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Use the GCF and the Distributive Property to find the sum. 66 + 78 Write each number as a product using the...

Use the GCF and the Distributive Property to find the sum.
66 + 78
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
66 + 78 = ____ (Use the operation symbols in the math palette as needed. Do not simplify.)

Answer

Solution:

  1. Find the GCF of 66 and 78. The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. The GCF is 6.
  2. Express each number as a product using the GCF: 66 = 6 * 11 and 78 = 6 * 13.
  3. Apply the Distributive Property: 66 + 78 = 6 * 11 + 6 * 13 = 6 * (11 + 13).
  4. The expression is: 6 * (11 + 13).

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