##
**
Additive Identity
**

0 is called additive identity.

a + 0 = 0 + a = a

##
**
Additive Inverse
**

Negative of a number is called additive inverse.

Like

Additive inverse of 56 = −56

Additive inverse of –10 = −(–10) = 10

Let’s do some more examples and check as well

####
**
Additive inverse of 2
**

Additive inverse of 2 = -2

**
Check
**
: Number + Additive inverse = 0

L.H.S = Number + Additive inverse

= 2 + (-2)

= 2 - 2

= 0

= R.H.S

Hence, –2 is the additive inverse of 2

####
**
Additive inverse of
**
**
2/3
**

Additive inverse of 2/3 = (-2)/3

**
Check
**
: Number + Additive inverse = 0

L.H.S = Number + Additive inverse

= 2/3+((-2)/3)

= 2/3-2/3

= 0

= R.H.S

Hence, (-2)/3 is the additive inverse of 2/3

####
**
Additive inverse of
**
**
(-4)/5
**

Additive inverse of (-4)/5 = −((−4)/5) = 4/5

**
Check
**
: Number + Additive inverse = 0

L.H.S = Number + Additive inverse

= (-4)/5+ 4/5

= 0

= R.H.S

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Hence, 4/5 is the additive inverse of (-4)/5