Question

what is the additive and multiplicative inverse of -1/3

Answer 1

additive inverse is 1/3
multiplicative inverse is -3

Answer 2

Answer:

$Additive \: inverse \:of \:\frac{-1}{3} \: is \:\frac{1}{3}$

$Multiplicative\: inverse \:of \:\frac{-1}{3} \: is \:\frac{-3}{1}$

Step-by-step explanation:

$Given\: number = \frac{-1}{3}$

$Additive \: inverse \:of \:an \\integer \:a \:is \:-a$

$a+(-a)=0$

$Additive \: inverse \:of \:\frac{-1}{3} \: is \:\frac{1}{3}$

$\frac{-1}{3}+\frac{1}{3}=0$

$Multiplicative \: inverse \:of \:an \\integer \:a \:is \:\frac{1}{a}\:a≠0$

$a\times \frac{1}{a}=1$

$Multiplicative\: inverse \:of \:\frac{-1}{3} \: is \:\frac{-3}{1}$

$\frac{-1}{3}\times \frac{-3}{1}=1$

Therefore,

$Additive \: inverse \:of \:\frac{-1}{3} \: is \:\frac{1}{3}$

$Multiplicative\: inverse \:of \:\frac{-1}{3} \: is \:\frac{-3}{1}$

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