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Rewrite Addition Problems as Multiplication Problems using the Distributive Property

Learn to rewrite addition problems as multiplication problems by applying the Distributive Property with examples and steps. Find factors, GCF, and create equal sets for flowers. Practice converting addition expressions into multiplication equations with ease.

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Rewrite Addition Problems as Multiplication Problems using the Distributive Property

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  1. Rewrite Addition Problems as Multiplication Problems using the Distributive Property 6.NS.4 Quick Code LZ2581 Sadlier 6-5A 1/2014

  2. Review…. What is the GCF of 24 and 9? GCF = 3 Think… 3 times what makes 24 and 3 times what else makes 9 24 1x24 2x12 3x8 4x6 9 1x9 3x3 24 + 9 = (3 x 8) + (3 x 3) (8 + 3) 3

  3. Mary plans to buy 12 yellow flowers and 18 blue flowers for her mother’s party. How can she combine the flowers into equal sets to put into vases?

  4. In this lesson you will learn how to rewrite addition problems as multiplication problems by using the Distributive Property.

  5. 1. List factor pairs 2. Find common factors 2. Find GCF 1, 2, 3, and 6

  6. Factors are numbers that are answers to multiplication. . . . . . .

  7. Mary plans to buy 15 yellow flowers and 18 blue flowers for her mother’s party. 15 yellow flowers + 18 blue flowers How can she combine the flowers into equal groups to put into vases?

  8. 15 yellow flowers + 18 blue flowers Common factors: 1, 3

  9. 3 groups of 5 yellow flowers

  10. 3 groups of 6 blue flowers

  11. Mary can divide the flowers up in to 3 vases.

  12. The Distributive Property allows us to write an addition problem as a multiplication problem. vases 15 + 18 3(5) + 3(6) 3(5 + 6) flowers flowers

  13. Mary decided to buy 25 yellow flowersand 30 blue flowers. Common factors: 1, 5

  14. 5 groups of 5 yellow flowers

  15. 5 groups of 6 blue flowers.

  16. Mary can use 5 vases to divide the flowers into equal groups. 25 + 30 5(5) + 5(6) 5(5 + 6)

  17. Step 1: Find the Greatest Common Factor of Both Addends; Step 2: Write each addend as a multiple of the GCF; Step 3: Use the Distributive Property to rewrite the expression. Rewrite using the Distributive Property 24 + 40 GCF = 8 24 = 8 • 3 & 40 = 8 • 5 So 24 + 40 = 8(3 + 5)

  18. In this lesson you have learned how to rewrite addition problems as multiplication problems by using the Distributive Property.

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