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.

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x