Question

Jeff makes the generalization that a 10s fact can be broken into two 5s fact. Write an equation to test his generalization.

Answer 1

Jeff's generalization that a 10s fact can be broken into two 5s facts is tested using an equation both sides of which equal 30, such as '3 x 10 = 3 x 5 + 3 x 5', demonstrating the validity of his assumption in this instance.

Step-by-step explanation:

Jeff's generalization states that a 10s fact can be broken into two 5s facts. This generalization can be tested using basic multiplication and division principles. For instance, if we take the 10s fact of 30, which is '3 x 10 = 30', we can try to break it down into two 5s facts. According to Jeff's generalization, this would mean that '3 x 10' should be equivalent to '3 x 5 + 3 x 5'. Indeed, if we compute each side of this proposed equation, we find that both equal 30. This means that '3 x 10 = 3 x 5 + 3 x 5' is a valid equation that supports Jeff's generalization.