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

True

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False

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Solution

The correct option is A
True

Two numbers are said to be additive inverse to each other if their sum is zero.
So, if a + b = 0, then a and b are additive inverse to each other. We can thus say that -b is the additive inverse of a.

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Similar questions

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. If a + b = 0, then what will be the additive inverse/negative of b?

Q. If a/b is the additive inverse of c/d, then find the value of

\frac{a}{b} + \frac{c}{d}

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$(i) Additive inverse of \frac{- 5}{- 12} = . . . . . . . (i i) \frac{- 5}{- 12} + its additive inverse = . . . . . . . (i i i) I f \frac{a}{b} i s a d d i t i v e i n v e r s e o f \frac{- c}{d}, then \frac{- c}{d} i s a d d i t i v e i n v e r s e o f . . . . . . Also \frac{a}{b} + \frac{(- c)}{d} + \frac{a}{b} = . . . . . . .$

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.

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

The correct option is A True Two numbers are said to be additive inverse to each other if their sum is zero. So, if a + b = 0, then a and b are additive inverse to each other. We can thus say that -b is the additive inverse of a.

The correct option is A
True

Two numbers are said to be additive inverse to each other if their sum is zero.
So, if a + b = 0, then a and b are additive inverse to each other. We can thus say that -b is the additive inverse of a.