Understanding the Additive Inverse
The
additive inverse of a number is the value that, when added to the original number, results in zero. In other words:
> If you have a number $ a $, its additive inverse is $ -a $, because:
> $$
> a + (-a) = 0
> $$
So, to find the additive inverse of any number, simply change its sign.
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Examples Given:
- Additive inverse of $ 8 $ is $ -8 $
- Additive inverse of $ -5 $ is $ 5 $
This confirms: flip the sign!
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Now, let's solve each one:
1.
$ 4 $
→ Change the sign: $ -4 $
✔ Additive inverse =
-4
2.
$ -10 $
→ Change the sign: $ 10 $
✔ Additive inverse =
10
3.
$ 25 $
→ Change the sign: $ -25 $
✔ Additive inverse =
-25
4.
$ \frac{2}{3} $
→ Change the sign: $ -\frac{2}{3} $
✔ Additive inverse =
$ -\frac{2}{3} $
5.
$ -\frac{5}{7} $
→ Change the sign: $ \frac{5}{7} $
✔ Additive inverse =
$ \frac{5}{7} $
6.
$ 1.7 $
→ Change the sign: $ -1.7 $
✔ Additive inverse =
-1.7
7.
$ -12 $
→ Change the sign: $ 12 $
✔ Additive inverse =
12
8.
$ 0 $
→ The additive inverse of 0 is
0, because:
$$
0 + 0 = 0
$$
✔ Additive inverse =
0
9.
$ -100 $
→ Change the sign: $ 100 $
✔ Additive inverse =
100
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✔ Final Answers:
| Number | Additive Inverse |
|---------------|------------------|
| 4 |
-4 |
| -10 |
10 |
| 25 |
-25 |
| $ \frac{2}{3} $ |
$ -\frac{2}{3} $ |
| $ -\frac{5}{7} $ |
$ \frac{5}{7} $ |
| 1.7 |
-1.7 |
| -12 |
12 |
| 0 |
0 |
| -100 |
100 |
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📌 Summary:
To find the
additive inverse, just
flip the sign of the number. This works for integers, fractions, decimals, and even zero!
Parent Tip: Review the logic above to help your child master the concept of additive inverse worksheet.
