Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the smallest (or largest) product.
Hint
What number does each box represent?
Answer
We are still looking for answers. If you have one, post it in the comments.
Smallest product: 1.35 * 2.46
Smallest product: 1.35 * 2.46
Source: Robert Kaplinsky
I’m not positive, but this is what my class came up with:
Largest: 9.64 * 8.75 = 84.35
Lowest: 1.35 * 2.46 = 3.321
The smallest: 1.35 times 2.46
Same answer for the least.
well i was close 1.36 X 2.45
REAL QUODENT 1.35 X 2.46
i was so close OwO”.
why did it duplacate ?
well i was close 1.36 X 2.45
REAL QUODENT 1.35 X 2.46
i was super close OwO”.
I think that the largest is 9.76 x 8.65
This one doesn’t work, because the 6 got repeated 🙂
6 got repeated
I can confirm that these are the solutions:
Smallest possible result:
3.321 = 2.46 *1.35
Greatest possible result:
84.35 = 9.64 *8.75
SMALLEST – My students came up with 1.35 X 2.46 = 3.321
BIGGEST- My students came up with 9.75 X 8.64 = 84.240
largest is 9.65 * 8.74 = 84.341
smallest is 1.34 x 2.45 = 3.283
wait, my answers are wrong. i used 4 twice for 1.34 * 2.45
wait, i was wrong again! 9.64*8.75 is the largest number!