Sure! Let’s solve each problem step by step and explain the concept of
additive inverse.
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🔍 What is an Additive Inverse?
The
additive inverse of a number is the number that, when added to the original number, gives a sum of
0.
In other words:
> For any number
a, its additive inverse is
–a, because:
>
a + (–a) = 0
This works for positive numbers, negative numbers, and zero.
---
Now let’s solve each problem:
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1) a) (-18) + ______ = 0
We need a number that, when added to –18, gives 0.
That number is
+18.
✔ Answer:
18
b) What is the additive inverse of –18?
By definition, the additive inverse of –18 is
18.
✔ Answer:
18
---
2) a) 12 + ______ = 0
We need a number that, when added to 12, gives 0.
That number is
–12.
✔ Answer:
–12
b) What is the additive inverse of 12?
It’s
–12.
✔ Answer:
–12
---
3) a) ______ + (–9) = 0
We need a number that, when added to –9, gives 0.
That number is
+9.
✔ Answer:
9
b) What is the additive inverse of –9?
It’s
9.
✔ Answer:
9
---
4) a) ______ + 16 = 0
We need a number that, when added to 16, gives 0.
That number is
–16.
✔ Answer:
–16
b) What is the additive inverse of 16?
It’s
–16.
✔ Answer:
–16
---
5) a) ______ + (–4) = 0
We need a number that, when added to –4, gives 0.
That number is
+4.
✔ Answer:
4
b) What is the additive inverse of –4?
It’s
4.
✔ Answer:
4
---
6) a) ______ + 3 = 0
We need a number that, when added to 3, gives 0.
That number is
–3.
✔ Answer:
–3
b) What is the additive inverse of 3?
It’s
–3.
✔ Answer:
–3
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##
✔ Final Answers Summary:
| Problem | Part a | Part b |
|---------|--------|--------|
| 1 | 18 | 18 |
| 2 | –12 | –12 |
| 3 | 9 | 9 |
| 4 | –16 | –16 |
| 5 | 4 | 4 |
| 6 | –3 | –3 |
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## 🧠 Key Takeaway:
> The additive inverse of any number
x is
–x.
> They are “opposites” — same distance from zero on the number line, but on opposite sides.
Let me know if you’d like a visual number line explanation too! 😊
Parent Tip: Review the logic above to help your child master the concept of additive inverse worksheet.
