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.