Question

Without actually calculating, how much greater is the product 98×50 than the product of 97×50? Explain​

Answer 1

The difference is 50 because you are multiplying 50, 98 times
So when you multiply 50, 97 times you are one 50 less than 98

Proof: 98x50=4900
97x50=4850
4900-4850=50

Answer 2

We have the numbers 98*50 and 97*50, here we can see that in both numbers we have a common factor, 50

So we can write the difference as:

98*50 - 97*50 = (98 - 97)*50 = 1*50 = 50

So the difference is equal to 50, wich means that the first one is 50 units bigger than the second.

The ratio can be calculated as:

98*50/(97*50) = (98/97)*(50/50) =98/97

Wich means that the first one is 98/97 times bigger than the second.