Final answer:
To rewrite the sum 25 + 75 using their GCF, we factor out the GCF of 25, resulting in 25(1 + 3), which simplifies to 25 × 4.
Step-by-step explanation:
The question asks us to rewrite the sum 25 + 75 using their Greatest Common Factor (GCF) and multiplication. The GCF of 25 and 75 is 25. To rewrite 25 + 75 using their GCF, we would factor out the GCF and express each number as a multiple of this factor.
Both 25 and 75 can be divided by 25. So 25 can be written as 25 × 1 (since 25 divided by 25 is 1), and 75 can be written as 25 × 3 (since 75 divided by 25 is 3). So, the sum can be rewritten as:
25 × 1 + 25 × 3
We can further simplify this expression by factoring out the common factor of 25:
25(1 + 3) = 25 × 4
Therefore, the sum 100 is equal to 25 multiplied by 4, which is a demonstration of using a common factor to simplify and rewrite a sum.