Question

is the number -1 + π rational or irrational? rational irrational subm

Explanation:

A rational number can be expressed as a fraction of two integers. \(\pi\) is an irrational number (it has a non - repeating, non - terminating decimal expansion). When we add a rational number (- 1 is rational) to an irrational number (\(\pi\)), the result is still irrational. This is because if \(a\) is rational and \(b\) is irrational, and \(a + b=c\) were rational, then \(b=c - a\) would be rational (since the difference of two rational numbers is rational), which contradicts the fact that \(b\) is irrational. So, \(-1+\pi\) is irrational.

Answer:

irrational