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