Which of the following is not the additive inverse of a?

(a) $- (- a)$
(b) $a \times (- 1)$
(c) $- a$
(d) $a \div (- 1)$

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Solution

Additive inverse of a is (-a).
$[∵$ additive inverse of an integer is the same integer value, with opposite sign $]$
So,
$- (- a) = a$ is not the additive inverse of a.

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Question 14

Which of the following is not the additive inverse of a?

(a) $- (- a)$
(b) $a \times (- 1)$
(c) $- a$
(d) $a \div (- 1)$

(i)

a (b + c) = a b + a c

a, b

c

(i i)

1

(i i i)

\frac{a}{b}

\frac{c}{d}

\frac{a}{b}

\times

\frac{c}{d}

= 1

$(a)$ What is the additive inverse of $0$ ?

$(b)$ What is the multiplicative inverse of $1$ ?

$(c)$ Which integers have their own multiplicative inverses?

The additive inverse of the rational number $\frac{a}{b}$ is $- \frac{b}{a}$

given (x+y+z)*(ab+1)=1 find the value of z if x is additive inverse of y and a is multiplactive inverse of b.

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