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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 Aufrufe • vor 2 Jahren •via X (Twitter)

Anya Rossi• Live Now

Private livecam show

10 Kommentare

Profilbild von Adam

Adamvor 2 Jahren

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!

Profilbild von Howie Hua

Howie Huavor 2 Jahren

You're welcome, Adam! :)

Profilbild von kellsm

kellsmvor 2 Jahren

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

Profilbild von Howie Hua

Howie Huavor 2 Jahren

I wish!

Profilbild von Mrs. LaRock📘🍸

Mrs. LaRock📘🍸vor 2 Jahren

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.

Profilbild von Jeremy

Jeremyvor 2 Jahren

Miss you Howie! Great video 😊

Profilbild von Howie Hua

Howie Huavor 2 Jahren

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

Profilbild von Rik

Rikvor 2 Jahren

134+297+568=999

Profilbild von little grey mouse 🐭

little grey mouse 🐭vor 2 Jahren

125 376 498 ---- 999

Profilbild von Thomas Mounier

Thomas Mouniervor 2 Jahren

I love this proof thanks

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