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Q: Could you answer Dividing a number by 2.5 is the same as multiplying a number by what?

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Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.

No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

no, dividing a number is halving it, multiplying iy by 2 is doubling it

Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.

This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.

That is the definition of reciprocal.

Yes, it is!:)

10

because of mathematical equivalence: it doesn't change the result

This is because dividing by a number is the same as multiplying by its reciprocal.

Dividing by twelve is the same thing as multiplying by 1/12. Thus, multiplying a number by 12/1, or twelve, is the opposite (inverse) of dividing a number by twelve.

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