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# Multiplying Two-Digit Numbers (Elementary)

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?

96 · 87 is one answer for the largest product.  13 · 24 is the smallest product.

Source: Robert Kaplinsky

## Multiplying Two-Digit Numbers – Closest to 7,000

Directions: Directions: Using the digits 1 to 9 at most one time each, fill in …

1. • That’s pretty close Alex! Can you make it any larger?

2. Here is a Desmos visual that might support the task.

https://www.desmos.com/calculator/44rd3rwkpk

• Robert Kaplinsky

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)

3. 12+12+12+12+12= 60
24 24 12=60
24+24+12=60
48+12=60

4. 24×13=212

87×96=1152

5. 12*34=38 and 10*25=25

6. 96×87 is the biggest.

7. 14×23=322

8. michael TROTTER

18 times 28=2204

9. 32*34=1,088

10. 96 x 87=8,282