Final answer:
To factor the expression 24+28, we find that both numbers are divisible by 4. Factoring out 4, we simplify the expression to 4 × (6 + 7), which equals 52.
Step-by-step explanation:
To factor the expression 24+28 using the distributive property, we can look for a common factor that both numbers share. In this case, both numbers are divisible by 4. Therefore, we can factor out the 4 and rewrite the expression as:
4 × (6 + 7)
Now, we calculate the sum inside the parentheses:
4 × (13)
The final factored expression is:
4 × 13 = 52.
This shows that using the distributive property allows us to rewrite the sum of two numbers as the product of their common factor and the sum of two other numbers, making the calculation easier to perform in our head.