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Mathematics

05\dfrac{0}{5} is a rational number, 08\dfrac{0}{8} is a rational number, then 05÷08\dfrac{0}{5} ÷ \dfrac{0}{8} is:

  1. an irrational number

  2. a rational number

  3. 0

  4. undefined

Rational Numbers

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Answer

05÷08=05×80=0×85×0=00\dfrac{0}{5} ÷ \dfrac{0}{8}\\[1em] = \dfrac{0}{5} \times \dfrac{8}{0}\\[1em] = \dfrac{0 \times 8}{5 \times 0}\\[1em] = \dfrac{0}{0}\\[1em] 00\dfrac{0}{0} is undefined.

Hence, option 4 is the correct option.

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