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16 May, 12:28

Witch number produces a rational number when added to 0.3

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  1. 16 May, 14:29
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    2/4 produces a rational number when added to 0.3

    Step-by-step explanation:

    The question is:

    Which number produces a rational number when added to 0.3

    a) 2/4 b) √7 c) 0.5050050005 ... d) π

    Solution:

    A rational number is one that can be written as the ratio of two integers.

    It can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. When expressed as a decimal number, rational numbers will sometimes have the last digit recurring indefinitely

    The first option 2/4 is a rational number. If we add 0.3 or 3/10 to it. Its sum will still be a rational number which is 4/5 or 0.8.

    The second option is √7 which is an irrational number. Its exact value is 2.645751311 ... If we add 0.3 to it, it will still remain irrational.

    The third option is also irrational

    The fourth option π has a value of 3.14159 ... If we add 0.3 to it, it will give the sum of 3.441592654. This is also irrational number.

    Thus the correct option is 2/4.
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