Respuesta :

Answer:

The correct answer is third option

The sum of any number and its opposite is 0

Step-by-step explanation:

It is given an expression,

8.29 * (-5.62 + 5.62)/5.62

To find the correct reason

Here - 5.62 + 5.62 = 0

5.62 is opposite to - 5.62

because sum of a number and its opposite is 0.

Therefore the correct answer is third option.

The sum of any number and its opposite is 0

Answer:

The sum of any number and it's opposite is 0.

Step-by-step explanation:

Given expression is [tex]8.29\cdot\frac{-5.62+5.62}{5.62}[/tex]

Now we need to find the reason about why the given expression equals to 0.

If you look at the numerator carefully then you will find that numerator contains two terms -5.62 and +5.62 which are exactly same and opposite in sign. So they will cancel each other and give result 0.

After that we get only multiplication and division operation and we know that multiplication by 0 gives 0. that's why the final answer is 0.

So the correct choice is "The sum of any number and it's opposite is 0."