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Fill in the numbers you must subtract to get to the previous multiple of 100, and the numbers you must add to get to the next multiple of 100.

Mathematics

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Step-by-step solution

7 steps

:
The task is to fill in the numbers you must subtract to get to the previous multiple of 100, and the numbers you must add to get to the next multiple of 100.

  1. For the number 73.

    The previous multiple of 100 is 0. To subtract: 73−0=7373 - 0 = 73.
    The next multiple of 100 is 100. To add: 100−73=27100 - 73 = 27.

  2. For the number 573.

    The previous multiple of 100 is 500. To subtract: 573−500=73573 - 500 = 73.
    The next multiple of 100 is 600. To add: 600−573=27600 - 573 = 27.

  3. For the number 346.

    The previous multiple of 100 is 300. To subtract: 346−300=46346 - 300 = 46.
    The next multiple of 100 is 400. To add: 400−346=54400 - 346 = 54.

  4. For the number 682.

    The previous multiple of 100 is 600. To subtract: 682−600=82682 - 600 = 82.
    The next multiple of 100 is 700. To add: 700−682=18700 - 682 = 18.

    The completed grid for is:

    −73−73−46−8273573346682+27+27+54+18\boxed{ \begin{array}{|c|c|c|c|} \hline - \mathbf{73} & - \mathbf{73} & - \mathbf{46} & - \mathbf{82} \\ \hline 73 & 573 & 346 & 682 \\ \hline + \mathbf{27} & + \mathbf{27} & + \mathbf{54} & + \mathbf{18} \\ \hline \end{array} }

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    Continue filling in the numbers using the same rule.

  5. For the number 444.

    The previous multiple of 100 is 400. To subtract: 444−400=44444 - 400 = 44.
    The next multiple of 100 is 500. To add: 500−444=56500 - 444 = 56.

  6. For the number 168.

    The previous multiple of 100 is 100. To subtract: 168−100=68168 - 100 = 68.
    The next multiple of 100 is 200. To add: 200−168=32200 - 168 = 32.

  7. For the number 295.

    The previous multiple of 100 is 200. To subtract: 295−200=95295 - 200 = 95.
    The next multiple of 100 is 300. To add: 300−295=5300 - 295 = 5.

    The completed grid for is:

    −44−68−95444168295+56+32+5\boxed{ \begin{array}{|c|c|c|} \hline - \mathbf{44} & - \mathbf{68} & - \mathbf{95} \\ \hline 444 & 168 & 295 \\ \hline + \mathbf{56} & + \mathbf{32} & + \mathbf{5} \\ \hline \end{array} }
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