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Details about multiplying and dividing rational number involves modeling multiplying fractions by dividing squares to equal segments and then overlap the squares.
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How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
How are multiplying and dividing rational numbers related?
Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.
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.
When dividing 5 by 4 is your answer rational number explain?
A rational number is, by definition, the answer from dividing one integer by another.
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
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.
Is multiplying a number by 2 is the same as halving that number?
no, dividing a number is halving it, multiplying iy by 2 is doubling it
What is the inverse operation of dividing by 12?
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.
Why does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
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.
How does dividing a number by a fraction involve multiplication?
When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.
What happens if you divide one third?
dividing by one third is the same as multiplying by three
