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Is dividing by 100 the same as multiplying by 0.1?

10


Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?

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


How is multiplying by 10 and dividing by 2 the same as multiplying by 5?

because there the same


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

it is the same as multiplying by 0.4


Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?

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


Is taking ½ of a number is the same as dividing by ½?

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.


How is multiplying and dividing rational numbers similar?

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


Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?

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


What is the rule for multiplying and dividing with the same sign?

The answer is positive.


Which is the same as dividing by -3?

Multiplying by -1/3


Why is dividing by a number the same as multiplying by its reciprocal?

That is the definition of reciprocal.


What operation is the same as dividing by a fraction?

Multiplying by the reciprocal of the fraction.