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Distributive multiplication
- 1. Multiplication Using the Distributive Property
- 2. What’s the Distributive Property? • When using the distributive property, you break down large complex numbers into numbers that are easier to work with. • You often use expanded form.
- 3. What’s the Distributive Property? Here’s an example: 62 x 3 Let’s use the distributive property to find the product.
- 4. 1. Write the multi-digit number in expanded form. Another way of writing 62 is: 60 + 2 60 + 2 62 x 3
- 5. 2. Set up your parentheses. Since 62 is a two digit number, we need two sets of parentheses. 60 + 2 62 x 3 = ( x )+( x )
- 6. 3. Multiply each part of the expanded number by the one-digit factor. Multiply 60 by 3, and 2 by 3. + 62 x 3 = (60 x3 ) + ( 2 x 3)
- 7. 4. Find the product to each multiplication problem. 60 x 3 = 180 2x3=6 62 x 3 = (60 x 3) + ( 2 x 3) = 180 + 6
- 8. 5. Add the products together. 180 + 6 = 186 62 x 3 = (60 x 3) + ( 2 x 3) = 180 + 6 = 186
- 9. 6. Check your work using the traditional method of multiplication. 62 x 3 62 x 3 = (60 x 3) + ( 2 x 3) = 180 + 6 = 186 √
- 10. That wasn’t so bad! Let’s try another... 87 x 5
- 11. 1. Write the multi-digit number in expanded form. Another way of writing 87 is: 80 + 7 80 + 7 87 x 5
- 12. 2. Set up your parentheses. Since 87 is a two digit number, we need two sets of parentheses. 80 + 7 87 x 5 = ( x )+( x )
- 13. 3. Multiply each part of the expanded number by the one-digit factor. Multiply 80 by 5, and 7 by 5. 87 x 5 = (80 x5 ) + ( 7 x 5)
- 14. 4. Find the product to each multiplication problem. 80 x 5 = 400 7 x 5 = 35 87 x 5 = (80 x 5) + ( 7 x 5) = 400 + 35
- 15. 5. Add the products together. 400 + 35 = 435 87 x 5 = (80 x 5) + ( 7 x 5) = 400 + 35 = 435
- 16. 6. Check your work using the traditional method of multiplication. 87 x 5 87 x 5 = (80 x 5) + ( 7 x 5) = 400 + 35 = 435 √
- 17. Ready to try a few on your own? I thought so. Try solving the problems on the worksheet, “Using the Distributive Property”