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Write each number as a product using the gcf as a factor, and apply the distributive property. 42 66 = ?

User Mausworks
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Final answer:

The sum of 42 and 66 using the GCF of 6 and the distributive property is 6 x (7 + 11), which equals 108.

Step-by-step explanation:

To write the sum of 42 and 66 using the Greatest Common Factor (GCF) and apply the distributive property, first identify the GCF of 42 and 66. The GCF is 6, which is the largest number that divides both 42 and 66 without a remainder. Next, divide each number by the GCF and use the distributive property.

  • 42 ÷ 6 = 7
  • 66 ÷ 6 = 11

We can now express the sum as:

6 × (7 + 11) =

Then, add the results inside the parentheses:

6 × 18 = 108

User Efecarranza
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