Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
11 divided by 5 is 2.2 and you multiply that by 2 1/4 which is 2.25 in decimal form. The answer is 4.95
325*89.1
Let's decompose this into:
325 = 300 + 25
89.1 = 80 + 9 + 0.1
Then we have the multiplication:
(300 + 25)*(80 + 9 + 0.1)
Let's distribute the multiplication:
300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1
So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.
Then the list of six multiplications involved in solving this problem are:
300*80 = 24,400
300*9 = 2,700
300*0.1 = 30
25*80 = 2,000
25*9 = 225
25*0.1 = 2.5
Now we add all of those and get:
325*89.1 = 24,400 + 2,700 + 30 + 2,000 + 225 + 2.5 = 28,957.5
So 1/2 is 5/10 and 2/5 is 4/10 common denonominator is 10 ( i think )
This would be 10-2 which would equal 8