Details about multiplying and dividing rational number involves modeling multiplying fractions by dividing squares to equal segments and then overlap the squares.
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
A rational number is, by definition, the answer from dividing one integer by another.
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.
it is the same as multiplying by 0.4
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.
no, dividing a number is halving it, multiplying iy by 2 is doubling it
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.
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
dividing by one third is the same as multiplying by three
The product of an irrational number and a rational number, both nonzero, is always irrational