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**Let’s Talk Multiplication**

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**How would you solve the following?**

36 x x 8 64 x 6

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**What can you do to the 4 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 36 x 4 What can you do to the 4 to simplify the problem?

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**36 x 4 36 x (2 + 2) (36 x 2) + (36 x 2) 72 + 72 = 144 Let’s simplify**

Can you decompose one of the factors to make the problem easier to solve mentally? 36 x 4 36 x ( ) (36 x 2) + (36 x 2) = 144

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**What can you do to the 36 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 36 x 4 What can you do to the 36 to simplify the problem?

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**36 x 4 (30 + 6) x 4 (30 x 4) + (6 x 4) 120 + 24 = 144 Let’s simplify**

Can you decompose one of the factors to make the problem easier to solve mentally? 36 x 4 (30 + 6) x 4 (30 x 4) + (6 x 4) = 144

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**What can you do to the 8 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 203 x 8 What can you do to the 8 to simplify the problem?

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Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 203 x 8 203 x (4 + 4) (203 x 4) + (203 x 4) =1624

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**What can you do to the 203 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 203 x 8 What can you do to the 203 to simplify the problem?

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Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 203 x 8 ( ) x 8 (200 x 8) + (3 x 8) 1624

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**What can you do to the 6 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 64 x 6 What can you do to the 6 to simplify the problem?

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**64 x 6 64 x ( 3 + 3) (64 x 3) + (63 x 3) 192 + 192 384 Let’s simplify**

Can you decompose one of the factors to make the problem easier to solve mentally? 64 x 6 64 x ( 3 + 3) (64 x 3) + (63 x 3) 384

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**What can you do to the 64 to simplify the problem?**

Let’s simplify Can you decompose one of the factors to make the problem easier to solve mentally? 64 x 6 What can you do to the 64 to simplify the problem?

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**64 x 6 (60 + 4) x 6 (60 x 6) + (4 x 6) 360 + 24 384 Let’s simplify**

Can you decompose one of the factors to make the problem easier to solve mentally? 64 x 6 (60 + 4) x 6 (60 x 6) + (4 x 6) 384

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**Let’s Partner Practice**

Each partner will choose a different factor to decompose to simplify the problem. Compare answers. Explain your process to your partner. 89 x 7

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**Let’s Partner Practice**

Each partner will choose a different factor to decompose to simplify the problem. Compare answers. Explain your process to your partner. 112 x 8

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**Let’s Partner Practice**

Each partner will choose a different factor to decompose to simplify the problem. Compare answers. Explain your process to your partner. 43 x 9

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**Let’s Partner Practice**

Each partner will choose a different factor to decompose to simplify the problem. Compare answers. Explain your process to your partner. 602 x 12

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**Let’s Partner Practice**

Each partner will choose a different factor to decompose to simplify the problem. Compare answers. Explain your process to your partner. 43 x 13

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On Your own Solve the following problems using the strategy we learned today. You choose which number to decompose. 432 x x x x 82 34 x x x x 19 16 x x x x 17

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**So, what do you think? Was the strategy easy to learn?**

What kind of factor (larger or smaller) did you prefer to decompose? Why? Had you used this strategy to multiply before? Does this strategy make mental math simpler? Do you think you would be more accurate with this method or the traditional method? Why?

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