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Multiplying Two-digit Numbers

Mathematics, Grade 3

 
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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