Verify the property x - y - y - x of rational number by takingx - -2-3 and y - -5-6

Given, x = 2/3 and y = 5/6 Then, LHS = x+y = 2/3 + 5/6 = 2/3 5/6 = 4 5/6 = 9/6 and RHS = y + x = 5/6+ 2/3 = 5/6 2/3 = 5 4/6 = 9/6 ∴ LHS = RHS ⇒ n ...

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Standard VIII

Mathematics

Closure Property of Whole Numbers

Verify the pr...

Question

Verify the property x + y = y + x of rational number by taking
$x = \frac{- 2}{3}$ and $y = \frac{- 5}{6}$

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Solution

Given, $x = \frac{- 2}{3}$ and $y = \frac{- 5}{6}$
Then, LHS $= x + y = \frac{- 2}{3} + \frac{- 5}{6} = \frac{- 2}{3} - \frac{5}{6} = \frac{- 4 - 5}{6} = \frac{- 9}{6}$
and RHS $= y + x = \frac{- 5}{6} + \frac{- 2}{3} = \frac{- 5}{6} - \frac{2}{3} = \frac{- 5 - 4}{6} = \frac{- 9}{6}$
$∴$ LHS = RHS $\Rightarrow x + y = y + x$
Hence verified.

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Similar questions

Q. Question 105(ii)
Verify the property x + y = y + x of rational number by taking

x = \frac{- 2}{3}

and

y = \frac{- 5}{6}

Question 110(iv)
Verifty the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking
$x = \frac{- 1}{5}, y = \frac{2}{15}$ and $z = \frac{- 3}{10}$

Q. Question 110(ii)
Verifty the property

x \times (y + z) = x \times y + x \times z

of rational numbers by taking

x = \frac{- 1}{2}, y = \frac{2}{3}

and

z = \frac{3}{4}

Q. Question 110(i)
Verifty the property

x \times (y + z) = x \times y + x \times z

of rational numbers by taking

x = \frac{- 1}{2}, y = \frac{3}{4}

and

z = \frac{1}{4}

Q. Question 105(ii)
Verify the property x + y = y + x of rational number by taking

x = \frac{- 2}{3}

and

y = \frac{- 5}{6}

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Verify the property x + y = y + x of rational number by taking x=−23 and y=−56

Given, x=−23 and y=−56 Then, LHS =x+y=−23+−56=−23−56=−4−56=−96 and RHS =y+x=−56+−23=−56−23=−5−46=−96 ∴ LHS = RHS ⇒x+y=y+x Hence verified.

Verify the property x + y = y + x of rational number by taking
$x = \frac{- 2}{3}$ and $y = \frac{- 5}{6}$