Close to 1000

Directions: Using the digits 1 to 9 exactly one time each, place a digit in each box to make the sum as close to 1000 as possible.

Hint

How do you know you can’t get any closer to 1000? What should be true about the hundreds places of your three numbers? How do the tens places affect your answer?

Answer

Lots of answers will get you 999. One would be 247 + 563 + 189.
Is exactly 1000 even possible? Here’s a Geogebra tool you can use to check your answer.

Source: John Ulbright and Robert Kaplinsky

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Check Also

Multiply and Divide Within A Hundred 1

Directions: Using the digits 2 to 9 at most one time each, place a digit …

23 comments

  1. One would be 189+247+563

  2. Hi, I’m a 1st time visitor. We are just really getting started recording various levels of DOK questions within our common lessons. I found your site via a Goggle search. However, I have a question. How can I confirm if a question is a DOK 2 or 3? They do not seem to be identified. Are the levels noted somewhere?
    Thanks,
    Laura

  3. 600+300+100=1000

  4. John Birnstengel

    Devn, that isn’t true. You cannot use 0s.

  5. 152+368+479=999

  6. Cristopher Funk

    583+167+249=999

  7. To pique student interest and involvement, I put a leaderboard on the classroom whiteboard. This showed first, second, third and fourth places of who in the class could get closest to 1000. It was great to see so many students taking up the challenge to get first place.

  8. By the way, where do I find the DOK that goes with this resource? I’m having trouble finding it on the website.

  9. I was wondering if we could extend the problem by adding closest to 1,000 meaning above or below it. It doesn’t specify, but wondered if that would be another option to use?

  10. 234+324+401=959

  11. 152 + 528 + 329 = 999

  12. Annecy Tran from Virginia

    These are great and helpful!

  13. 250 + 250 + 500 would get 1,000.

  14. 169+452+378=999
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    564+297+138=999
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    567+134+298=999
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    567+183+249=999
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    567+198+234=999
    567+234+198=999
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    567+243+189=999
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    568+134+297=999
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    568+194+237=999
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    574+136+289=999
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    576+134+289=999
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    576+189+234=999
    576+234+189=999
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    576+289+134=999
    579+134+286=999
    579+136+284=999
    579+184+236=999
    579+186+234=999
    579+234+186=999
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    583+147+269=999
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    584+176+239=999
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    584+239+176=999
    584+276+139=999
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    586+134+279=999
    586+139+274=999
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    586+239+174=999
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    587+163+249=999
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    589+134+276=999
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    589+143+267=999
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    589+163+247=999
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    589+174+236=999
    589+176+234=999
    589+234+176=999
    589+236+174=999
    589+243+167=999
    589+247+163=999
    589+263+147=999
    589+267+143=999
    589+274+136=999
    589+276+134=999
    594+137+268=999
    594+138+267=999
    594+167+238=999
    594+168+237=999
    594+237+168=999
    594+238+167=999
    594+267+138=999
    594+268+137=999
    597+134+268=999
    597+138+264=999
    597+164+238=999
    597+168+234=999
    597+234+168=999
    597+238+164=999
    597+264+138=999
    597+268+134=999
    598+134+267=999
    598+137+264=999
    598+164+237=999
    598+167+234=999
    598+234+167=999
    598+237+164=999
    598+264+137=999
    598+267+134=999

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