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Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727 Is either of them correct? Explain your reasoning.
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Is the problem: 84 x 5 x 73 x 9 ?
yes
Reina's work: (84)5 (73)9 = 84 + 573 + 9 = 89712 Mistake #1: 5(73) = 5 x 73 and is not equal to 573 Mistake #2: (84)5 (73)9 = 84 x 5 x 73 x 9. Each number has to be multiplied and not added. Mistake #3: 84 + 573 + 9 is not equal to 89712 Sam's work: (84)5 (73)9 = 84⋅573⋅9 = 820727 Mistake #1: 5(73) = 5 x 73 and is not equal to 573 Mistake #2: 84⋅573⋅9 is not equal to 89712 Both are wrong.
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