Question

the multiplicative inverse of -5/9​

Answer 1

Hey! your answer-

The multiplicative inverse of -5/9 is 9/-5.

Answer 2

The multiplicative inverse of - 5/9 is - 9/5

Given :

The number - 5/9

To find :

The multiplicative inverse of - 5/9

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

Let M ( ≠ 0 ) is the multiplicative inverse of N

Then M × N = 1 = N × M

⇒ M = 1/N

So 1/N is multiplicative inverse of N

Step 2 of 2 :

Find multiplicative inverse of - 5/9

Let N be the multiplicative inverse of - 5/9

$\displaystyle \sf{ N \times \frac{-5}{9} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{-5}{9}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{9}{-5} }$

$\displaystyle \sf{ \implies N = - \frac{5}{9} }$

The multiplicative inverse of - 5/9 is - 9/5

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