Question

Use the GCF and the Distributive Property to find the sum. 51+85

Answer 1

Answer:

136 is a composite number. 136 = 1 x 136, 2 x 68, 4 x 34, or 8 x 17. Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.

Step-by-step explanation:

Answer 2

The sum of 51 and 85 using the GCF and Distributive Property is 136.

Given,

Use the GCF and the Distributive Property.

To find,

To find the sum 51+85.

Solution,

To find the sum of 51 and 85 using the GCF and Distributive Property, we can first find the greatest common factor (GCF) of the two numbers, which is 17.

Next, we can use the Distributive Property to express both numbers as multiples of the GCF:

51 = 3 × 17

85 = 5 × 17

Now, we can rewrite the sum of 51 and 85 as:

51 + 85 = (3 × 17) + (5 × 17)

Using the Distributive Property again, we can factor out the GCF of 17 from both terms:

51 + 85 = 17 × (3 + 5)

Simplifying the expression inside the parentheses, we get:

51 + 85 = 17 × 8

Finally, we can evaluate the product of 17 and 8 to get:

51 + 85 = 136

Therefore, the sum of 51 and 85 using the GCF and Distributive Property is 136.

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