Which property states that order of the addends does not affect the sum?

a. commutative property of addition

b. associative property of addition

c. reflexive property of addition

d. additive identity property

Option A

Commutative property of addition  states that order of the addends does not affect the sum

Solution:

The commutative property of addition tells us that it does not matter which number we add first , We will still get the same answer if we add them backwards

This property is represented as:

For two numbers a, b:

a + b = b + a

In case of three numbers a, b, c:

a + b + c = c + b + a = b + a + c

So no matter how the addends are placed, the result of the operation (sum) remains the same

For example:

When we are adding 4 and 5

4 + 5 = 9 or 5 + 4 = 9 both the ways the result remains same

Thus Commutative Property of Addition states that changing the order of addends does not change the sum

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step-by-step explanation:

your welcome : )

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)