can someone tell me if this is an irrational or rational number

-155.233333333

a repeating decimal is not an irrational number in general, even if the first few digits are not part of the pattern.

100 n=-15523.3333333

10 n = -1552.3333333

100n-10n = 90 n = -13971

n = -13971 / 90

155.233

To determine if -155.233333333 is an irrational or rational number, we need to understand the difference between these two types of numbers.

A rational number is a number that can be expressed as a fraction of two integers. It can either be a whole number, a repeating or terminating decimal, or a fraction.

On the other hand, an irrational number cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal that goes on forever without forming a pattern.

Looking at -155.233333333, we can determine if it is rational or irrational by examining its decimal representation. If it is repeating or terminating, it is rational; otherwise, it is irrational.

However, since -155.233333333 does not have a repeating or terminating pattern, we can conclude that it is an irrational number.

To confirm this, you can also check the decimal representation of -155.233333333 using a calculator or software that supports a large number of decimal places. If it continues without repetition or termination, it is indeed an irrational number.