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Is the following number rational or irrational ? -0. overline 32

User Andrucz
by
4.4k points

2 Answers

5 votes

Final answer:

The number
-0.\overline{32} has a repeating decimal and can be expressed as the fraction -32/99, which means it is a rational number.

Step-by-step explanation:

The number given is
-0.\overline{32} , which has a repeating decimal pattern. To determine if this number is rational or irrational, we need to establish if it can be expressed as a fraction with integers in the numerator and denominator. A repeating decimal is always considered a rational number because it can be written as a fraction. For example,
-0.\overline{32} can be expressed as -32/99, where -32 is the numerator and 99 is the denominator. Therefore,
-0.\overline{32} is a rational number.

User Richard Warburton
by
4.2k points
2 votes

Answer:

yes

Step-by-step explanation:

because -0 is not rational number

User Karim Harazin
by
3.9k points