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Mathematics

The product of a rational number 27\dfrac{2}{7} and its additive inverse is:

  1. 449\dfrac{4}{49}

  2. −449\dfrac{-4}{49}

  3. 0

  4. 1

Rational Numbers

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Answer

Rational number = 27\dfrac{2}{7}

Additive inverse = −27-\dfrac{2}{7}

27×−27=−2×27×7=−449\dfrac{2}{7} \times -\dfrac{2}{7}\\[1em] =-\dfrac{2 \times 2}{7 \times 7}\\[1em] =-\dfrac{4}{49}

Hence, option 2 is the correct option.

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