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Is the product of a rational number and a rational number a rational number?
yes
How do you find the multplicate inverse of a rational number?
You take its reciprocal, that is you divide 1 by the number. A rational number can be written as a fraction with integer values in both the numerator and denominator, j/k. The multiplicative inverse of a number is what you have to multiply by to get a product of 1. Putting these ideas together, the multiplicative inverse is the reciprocal, or k/j: (j/k) * (k/j) = 1.
Is the product of a rational number and an irrational number always irrational?
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
What is the reciprocal of a real number?
The reciprocal of a number is one divided by the number. The product of a number and its reciprocal equals one.The easiest way to get the reciprocal of a number is to put the number in the form of a fraction then swap the numerator with the denominator.The reciprocal of 2/3 is 3/2.The reciprocal of 123/5564 is 5564/123.The reciprocal of 1/5 is 5.The reciprocal of 73 is 1/73.The reciprocal of x is 1/x.
