Question

the product of 2rational number is -7if one of the number is -8 /11 find the other number​

Answer 1

Answer:

The other number = -77/-8

Given:

The product of two rational numbers = -7.

One number = -8/11.

To Find:

The other number.

Solution:

Let,

The other number be x.

According to the question,

=> One number*Other number = -7

=> -8/11*x = -7

=> x = -7*11/-8

=> x = -77/-8

Hence,

The other number is -77/-8

Verification:

The product of two rational numbers is -7.

One number*Other number = -7

Where,

One number = -8/11

And, other number = -77/-8

=> (-8/11)*(-77/-8) = -7

=> -77/11 = -7

=> -7 = -7

=> LHS = RHS

Hence Verified.

Answer 2

Answer :

• 77/8

Step-by-step explanation:

Given :

• Product of 2 numbers is -7
• One of the number is -8/11

To Find :

• The other number

Solution :

Let the other number be x.

$\displaystyle{ \sf{ \leadsto \: x \times \frac{ - 8}{11} = - 7}}$

$\displaystyle{ \sf{ \leadsto \: x = - 7 \times \frac{11}{ - 8} }}$

$\displaystyle{ \sf{ \leadsto \: x = \frac{ - 77}{ - 8} }}$

• (-) and (-) gets cancelled

Hence, the other number is 77/8.

Verification :

$\displaystyle{ \sf{ \leadsto \: \frac{ - 8}{11} \times \frac{77}{8} }}$

$\displaystyle{ \sf{ \leadsto \: \frac{ \cancel{ - 8}}{ \cancel{11}} } \times \frac{ \cancel{77}}{ \cancel{8}} }$

$\displaystyle{ \sf{ \leadsto \: - 7}}$

Hence, Verified!