the product of a rational number and its multiplicative inverse is multiplicative identity, 1.
the product of a rational number and its multiplicative inverse is multiplicative identity, 1.
the product of a rational number and its multiplicative inverse is?
multiplicative identity , 1
in mathematics, a multiplicative inverse or reciprocal for a number "x", denoted by 1/"x" or "x", is a number which when multiplied by "x" yields the multiplicative identity, 1. the multiplicative inverse of a fraction "a"/"b" is "b"/"a". for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. the reciprocal function, the function "f"("x") that maps "x" to 1/"x", is one of the simplest examples of a function which is its own inverse (an involution).
multiplicative inverse
in the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). with the exception of zero, reciprocals of every real number are real, reciprocals of every rational number are rational, and reciprocals of every complex number are complex. the property that every element other than zero has a multiplicative inverse is part of the definition of a field, of which these are all examples. on the other hand, no integer other than 1 and −1 has an integer reciprocal, and so the integers are not a field.
multiplicative inverse