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

We have been given 4 expressions. We are asked to choose the expressions, which simplifies to 0.

Let us check our given choices one by one.

1. $8g-8g$

$8(g-g)$

$8(0)=0$

When we will subtract 8g from 8g, we will get 0. Therefore, expression $8g-8g$ simplifies to 0.

2. $(-2g)-2g$

Let us remove parenthesis.

$-2g-2g$

Upon combining like terms, we will get:

$-4g$

Since  $(-2g)-2g$ simplifies to $-4g$, therefore, expression $-2g-2g$ is not a correct choice.

3. $5g+(-5g)$

Let us remove parenthesis.

$5g-5g$

Upon combining terms, we will get:

$5g-5g=0$

Since  $5g+(-5g)$ simplifies to 0, therefore, expression  $5g+(-5g)$ is a correct choice.

4. $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

Let us combine the terms as:

$\frac{1+1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$\frac{2}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$g-g(-\frac{2}{3}+\frac{2}{3})$

$g-g(0)$

$g-(0)=g$

Since $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ simplifies to $g$, therefore, expression $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ is not a correct choice.

Answer 2

Answer:

its 1,3,5

1Step-by-step explanation:

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