Final answer:
The expression 140+200 can be factored by first finding the GCF of 140 and 200, which is 20. Then, using the distributive property, the factored expression is 20 × 17, which simplifies to 340.
Step-by-step explanation:
To rewrite the expression 140+200 using the Greatest Common Factor (GCF) in factoring, first find the GCF of 140 and 200. The GCF is the largest number that divides both numbers evenly.
In this case, the GCF of 140 and 200 is 20. Now, we can express each number as a multiple of 20:
- 140 = 20 × 7
- 200 = 20 × 10
Using the distributive property, we combine the two expressions:
140 + 200 = 20 × 7 + 20 × 10
= 20 × (7 + 10)
= 20 × 17
The final factored expression using the GCF is 20 × 17, which equals 340.