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Verify the Property: X × Y = Y × X by Taking: X = − 3 5 , Y = − 11 13 - Mathematics

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Question

Verify the property: x × y = y × x by taking:

\[x = \frac{- 3}{5}, y = \frac{- 11}{13}\]
Sum

Solution

\[\text{We have to verify that} x \times y = y \times x . \]
\[ x = \frac{- 3}{5}, y = \frac{- 11}{13}\]
\[x \times y = \frac{- 3}{5} \times \frac{- 11}{13} = \frac{33}{65}\]
\[y \times x = \frac{- 11}{13} \times \frac{- 3}{5} = \frac{33}{65}\]
\[ \therefore \frac{- 3}{5} \times \frac{- 11}{13} = \frac{- 11}{13} \times \frac{- 3}{5} \]
\[\text{Hence verified .} \]

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Chapter 1: Rational Numbers - Exercise 1.6 [Page 31]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.6 | Q 1.2 | Page 31
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