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28 March, 06:12

Which number is most likely an irrational number?

2.200000000 ...

21.844444444 ...

45.320320320 ...

0.180942869 ...

A. 45.320320320 ...

B. 2.200000000 ...

C. 21.844444444 ...

D. 0.180942869 ...

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Answers (2)
  1. 28 March, 07:13
    0
    It would be D because it's a non repeating decimal
  2. 28 March, 07:53
    0
    D. 0.180942869 ... is an irrational number.

    Step-by-step explanation:

    Irrational numbers are defined as those numbers that cannot be expressed as a quotient between integers, while rational numbers can be formed as the fraction of two integers.

    However, those definitions are not useful here.

    Another important characteristic is that rational numbers and irrational numbers can be expressed as decimals. However, rational numbers have a pattern while irrational numbers don't have a pattern at all.

    Notice that the only number without a pattern is 0.180942869 ...

    Also notice that the rest have a pattern, that is, repetitive numbers.

    Therefore, the right answer is D.
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