Missing Digits

Directions: Fill in the blanks with digits to make the answer closer to 200 than 300.

Hint

What is one number that is closer to 200 than 300?
How can you get that number?
How can you keep track of your trials and answers so you can share them?
How might you organize your trials and answers to help you think about other solutions?
What is one solution?
What other solutions can you find?
How many possible solutions are there?
How many possible solutions if you can’t use a digit more than once?

Answer

There are many possible answers. E.g. 432 – 199 = 233.
If digits can be repeated, there are 1225 possible ways.
If digits CANNOT be repeated, there are 700 possible ways.

Source: Marilyn Burns and Graham Fletcher

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36 comments

  1. This helps a lot!

  2. I like this question!

    I also found an answer. It is 408-162=246.

  3. 1. 430 – 196 = 234

    2. A. 431 – 199 = 232
    B. 430 – 191 = 239
    C. 428 – 198 = 230
    D. 425 – 197 = 228
    E. 427 – 193 = 234

    3. I got 1225 possible ways as my answer.

    4. I got 749 ways to not use repeated digits as my answer.

  4. 1)400-199=201
    2)401-198=203
    3)400-197=203
    4)400-196=204

  5. I am surprised at how many solutions there are to the problem!1225 when you can repeat the numbers and 749 when you can’t repeat the numbers.

  6. It can also be any rounded number rounded to 200 or less. 0-249 are good numbers to solve. The hint helps.

  7. With using 0-9 only once my student and I got 401-198= 203.

  8. A.459-243=216
    B.465-244=221

  9. 441-196=245
    415-177=238
    436-188=248
    428-189=239
    418-169=249

  10. 400-199=201

  11. 400 – 175 = 225

  12. 432-199=233

  13. John Birnstengel

    642-431=211

  14. 400 and 199
    Love math ❤️❤️❤️❤️😘😘😘💕💕💕💕🎶🎶😉

  15. The answer is E. G. 432-199=233

  16. 401-199=202

  17. 400-190=210

  18. It is 401-199=202 it think

  19. 400-163=237

  20. really helpful!!!!!!!!!!!!!!!!!

  21. Oh, it is 432-199=233

  22. this is hard

  23. what do we do

  24. 400-199 is the closesd solution to 200

  25. There are many possible answers. E.g. 432 – 199 = 233.
    If digits can be repeated, there are 1225 possible ways.
    If digits CANNOT be repeated, there are 700 possible ways.

  26. I like that there are so many possible answers. I went with the lowest number I could make with the 4 and the highest number I could make with the 1 .

    400-199=201

  27. 412-182 = 230
    Regrouping in the tens place

  28. thank you very much it helped a lot🎇😁😁😁

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