How do you find the additive and multiplicative inverse of $- 4 \frac{3}{5}$ $-4 3/5$ ?

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Answer 1 · 2017-07-06T13:16:42

Additive inverse: $+ 4 \frac{3}{5}$ $+4 3/5$

Multiplicative inverse (reciprocal) $- \frac{5}{23}$ $-5/23$

Additive inverses add up to zero.
This means that the numbers are the same, but they have opposite signs.

$(- 3) + (+ 3) = 0 or (+ x) + (- x) = 0$ $(-3) + (+3) =0" or "(+x) + (-x)=0$

So in this case, the additive inverse of $- 4 \frac{3}{5} is + 4 \frac{3}{5}$ $-4 3/5 " is " +4 3/5$

The multiplicative inverse is also known as the reciprocal.

Multiplicative inverses multiply to give $1$ $1$

$\frac{2}{3} \times \frac{3}{2} = 1 or \frac{a}{b} \times \frac{b}{a} = 1$ $2/3 xx 3/2 = 1" or "a/b xx b/a =1$

In this case:

$- 4 \frac{3}{5} = - \frac{23}{5} \leftarrow$ $-4 3/5 = -23/5" "larr$ write as an improper fraction

$- \frac{23}{5} \times - \frac{5}{23} = 1$ $-23/5 xx -5/23 = 1$

How do you find the additive and multiplicative inverse of −435-4 3/5?