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Multiplication Multiplying by multiples of 10

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Multiplying by 10 and 100: Count by each number 5 times. 5 x 1 =5 5 x 10 = 50 5 x 100 =500 5 x 1,000 = 5,000 5 x 10,000 = 50,000 Remember to think of it as 5 groups of ____

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What will we learn today? Today, instead of counting by equal groups, we will use two strategies to help us multiply. 1: We will use the associate property to make multiplying easier. 2: We will use place value to make multiplying easier.

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Let’s look at this one: 5 x 40 Think back to the associative property from yesterday….

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Let’s look at this one: 5 x 40 = 5 x (4 x 10) 40

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Let’s look at this one: 5 x 40 = (5 x 4) x 10 20

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Let’s look at this one: 5 x 40 = x 10 20= 200 5 x 40 = 200

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60 9 90 120 12 15 150 EngageNY

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Use what we just learned to solve this with your group…. 20 x 4 = 2 x 10 x 4

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Use what we just learned to solve this with your group…. 20 x 4 = 2 x 4 x 10

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Use what we just learned to solve this with your group…. 20 x 4 = (2 x 4) x 10 8

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Use what we just learned to solve this with your group…. 20 x 4 = 8 x 10

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Use what we just learned to solve this with your group…. 20 x 4 = 8 x 10 8 x 10 = 10 x 8

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Let’s look at this one again: 5 x 40 20 With one zero, it’s like multiplying by a 10, or moving the number over one place value from 20 ones to 20 tens. 20 tens = 200!

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Let’s look at this one again: 5 x 40 = 5 x 4tens 20 tens With one zero, it’s like multiplying by a 10, or moving the number over one place value from 20 ones to 20 tens. 20 tens = 200!

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Here’s another example… 12 120

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EngageNY 8 8 8 80 15 150 You try!

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Use what we just learned to solve this with your group…. 20 x 4 = 2 tens x 4 = 8 tens = 80 3 x 80 = 3 x 8 tens = 24 tens = 240

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Let’s look at multiplying by multiples of 10 again.

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By the end of this lesson, you will be able to answer this problem! 50 x 400

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Let’s look a little closer at what we saw earlier…Do you notice a pattern? 5 x 1 =5 5 x 10 = 50 5 x 100 =500 5 x 1,000 = 5,000 5 x 10,000 = 50,000

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Let’s look at this one yet again… 5 x 40 200 20

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Here’s what you should know…. You can use the associative property: 5 x 60 = 5 x (6 x 10)

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10 = 30 x 10

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10 = 30 x 10 = 300 When you multiply by 10, you move it to the left one place value.

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10 = 30 x 10 = 300 When you multiply by 10, you move it to the left one place value. When you multiply by 100, you move it over 2 place values. 30 x 100 = 3,000

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10 = 30 x 10 = 300 When you multiply by 10, you move it to the left one place value. When you multiply by 100, you move it over 2 place values. What do you think happens when you multiply by 1,000? 10,000? 30 x 1,000 = 30,000 30 x 100 = 3,000 30 x 10,000 = 300,000

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Here’s what you should know…. You can use the associative property: 5 x 60 = (5 x 6) x 10 = 30 x 10 = 300 When you multiply by 10, you move it to the left one place value. When you multiply by 100, you move it over 2 place values. If you know this, you can take the shortcut! 1: Find your basic fact and multiply. 2: Count the number of zeros in the factors. 3: Add the same number of zeros to the product!

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Multiplying by 10 and 100 50 x 3 = 150 50 x 30 = 1,500 500 x 30 = 15,000 500 x 300 = 150,000 5 x 3 = 15

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What do you think we will do here? 5 X 4 5 x 4

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What do you think we will do here? 5 X 4 5 x 4 = 20

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What do you think we will do here? 5 X 4 5 x 4 = 20

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What do you think we will do here? 5 X 4 5 x 4 = 20

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What do you think we will do here? 200,000 50 x 4,000

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You try! 40 x 100

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What do you think we will do here? 4 X 1 4 x 1 =

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What do you think we will do here? 4 X 1 4 x 1 = 4

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What do you think we will do here? 4 X 1 4 x 1 = 4

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What do you think we will do here? 4 X 1 4 x 1 = 4

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What do you think we will do here? 4 X 1 4 x 1 = 4,000

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You try! 400 x 200

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You try! 400 x 200 8

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You try! 400 x 200 80000

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You try! 400 x 200 80,000

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What do you think? 60 x 300 18,000

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Try all 4 on your board 9 x 400 1 x 70,000 60 x 900 200 x 9,000

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Try all 4 on your board 9 x 400 1 x 70,000 60 x 900 200 x 9,000 3,600 70,000 54,000 1,800,000

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How do you feel? Use your sticker chart to show me how you feel about multiplication with zeros?

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Great job!

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Regrouping: Also known as FUNNY NUMBERS! How would you write 5 ones?5 x 1 = 5 How would you write 9 ones? 9 x 1 = 9 How would you write 11 ones? 11 x 1.

Regrouping: Also known as FUNNY NUMBERS! How would you write 5 ones?5 x 1 = 5 How would you write 9 ones? 9 x 1 = 9 How would you write 11 ones? 11 x 1.

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