Dev claims: 'The additive inverse of the reciprocal of 2/5 equals the reciprocal of the additive inverse of 2/5.' Verify by computing both sides. What is the common value (if they are equal)?

Question

Accepted Answer

-5/2; yes, both sides equal -5/2. Reciprocal of 2/5 is 5/2; its additive inverse is -5/2. Additive inverse of 2/5 is -2/5; its reciprocal is -5/2. Both sides equal -5/2.

Dev claims: 'The additive inverse of the reciprocal of $\frac{2}{5}$ equals the reciprocal of the additive inverse of $\frac{2}{5}$ .'
Verify by computing both sides.
What is the common value (if they are equal)?

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More Class 8 Properties of Rational Numbers practice

Dev claims: 'The additive inverse of the reciprocal of 52​ equals the reciprocal of the additive inverse of 52​.'Verify by computing both sides.What is the common value (if they are equal)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Rational Numbers practice

Dev claims: 'The additive inverse of the reciprocal of $\frac{2}{5}$ equals the reciprocal of the additive inverse of $\frac{2}{5}$ .'
Verify by computing both sides.
What is the common value (if they are equal)?