Question

Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g

Answer 1

Let's simplify each expression to see which ones simplify to 0:

1. **8g – 8g**
\[
8g - 8g = 0
\]

2. **(–2g) – 2g**
\[
-2g - 2g = -4g \quad (\text{does not simplify to } 0)
\]

3. **5g + (–5g)**
\[
5g - 5g = 0
\]

4. **One-half g + one-half g**
\[
\frac{1}{2}g + \frac{1}{2}g = g \quad (\text{does not simplify to } 0)
\]

5. **Negative two-thirds g + two-thirds g**
\[
-\frac{2}{3}g + \frac{2}{3}g = 0
\]

From the analysis, the expressions that simplify to 0 are:
- \(8g - 8g\)
- \(5g + (-5g)\)
- \(-\frac{2}{3}g + \frac{2}{3}g\)

So, the expressions that simplify to 0 are:
- \(8g – 8g\)
- \(5g + (–5g)\)
- Negative two-thirds g + two-thirds g