Open Middle®
Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) product.
Hint
What does the number on the left represent? What does the number on the right represent?
Answer
96 · 87 is one answer for the largest product. 13 · 24 is the smallest product.
Source: Robert Kaplinsky
98×76
That’s pretty close Alex! Can you make it any larger?
96 x 87 and 13 x 24
96 x 87 and 13 x 24
Here is a Desmos visual that might support the task.
https://www.desmos.com/calculator/44rd3rwkpk
Nice Rusty! Too bad there isn’t a built in way to restrict duplicate numbers. Two thoughts:
– I wonder if there is a difference between a horizontal and vertical representation?
– Is there value in restricting a and b to 12 to 98? (11 or less and 99 and 100 are not possible)
I Did 12×5 I Dint Try For Largest Or Smallest My Whole Answer Was This:
12+12+12+12+12= 60
24 24 12=60
24+24+12=60
48+12=60
24×13=212
87×96=1152
12*34=38 and 10*25=25
96×87 is the biggest.
14×23=322
18 times 28=2204
32*34=1,088
96 x 87=8,282
97×86 biggest
13×24 smallest
98 x 76 largest
13*24
96×87
96×87
smallest is 13 x 24
96 x 81
sorry 87 x 96
smallest 13 x 24
hi