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.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: