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Published byGilbert Ross Modified over 8 years ago

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Distributive Property with Partial Products Method of Multiplication Multiplying 2-digit by 2-digit Numbers

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Don't be scared! You can do this

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Let's start with a problem I know you're a little short and funny looking... I know you're a little short and funny looking... But I meant a math problem But I meant a math problem Let's go with 56 x 78 Let's go with 56 x 78

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Expand your mind, man Actually, you should put the two numbers in expanded form Actually, you should put the two numbers in expanded form 50 + 6 50 + 6 70 + 8 70 + 8

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Set it up So we're multiplying So we're multiplying (50 + 6) x (70 + 8) (50 + 6) x (70 + 8)

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Equality for All! Since there are 4 numbers to deal with... Place 4 equal signs under the problem

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Order Up Okay, the commutative property does state that order doesn't matter, but... Okay, the commutative property does state that order doesn't matter, but... You should follow a certain order here because it's easy to get mixed up You should follow a certain order here because it's easy to get mixed up So let's start with the ones place on bottom So let's start with the ones place on bottom

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Multiply the 8 by both numbers on top Good idea to go right to left

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Move Over Now let's get to the tens place on bottom Now let's get to the tens place on bottom Write the 70 down by the last two equal signs Write the 70 down by the last two equal signs

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Keep the pattern going Multiply 70 times the ones place on top Multiply 70 times the ones place on top

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And Going Now multiply the 70 times the tens place on top

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It All Adds Up Now add up your partial products to find your final answer

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So 56 x 78 = 4,368 Here's a picture of your mother

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