Given a number, its additive inverse is the number we need to add to get zero. To find the additive inverse of a number, we change its sign by placing a minus symbol ({\color{red}{-}}) in front of it.

For example, to find the additive inverse of 5, we obtain

{\color{red}{-}}\,(5) = -5.

To check our work, we add the inverse to the original number. If we're correct, we should get zero.

5+(-5) = 5-5 = 0 \quad {\color{green}\checkmark}

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What is the additive inverse of 40?

EXPLANATION

To find the additive inverse of the number 40, we change its sign by placing a minus symbol ({\color{red}{-}}) in front of it. So, we obtain

{\color{red}{-}}\,(40) = -40.

To check our work, we add the inverse to the original number. If we're correct, we should get zero.

40+(-40) = 40-40 = 0 \quad {\color{green}\checkmark}

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What is the additive inverse of $18?$

a
$-18$
b
$-\dfrac{1}{9}$
c
$-\dfrac{1}{18}$
d
$18$
e
$\dfrac{1}{18}$

What number can be added to $12$ to get a sum of $0?$

a
$0$
b
$-20$
c
$\dfrac{1}{12}$
d
$12$
e
$-12$

To find the additive inverse of a negative number, we can use the same process.

For instance, to find the additive inverse of the number -3, we change its sign by placing a minus symbol ({\color{red}{-}}) in front of it. So, we obtain

{\color{red}{-}}\,(-3) = 3.

Again, we check our work by adding the inverse to the original number. If we're correct, we should get zero.

(-3)+3 = -3+3 = 0 \quad {\color{green}\checkmark}

FLAG

What number can be added to -28 to get a sum of 0?

EXPLANATION

The number that can be added to -28 to give 0 is the additive inverse of -28.

To find the additive inverse of the number -28, we change its sign by placing a minus symbol ({\color{red}{-}}) in front of it. So, we obtain

{\color{red}{-}}\,(-28) = 28.

To check our work, we add the inverse to the original number. If we're correct, we should get zero.

(-28)+28 = -28+28= 0 \quad {\color{green}\checkmark}

FLAG

What number can be added to $-17$ to get a sum of $0?$

a
$17$
b
$19$
c
$\dfrac{1}{17}$
d
$-18$
e
$-\dfrac{1}{17}$

What number can be added to $-69$ to get a sum of $0?$

a
$67$
b
$69$
c
$70$
d
$\dfrac{1}{69}$
e
$-\dfrac{1}{69}$

What is the additive inverse of 0.72?

EXPLANATION

To find the additive inverse of the number 0.72, we change its sign by placing a minus symbol ({\color{red}{-}}) in front of it. So, we obtain

{\color{red}{-}}\,(0.72) = -0.72.

To check our work, we add the inverse to the original number. If we're correct, we should get zero.

0.72+(-0.72) = 0.72-0.72 = 0 \quad {\color{green}\checkmark}

FLAG

What number can be added to $\dfrac{3}{8}$ to get a sum of $0?$

a
$\dfrac{3}{8}$
b
$-\dfrac{3}{8}$
c
$\dfrac{8}{3}$
d
$-\dfrac{8}{3}$
e
$0$

What is the additive inverse of $-1.24?$

a
$24$
b
$-1.24$
c
$-24$
d
$1.24$
e
$\dfrac{1}{24}$
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