-4402 www.newpathlearning.com Multiplying Two-digit Numbers