Mathematics

Add each pair of rational numbers, given below, and show that their addition (sum) is also a rational number:
-2 and $\dfrac{2}{5}$

Rational Numbers

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Answer

$-2 + \dfrac{2}{5} \\[1em] = \dfrac{-2}{1} + \dfrac{2}{5} \\[1em]$

LCM of 1 and 5 is 5

$\dfrac{-2 \times 5}{1 \times 5} + \dfrac{2 \times 1}{5 \times 1} \\[1em] =\dfrac{-10}{5} + \dfrac{2}{5} \\[1em] =\dfrac{-10+2}{5} \\[1em] =\dfrac{-8}{5}$

As $\dfrac{-8}{5}$ is in the form of $\dfrac{p}{q}$ where p and q both are integers and q ≠ 0,

∴ $\dfrac{-8}{5}$ is a rational number.

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Mathematics

Add each pair of rational numbers, given below, and show that their addition (sum) is also a rational number:
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Rational Numbers

Answer

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