Which expressions simplify to 0? Check all that apply.

Question

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