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Missing Digits

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

Hint

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?

Answer

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 BurnsGraham Fletcher

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8 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.

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