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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.
Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Is the reciprocal of every rational number possible?
No. 0 is rational and has no reciprocal.
What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
The product of a number and its reciprocal is always what?
The product of a number and its reciprocal is always one. That's what reciprocal means.
What is the rational number that is equal to its reciprocal?
1
What is the product of a number and a recipical?
The product of a number and its reciprocal is one. A reciprocal is, quite simply, the opposite of the number.
Is the product of a rational number and a rational number a rational number?
yes
What types of numbers can you multiply together to get a rational number?
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
Is the rational number -1 equal to its reciprocal?
Yes.
What is the product of rational and irrational number?
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
What is the product 3 4ths and its reciprocal?
The product of any non-zero number and its reciprocal is 1.
What is the answer of product of a number and its reciprocal?
1
