Directions: Using the digits 1 to 6, at most one time each, fill in the boxes make the greatest or least value. Extension: How close to 1 can you get?

### Hint

Which of the boxes should get the largest number? Which should get the smallest number?

There are 720 (6!) total possible arrangements of the numbers 1-6 in this equation… do you have to check them all?

### Answer

The largest number is 140625 = (5/1)^(6) * 3^(4/2)

The smallest number is 0.0001076 = (1/5)^6 * 2^(3/4)

The closest to 1 is 1.01047 = (4/6)^1 * 2^(3/5)

The smallest number is 0.0001076 = (1/5)^6 * 2^(3/4)

The closest to 1 is 1.01047 = (4/6)^1 * 2^(3/5)

Source: Erick Lee

Is there an image missing from this?

Thanks for the heads up Wendy. It’s been fixed.

We did this in a workshop. Loved it! 🙂 Definitely will use in my class.