If 2-9 is the additive inverse of 2-q - then q is equal to - Maths Q-A

Find the required value:Given: 2/ 9 is the additive inverse of 2/q.We know that an additive inverse of a number is the value, which on adding with the origina ...

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Standard VIII

Mathematics

Negation of a Number

If 2/-9 is th...

Question

If $\frac{2}{- 9}$ is the additive inverse of $\frac{2}{q}$ , then $q$ is equal to

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Solution

Find the required value:
Given: $\frac{2}{- 9}$ is the additive inverse of $\frac{2}{q}$ .
We know that an additive inverse of a number is the value, which on adding with the original number results in zero.
Thus, $\frac{2}{- 9} + \frac{2}{q} = 0$
$\Rightarrow \frac{2}{9} = \frac{2}{q} \Rightarrow q = 9$
Hence, the value of $q$ is $9$ .

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If 2-9 is the additive inverse of 2q , then q is equal to

Find the required value:Given: 2-9 is the additive inverse of 2q.We know that an additive inverse of a number is the value, which on adding with the original number results in zero.Thus, 2-9+2q=0⇒29=2q⇒q=9Hence, the value of q is 9.

If $\frac{2}{- 9}$ is the additive inverse of $\frac{2}{q}$ , then $q$ is equal to