Assertion: rational number | /r/HasProperty | the additive identity
Facets:
value: for all rational numbers
type: OTHER
Source sentences:
text: Rational number 0 is the additive identity for all rational numbers because a number does not change when 0 is added to it.
text: Rational number 1 is the multiplicative identity for all rational numbers because on multiplying a rational number with 1, its value does not change.
text: If $r$ is a rational number and $a/b\in r$, then the rational number containing $-a/b$ is called the (additive) inverse of $r$, and is denoted by $-r$.
text: Two rational numbers are additive inverse of each other when their sum is zero.
text: The set of rational numbers is closed under addition, and associative, the rational number zero is the additive identity and every rational number has an additive inverse.
text: The set of rational numbers, leaving out the number zero, is closed under multiplication, and associative, the rational number one is the multiplicative identity and every rational number in this set has a multiplictive inverse.