If x = \(\dfrac{ – 4 }{ 7}\) and y = \( \dfrac{2 }{ 5}\), then verify that x – y ≠ y – x

Asked by Sakshi | 1 year ago |  251

1 Answer

Solution :-

Now,

x – y = \( \dfrac{-4} { 7} – \dfrac{2} { 5}\)

\( \dfrac{-4} { 7} – \dfrac{2} { 5}\)

Taking L.C.M. we get,

=\( \dfrac{ (- 20 – 14) }{ 35}\)

\( \dfrac{-34} { 35} \)

And

y – x = \( \dfrac{2} { 5}- \dfrac{-4} { 7} \)

\( \dfrac{2} { 5}+ \dfrac{4} { 7} \)

Taking L.C.M. we get,

= \(\dfrac{ (14 + 20) }{ 35}\)

\( \dfrac{34} { 35} \)

Therefore, x – y ≠ y – x

Answered by Aaryan | 1 year ago

Related Questions

By what number should 1365 be divided to get 31 as quotient and 32 as remainder?

Class 8 Maths Rational Numbers View Answer

Which of the following statement is true / false?

(i) \(\dfrac{ 2 }{ 3} – \dfrac{4 }{ 5}\) is not a rational number.

(ii) \( \dfrac{ -5 }{ 7}\) is the additive inverse of \( \dfrac{ 5 }{ 7}\)

(iii) 0 is the additive inverse of its own.

(iv) Commutative property holds for subtraction of rational numbers.

(v) Associative property does not hold for subtraction of rational numbers.

(vi) 0 is the identity element for subtraction of rational numbers.

Class 8 Maths Rational Numbers View Answer

If x = \( \dfrac{4 }{ 9}\), y =\( \dfrac{-7 }{ 12}\) and z = \( \dfrac{-2 }{ 3}\), then verify that x – (y – z) ≠ (x – y) – z

Class 8 Maths Rational Numbers View Answer

Subtract the sum of \(\dfrac{ – 5 }{ 7} and\dfrac{ – 8 }{ 3}\) from the sum of \(\dfrac{5 }{ 2} and \dfrac{– 11 }{ 12}\)

Class 8 Maths Rational Numbers View Answer

What rational number should be subtracted from \(-4  \dfrac{3 }{5}\) to get \( -3  \dfrac{1 }{2}\)

Class 8 Maths Rational Numbers View Answer