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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers2 Marks
Question
Verify the distributive property under addition for three numbers $\frac{1}{5}, 2, \frac{-6}{9}.$
✓

Answer

Let $x=\frac{1}{5}, y=2$ and $z=\frac{-6}{9}$
Distributive property under addition is
$x \times(y+z)=x \times y+x \times z$
LHS $=x \times(y+z)=\frac{1}{5} \times\left[2+\left(\frac{-6}{9}\right)\right]$
$=\frac{1}{5} \times\left(2-\frac{6}{9}\right)=\frac{1}{5} \times\left(\frac{18-6}{9}\right)$
$=\frac{1}{5} \times \frac{12}{9}=\frac{4}{15}$
RHS $=x \times y+x \times z=\frac{1}{5} \times 2+\frac{1}{5} \times\left(\frac{-6}{9}\right)$
$=\frac{2}{5}-\frac{6}{45}=\frac{18-6}{45}=\frac{12}{45}=\frac{4}{15}$

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