Nate solves the problem 3*5=15 by writing and solving 15÷5=3. Explain why Nate's method works

Mathematics · High School · Tue Nov 03 2020

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Nate's method work since it is general knowledge in mathematics that the inverse operation of multiplication is division, whereas the inverse operation of addition is subtraction. This applies to all numerical computation, hence when checking your answer in multiplication, you can divide the product by either of the two factors, similar to what Nate did, by dividing 15 with 5, the quotient is 3. If he divides 15 by 3, then the quotient is 5. Thus, if the answer is wrong or incorrect from what has been solved, then you must double-check your equation and computation if it is correct or not.