Question

(v)The product of two rational number is -1.If one of the number is -7, then the other
number is :

​

Answer 1

Answer:

1/7

Step-by-step explanation:

let other number be x

given,

(-7) x = (-1)

=> x = (-1)/(-7)

=> x = 1/7

Answer 2

Answer:

$\boxed{\dfrac{1}{7} }$

Step-by-step explanation:

Given:

• Product of two rational numbers = -1

• One rational number =  -7

To Find:

The other rational number = ?

Solution:

Let the other rational number be a

According to the Question,

a   ×   -7 =  -1

⇒a = $\dfrac{-1}{-7}$

⇒a = $\dfrac{\not{-}1}{\not{-}7}$

⇒a  = $\dfrac{1}{7}$

∴The other rational number =  $\boxed{\dfrac{1}{7} }$

$\boxed{\boxed{Verification}}$

⇒ $\dfrac{1}{7}$  × ${-7}$  = $\dfrac{1}{\not{7}}$  ×  $\not{-7}$  

                = 1 × -1

                = -1  ,  Thus Proved.