0 is the additive identity of rational number true of fals
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True or false :
0 is the additive identity of rational number.
Additive identity : Zero is the additive identity for Rational, natural, whole numbers and integers, since adding it to them does not change the result. Hence, 0 + a = a + 0 = a, where a can be rational number or natural number or whole number of integer.
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0 is the additive identity of a rational number
- The above statement is TRUE.
- The Additive Identity of rational numbers is 0 and this is one of the important properties of addition. Additive inverse pertains to the number which we add to a given number for making the sum zero. Therefore, in simple words, we can say that the additive inverse of any rational number 'a/b' is b/a.
- An additive identity is any number that when added to any other number gives the sum as the number itself. Adding 0 to any number results in the as the number itself and hence, the additive identity is “0” Presently, the additive identity of rational numbers is similarly 0.
Hence, the statement "0 is the additive identity of a rational number" is TRUE.
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