Question

The multiplicative inverse of -1 is ____​

Answer 1

Answer:

-1

Step-by-step explanation:

Multiplicative Inverse:-

We know identity of multiplication is 1

Hence,

The multiplicative inverse of a number is a number by which the multiplication results in 1.

Therefore,

-1 × __ = 1

-1 × (-1) = 1

So,

The multiplicative inverse of -1 is -1 itself.

Answer 2

The multiplicative inverse of - 1 is - 1

Given :

The number - 1

To find :

The multiplicative inverse of - 1

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

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

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 3/40

Let N be the multiplicative inverse of - 1

$\displaystyle \sf{ N \times (-1) = 1 }$

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

$\displaystyle \sf{ \implies N = -1 }$

The multiplicative inverse of - 1 is - 1

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