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 in front of it.
For example, to find the additive inverse of we obtain
To check our work, we add the inverse to the original number. If we're correct, we should get zero.
What is the additive inverse of
To find the additive inverse of the number we change its sign by placing a minus symbol in front of it. So, we obtain
To check our work, we add the inverse to the original number. If we're correct, we should get zero.
What is the additive inverse of $78?$
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a
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$\dfrac{1}{78}$ |
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b
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$-78$ |
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c
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$-\dfrac{1}{39}$ |
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d
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$-\dfrac{1}{78}$ |
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e
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$78$ |
What is the additive inverse of $18?$
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a
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$18$ |
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b
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$\dfrac{1}{18}$ |
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c
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$-\dfrac{1}{18}$ |
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d
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$-\dfrac{1}{9}$ |
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e
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$-18$ |
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 we change its sign by placing a minus symbol in front of it. So, we obtain
Again, we check our work by adding the inverse to the original number. If we're correct, we should get zero.
What number can be added to to get a sum of
The number that can be added to to give is the additive inverse of
To find the additive inverse of the number we change its sign by placing a minus symbol in front of it. So, we obtain
To check our work, we add the inverse to the original number. If we're correct, we should get zero.
What number can be added to $-69$ to get a sum of $0?$
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a
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$70$ |
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b
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$-\dfrac{1}{69}$ |
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c
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$\dfrac{1}{69}$ |
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d
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$69$ |
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e
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$67$ |
What number can be added to $-17$ to get a sum of $0?$
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a
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$-18$ |
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b
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$\dfrac{1}{17}$ |
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c
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$-\dfrac{1}{17}$ |
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d
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$19$ |
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e
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$17$ |
What is the additive inverse of
To find the additive inverse of the number we change its sign by placing a minus symbol in front of it. So, we obtain
To check our work, we add the inverse to the original number. If we're correct, we should get zero.
What number can be added to $\dfrac{3}{8}$ to get a sum of $0?$
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a
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$-\dfrac{8}{3}$ |
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b
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$0$ |
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c
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$-\dfrac{3}{8}$ |
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d
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$\dfrac{3}{8}$ |
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e
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$\dfrac{8}{3}$ |
What is the additive inverse of $-1.24?$
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a
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$-24$ |
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b
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$\dfrac{1}{24}$ |
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c
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$-1.24$ |
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d
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$24$ |
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e
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$1.24$ |
On a number line, a number and its additive inverse are at the same distance from zero but on opposite sides. Remember that the distance of a number from zero is given by its absolute value.
For instance, the only two numbers that are at distance of from zero are and So, is the additive inverse of (and vice versa).
How can we represent the additive inverse of on the number line?
The only two numbers that are at a distance of from zero are and So, is the additive inverse of
Therefore, the additive inverse of is , and can be represented on the number line as follows:
On which number line does the red dot represent the additive inverse of $6?$
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a
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b
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c
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d
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e
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On which number line does the red dot represent the additive inverse of $-3?$
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a
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b
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c
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d
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e
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