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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.
What conclusions can you make about dividing rational numbers?
Dividing rational numbers involves inverting the divisor and multiplying, which can help simplify calculations. The result of dividing two rational numbers is also a rational number, provided the divisor is not zero. Additionally, the process demonstrates that division can be viewed as multiplication by the reciprocal, maintaining the properties of rational numbers throughout. Overall, understanding this concept is crucial for effectively working with fractions and ratios in mathematics.
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.
What happens if you divide one third?
dividing by one third is the same as multiplying by three
Can you multiply an irrational number by a rational number and the answer is rational?
The product of an irrational number and a rational number, both nonzero, is always irrational
