Question

______is the identity for the addition of rational number​

Answer 1

Answer:

0

Step-by-step explanation:

For any operation, we have many properties such as commutative property, associative property, distributive property, and so on. The identity property is one of the properties.

In addition, the additive identity property for rational numbers is that when you add a rational number to the additive identity, then you get back the same rational number.

Let the additive identity for rational numbers be x.

Let a is any rational number.

The definition states that when a is added to x, we get back a itself. Hence, we have the following:

a + x = a

We now, take the a in the left-hand side of the equation to the right-hand side to get as follows:

x = a – a

Now, when two same numbers are subtracted, we know that the result is zero. Hence, we have:

x = 0

Answer 2

Answer:

0 is the identity for the addition of rational number

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