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!:)
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.