Final answer:
The expression 8(10a+2) can be rewritten as 80a + 16 using the distributive property which involves multiplying each term inside the parentheses by 8.
Step-by-step explanation:
We can use the distributive property to rewrite the expression 8(10a+2). The distributive property tells us that you can multiply a sum by a number by multiplying each addend individually by the number, and then summing the results. Thus, applying the property to our expression:
Now we combine these two results to get the equivalent expression:
80a + 16
This is the simplified expression equivalent to 8(10a+2) using the distributive property.