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A fun problem from openmiddle: Using the digits 1-9 each exactly once, create three 3-digit numbers where their sum is as close to 1,000 as possible. Here's why it's impossible to get exactly 1,000.

Howie Hua

100,738 subscribers

21,194 views • 2 years ago •via X (Twitter)

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10 Comments

Adam2 years ago

Thanks, Howie! I use this problem every year with my preservice teachers. We’ve hypothesized that 1000 was not possible but our reasoning never led to a formal proof. Thanks for sharing your proof!

Howie Hua2 years ago

You're welcome, Adam! :)

kellsm2 years ago

You’re a Badger! Totally distracted by your Wisconsin shirt 🤣

Howie Hua2 years ago

I wish!

Mrs. LaRock📘🍸2 years ago

These "Close to 100" and "Close to 1,000" games were a big part of Investigations Math. I do these activities for 'fun' at the end of a math period.

Jeremy2 years ago

Miss you Howie! Great video 😊

Howie Hua2 years ago

I miss you too! Sad I didn't get to see you when I was in Wisconsin last week!

Rik2 years ago

134+297+568=999

little grey mouse 🐭2 years ago

125 376 498 ---- 999

Thomas Mounier2 years ago

I love this proof thanks

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