Open Middle®
Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the greatest (or least) product.
Hint
Where is the best place to put the biggest numbers?
Why should they go there?
Answer
7*10^9 * 6*10^8
Source: Bryan Meyer
Smallest value?
(4*10^1)*(3*10^2)
how do I get this to equal 800,000,000
2 x 10^1 x 3 x 10^0
digits 1-9 a 0 would not be allowed
Answer is: 4 times 10^1 times 3 times 10^2
This set up says 1-9 only, but you could definitely allow 0-9 to see which students remember properties of zero.
But then I would use 5 x 10^ 6 X 0 x 10^9 to get the smallest value.