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Q: Does the set of a rational number have an additive identity?
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What number is the additive identity in the set of real numbers?

Zero is the additive identity in the set of real numbers; when you add zero to any number, the number does not change its identity.


Does a real number contain the set of rational numbers?

No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.


Is zero a number?

Yes, zero is a number.Yes, zero is a number.Edit: Zero is actually not classified as a number - it is a separator. It stands for nothing. Take as an example the number One hundred and nine (109). Without the zero to separate the 100 from the 9, it would look the same as the number 19 !Edit 2: Zero IS a number and not just a separator. The set of numbers (integers or rationals or reals or complex) includes, AS A MEMBER, an additive identity such that for any member x in the set, x + i = i + x. This additive identity is denoted by the number 0. So it is very much a number.


Is a rational number a subset of the set of integers?

not necessarily... An integer is a rational number, but so is any real number between consecutive integers.


Is the number 56 a rational number whole number natural number or irrational number?

56 is a rational whole natural number. Or to put it another way: 56 is a Natural number, but as all natural numbers are also whole numbers 56 is also a whole number, but as all whole numbers are also rational numbers 56 is also a rational number. Natural numbers are a [proper] subset of whole numbers; Whole numbers are a [proper] subset of rational numbers. The set of rational numbers along with the set of irrational numbers make up the set of real numbers