Which of the following expressions would result in a total of 0 when added to

Question

–5–7+3? Select all that apply.

2-(-7)
-2-7
7-(-2)
-7-(-2)

Answer 1

To find which expressions will result in a total of 0 when added to $-5-7+3$, we first need to simplify $-5-7+3$:

$$-5-7=-12$$ $$-12+3=-9$$

Now we have $-9$ and we want to find expressions that, when added to $-9$, will equal 0. This means we need to find expressions that equal $9$ because:

$$-9+x=0\Rightarrow x=9$$

Now let's evaluate each expression:

1. $2-(-7)$: $$2-(-7)=2+7=9$$

2. $-2-7$: $$-2-7=-9$$

3. $7-(-2)$: $$7-(-2)=7+2=9$$

4. $-7-(-2)$: $$-7-(-2)=-7+2=-5$$

Now we summarize the results:

• $2-(-7)=9$ (this works)
• $-2-7=-9$ (does not work)
• $7-(-2)=9$ (this works)
• $-7-(-2)=-5$ (does not work)

Thus, the expressions that would result in a total of 0 when added to $-5-7+3$ are:

1. $2-(-7)$
3. $7-(-2)$