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

its 1,3,5

1Step-by-step explanation:

trust me

Answer 2

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.
`(1)/(2)g+(1)/(2)g-(2)/(3)g+(2)/(3)g`

Let us combine the terms as:

`(1+1)/(2)g-(2)/(3)g+(2)/(3)g`

`(2)/(2)g-(2)/(3)g+(2)/(3)g`

`g-g(-(2)/(3)+(2)/(3))`

`g-g(0)`

`g-(0)=g`

Since
`(1)/(2)g+(1)/(2)g-(2)/(3)g+(2)/(3)g` simplifies to
`g`, therefore, expression
`(1)/(2)g+(1)/(2)g-(2)/(3)g+(2)/(3)g` is not a correct choice.