Final answer:
To factor the sum 24 + 28 using the distributive property, the greatest common factor, which is 4, is factored out, resulting in the expression 4*(6 + 7), which simplifies to 4*13.
Step-by-step explanation:
The student's question is asking to factor the sum of two numbers using the distributive property. The two numbers in question are 24 and 28. To apply the distributive property for factoring, we need to find the greatest common factor (GCF) of the two numbers.
The GCF of 24 and 28 is 4 because 4 is the largest number by which both 24 and 28 can be divided evenly. Once the GCF is determined, we use it as a factor and divide each number by the GCF to find the other factor. We will write the sum in factored form as follows:
24 + 28 = 4(6) + 4(7)
Then we apply the distributive property and factor out the GCF:
= 4*(6 + 7)
= 4*13
= 53
The expression 24 + 28 factored using the distributive property is 4*13= 52, which simplifies the original sum.