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.

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.

Yes, it is!:)

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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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.

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

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

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!:)

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

10

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.

There is no particular name for it. For example, the frequency and wavelength of electromagnetic rays are related, but multiplying them by the same number, or dividing, makes no sense.