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Use the Greatest Common Factor and the Distributive property to express the sum as a product 20+35 18 + 27 64 + 40

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Final answer:

To express sums as products, find the Greatest Common Factor (GCF) of each sum and factor it out, then use the Distributive Property to write the expression as a product.

Step-by-step explanation:

To express the sums 20+35, 18+27, and 64+40 as products using the Greatest Common Factor (GCF) and the Distributive Property, we need to find the GCF of each pair of numbers and factor it out.

  • For 20+35, the GCF is 5, so we can write it as 5(4+7).
  • For 18+27, the GCF is 9, so we can write it as 9(2+3).
  • For 64+40, the GCF is 8, so we can write it as 8(8+5).

By applying the Distributive Property, we are effectively grouping the common factor outside of the parentheses and leaving the sum of the divided terms inside.

User Oscar Nieto
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If it's like this: 45, 55, 104 the GCF of these would be 1.
User Stephen Rodriguez
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