The distributive property of multiplication Using Partial Products
The distributive property of multiplication Using Partial Products 8 × 4 = (4 × 4) + (4 × 4) How might you split this array to work out 4 × 8?
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 =
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = 6× 5
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = 6× 5 6× 3
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = 6× 5 6× 3
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = (6 × 5) + (6 × 3) 6× 5 6× 3
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = (6 × 5) + (6 × 3) 6× 5 6× 3 Each part is multiplied separately and the partial products are then added.
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = (6 × 5) + (6 × 3) 6 × 5 = 30 6 × 3 = 18 Each part is multiplied separately and the partial products are then added.
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = (6 × 5) + (6 × 3) 6 × 5 = 30 6× 3 Each part is multiplied separately and the partial products are then added.
Distributive property One of the two factors in a product can be split into two or more parts. Example: 6 × 8 = (6 × 5) + (6 × 3) = 30 + 18 6 × 5 = 30 6 × 3 = 18 Each part is multiplied separately and the partial products are then added.
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 =
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = 5× 8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = 5× 8 1× 8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = 5× 8 1× 8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = (5 × 8) + (1 × 8) 5× 8 1× 8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = (5 × 8) + (1 × 8) 5 × 8 = 40 1× 8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = (5 × 8) + (1 × 8) 5 × 8 = 40 1× 8=8
Distributive property What is another way to split the array to make it easier to work out 6 x 8 ? Example: 6 × 8 = (5 × 8) + (1 × 8) = 40 + 8 5 × 8 = 40 1× 8=8
Let’s try some on your own. in e s e Do th your ok! bo • What is another noteway 1 2 3 4 5 6 7 8 9 10 you can find the answer to 2 3 4 10 x 8 =? 5 6 7 8 Draw the array in your notebook. Remember, there is more than one correct way!
Let’s try some on your own. in e s e Do th your ok! bo • What is another noteway you can find the answer to 1 2 3 4 5 6 7 5 x 7 =? 4 5 Draw the array in your notebook. Remember, there is more than one correct way!
Let’s try some on your own. in e s e Do th your ok! bo • What is another noteway 1 2 3 4 5 6 7 8 9 you can find the answer to 2 9 x 5 =? 3 4 5 his t lit ? p s s? ? u yo oup d ul 3 gr o C to T!! in RY I T Draw the array in your notebook. Remember, there is more than one correct way!
Let’s RE-CAP! • When multiplying two numbers together… 12 x 7 = • We can split up the numbers… 12 x 4 + 8 • And then we can multiply the split up numbers… 4 x 7= 28 • And then add the products! 28 + 56 = 84 7 = 8 x 7 = 56
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