Answer:
To solve 5(98) =___(100-2) using the distributive property, we can distribute the 5 to both the 100 and the -2:
5(98) = 5(100 - 2)
Now, we can use the distributive property to simplify the right side:
5(98) = 5(100) - 5(2)
Multiplying, we get:
490 = 500 - 10
Simplifying further, we get:
490 = 490
Therefore, the equation is true, and we have verified the distributive property.