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Elaine factors the numbers 36 and 48. Then she makes this conjecture.

“Any multiple of 6 is also a multiple of 12.”

Describe what Elaine should do to test her conjecture. Will she find that her conjecture is true or false? Explain your reasoning.

  • geometry - ,

    pick a few multiples of 6 and try them.
    If they all work, then that's a good sign. Maybe she can develop a formula to test in general.

    If some multiple fails, then she's done. Conjecture is false.

    Guess how many multiples she will have to test.

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