Multiply with Bigger Numbers

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Multiply with Bigger Numbers MAFS.3.OA.2.5 (MAFS.3.OA.3.7)

Use the DISTRIBUTIVE PROPERTY to multiply: 30 × 4 Lesson Opening Use the DISTRIBUTIVE PROPERTY to multiply: 30 × 4 10 10 10 10 × 4 = 40 10 × 4 = 40 10 × 4 = 40 40 + 40 + 40 = 120 30 × 4 = (10 × 4) + (10 × 4) + (10 × 4) = 120

Can we use the Distributive Property to multiply 14 × 3? Here is how we could write this mathematically. (10 + 4) × 3 = Decompose one factor into numbers that are easier to multiply. 10 4 (10 × 3) + (4 × 3) = 10 × 3 4 × 3 Multiply each part by the other factor. 42 + = 42 30 12 Add the products.

Let’s try another one.

Can we use the Distributive Property to multiply 13 × 7? Here is how we could write this mathematically. (10 + 3) × 7 = Decompose one factor into numbers that are easier to multiply. 10 3 (10 × 7) + (3 × 7) = 10 × 7 3 × 7 Multiply each part by the other factor. 91 + = 91 70 21 Add the products.

Let’s try another one.

Can we use the Distributive Property to multiply 23 × 4? Here is how we could write this mathematically. (10 + 10 + 3) × 4 = Decompose one factor into numbers that are easier to multiply. 10 10 3 10 × 4 3 × 4 (10 × 4) + (10 × 4) + (3 × 4) = Multiply each part by the other factor. 10 × 4 + + 92 = 92 40 40 12 Add the products.

Do you know another strategy for multiplying 23 × 4? Repeated Addition: 23 + 23 + 23 + 23 But it may be easier to use the Distributive Property mentally.

Your Turn = (10 × 3) + (6 × 3) = 48 16 × 3 22 × 4 8 × 13 21 × 3 19 × 5 6 × 14 You do not have to decompose one of the factors the exact same way that is shown here. Decompose the factors in a way that makes it easier for you to solve the multiplication problem. = (20 × 4) + (2 × 4) = 88 = (8 × 10) + (8 × 3) = 104 = (20 × 3) + (1 × 3) = 63 = (10 × 5) + (9 × 5) = 95 = (6 × 10) + (6 × 4) = 84

Your Turn Show two different ways to decompose a factor to multiply. Then, find the product.

Select all the ways that you could use to solve the expression: Exit Ticket Select all the ways that you could use to solve the expression: (10 × 4) + (7 × 4) (7 × 7) + (7 × 7) (10 + 4) × 7 (4 × 7) + (10 × 7) (10 × 7) + (4 × 7) 14 × 7