Question

If X+0=0+X=X, where X is a rational number then 0 is called _______________.
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Answer 1

Answer : If X + 0 = 0 + X = X, where X is a rational number, then 0 is called Additive Identity.

Additive Identity :

  The number in any set, for which the sum of it and any number be that number only, is called Additive Identity.

  For the set of Real Numbers, 0 (zero) is Additive Identity because when we add any number with 0 (zero), we will get that number only.

  When any set is having both left identity and right identity same, that number will be the additive identity. Any set cannot have more than one Additive Identity, that is Additive Identity is a unique number.

Multiplicative Identity :

  The number in any set, for which the product of it and any number be that number only, is called Multiplicative Identity. One (1) is the Multiplicative Identity for the set of Real Numbers.

Answer 2

$\large \sf \underline{ \underline{ Answer:}}$


If X + 0 = 0 + X = X, where X is a Rational Number then 0 is called $\sf \underline{Additive \: Identity}$



$\large \sf \underline{ \underline{ Additive \: Identity:}}$


When performing arithmetic operations you have to work with various properties of numbers, such as the commutative property, the associative property, the distributive property, the inverse property and so on. One of these properties is known as the identity property. The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back. The number zero is known as the identity element, or the additive identity.

$\sf 0 + a = a + 0 = a$

Here are some examples of the additive identity with real numbers:

$\sf 0 + 500 = 500 + 0 = 500 \\ \sf 0 + - 7 = - 7 + 0 = - 7 \\ \sf 0 + x = x + 0 = x$