Question

Use the GCF and the Distributive Property to find the sum 34 + 51. Write each number as a product using the GCF as a factor and apply the Distributive Property.

a) 34 + 51 = (17 * 2) + (17 * 3)
b) 34 + 51 = 17 * (2 + 3)
c) 34 + 51 = 17 * 5
d) 34 + 51 = 85

Answer 1

To find the sum 34 + 51 using the GCF and the Distributive Property, write each number as a product using the GCF as a factor and apply the Distributive Property.

Step-by-step explanation:

To find the sum 34 + 51 using the GCF and the Distributive Property, we need to write each number as a product using the GCF as a factor and apply the Distributive Property.

Using option b), 34 + 51 = 17 * (2 + 3). Using the Distributive Property, we can multiply the GCF (17) by each term inside the parentheses to get 17 * 2 + 17 * 3. This simplifies to 34 + 51, which equals 85. So, option d) 34 + 51 = 85.