Open Middle®
Directions: Using the digits 1 to 9 at most one time each, place a digit in each box 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.