Verify the property: \(x\times y=y\times x\) by taking:
i) \(x=\frac{-1}{3},y=\frac{2}{7}\)
ii) \(x=2,y=\frac{7}{-8}\)
iii) \(x=0,y=\frac{-15}{8}\)
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Verify the property: \(x\times y=y\times x\) by taking:
i) \(x=\frac{-1}{3},y=\frac{2}{7}\)
ii) \(x=2,y=\frac{7}{-8}\)
iii) \(x=0,y=\frac{-15}{8}\)
Verify the property: \(x\times y=y\times x\) by taking:
i) \(x=\frac{-1}{3},y=\frac{2}{7}\)
ii) \(x=2,y=\frac{7}{-8}\)
iii) \(x=0,y=\frac{-15}{8}\)
i) By using the property
x × y = y × x
\(\frac{-1}{3}\times\frac{2}{7}=\frac{2}{7}\times\frac{-1}{3}\\=\frac{(-1\times2)}{(3\times7)}=\frac{(2\times-1)}{(7\times3)}\\=\frac{-2}{21}=\frac{-2}{21}\)
\(\therefore\) the property is satisfied.
ii) By using the property
x × y = y × x
\(=2\times\frac{7}{-8}=\frac{7}{-8}\times2\\=\frac{(2\times7)}{-8}=\frac{(7\times2)}{-8}\\=\frac{14}{-8}=\frac{14}{-8}\)
\(\therefore\) the property is satisfied.
iii) By using the property
x × y = y × x
\(0\times\frac{-15}{8}=\frac{-15}{8}\times0\\=0=0\)
\(\therefore\) the property is satisfied.