If $a$ is an irrational number then which of the following describe the additive inverse of $a$ .

a + a = 2 a

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a + 0 = a

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a \times = 0

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a + (- a) = 0

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Solution

The correct option is D $a + (- a) = 0$
If the sum of two irrational numbers is 0 then the two numbers are called additive inverse.
So option $D$ is correct.

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Question 11
If x + 0 = 0 + x = x, which is rational number, then 0 is called:
(a) identity for addition of rational numbers.
(b) additive inverse of x.
(c) multiplicative inverse of x.
(d) reciprocal of x.

Q. If a > 0, b < 0 and a + b ≠ 0, then the product of additive inverse of a and multiplicative inverse of b is

यदि a > 0, b < 0 तथा a + b ≠ 0, तब a के योगात्मक प्रतिलोम तथा b के गुणात्मक प्रतिलोम का गुणनफल है

Q. The additive inverse of a number

a

is that number, when added to a, yields zero.
For eg,

- 5 + 5 = 0

therefore,

5

is the additive inverse of

(- 5)

If a + b = 0, then, b is the additive inverse of a.

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If a is an irrational number then which of the following describe the additive inverse of a.

The correct option is D a+(−a)=0If the sum of two irrational numbers is 0 then the two numbers are called additive inverse.So option D is correct.

If $a$ is an irrational number then which of the following describe the additive inverse of $a$ .

The correct option is D $a + (- a) = 0$
If the sum of two irrational numbers is 0 then the two numbers are called additive inverse.
So option $D$ is correct.