Question

Write a step-by-step process for how you could use the greatest common factor of 8 and 20 and the distributive property to write 8 + 20 as a product.

Answer 1

To write 8 + 20 as a product using the GCF and distributive property, find the GCF of 8 and 20, rewrite the numbers using the GCF and distributive property, simplify the expression, and multiply the numbers to find the product.

Step-by-step explanation:

To write 8 + 20 as a product using the greatest common factor and the distributive property, follow these steps:

1. Find the greatest common factor (GCF) of 8 and 20. The GCF of 8 and 20 is 4, because it is the largest number that divides both 8 and 20 evenly.
2. Use the distributive property to write 8 + 20 as a product. Rewrite 8 as 4 * 2 and 20 as 4 * 5.
3. Combine the terms using the distributive property. 4 * 2 + 4 * 5 can be rewritten as 4 * (2 + 5).
4. Simplify the product. 2 + 5 = 7, so 4 * (2 + 5) simplifies to 4 * 7.
5. Multiply the numbers to find the product. 4 * 7 = 28.

Therefore, 8 + 20 can be written as a product of 4 * 7.