Final answer:
To find the sum of 38 and 57 using the GCF and the distributive property, factor out the GCF of 19 and apply the distributive property to get 19 × (2 + 3) = 95.
Step-by-step explanation:
The student is asking to find the sum of the numbers 38 and 57 using the greatest common factor (GCF) and the distributive property. First, let's identify the GCF of 38 and 57. Both numbers are divisible by 19, so 19 is the GCF. Now we can express each number as a multiple of 19.
38 = 19 × 2
57 = 19 × 3
Using the distributive property, we can factor out the GCF (19) and sum the results as follows:
38 + 57 = (19 × 2) + (19 × 3) = 19 × (2 + 3) = 19 × 5 = 95
The sum of 38 and 57 using the GCF and distributive property is 95.