Q: What pattern is there between a rational number and its reciprocal?

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No. 0 is rational and has no reciprocal.

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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.

Yes.

Just turn it upside down as for example 3/4 reciprocal is 4/3

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No. 0 is rational and has no reciprocal.

It is another positive rational number. The reciprocal of p/q is q/p.

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Is '1' Any number multiplied with its reciprocal is equal to '1'

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.

Yes.

Just turn it upside down as for example 3/4 reciprocal is 4/3

Zero, since you can't divide by zero.

Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

A rational number can be written in the form of a fraction, which is one integer divided by another integer. If you flip a fraction over, so that the top number (the numerator) turns into the bottom number (the denominator) and the bottom number becomes the top number, then that is called the reciprocal of that fraction (it can also be called the inversion of that fraction). So for example, two thirds is a rational number, 2/3; the reciprocal is 3/2.

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

Yes, it is.