Use number properties to simplify the following expression.

-5 + (5 + 3)

in the box below, show each step in simplifying the expression and explain which property you used in each step.
i already have
-5 + 5 + 3           
5 + 3 = 8:            
8 - 5           
8 - 5 = 3
3
but i need to know what properties are used in this answer.

–5 + (5 + 3) = 3

Solution:

Given expression is –5 + (5 + 3).

Using commutative property of addition: a + b = b + a

–5 + (5 + 3) = –5 + (3 + 5)

Using closure property of addition: a + b = c, any number.

–5 + (3 + 5) = –5 + 8

Using commutative property of addition: a + b = b + a

–5 + 8 = 8 – 5

Using closure property of addition: a + b = c, any number.

8 – 5 = 3

–5 + (5 + 3) = 3

Hence –5 + (5 + 3) = 3.

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: