Question

Select from the drop-down menu to correctly identify the property shown.

(−5.2+(−8.4))+(−2.8)=−(5.2+8.4)+(−2.8)

Answer 1

@Vuriffy help me plz

Answer 2

@Jerry45 help me vigito

Answer 3

@jim_thompson5910 help plz

Answer 4

you're using the opposite of a sum property which says

(-x+(-y)) = -(x+y)

ie, add up x and y and then take the opposite sign of that

Answer 5

First notice if you add 2.8 to both sides of

$$(−5.2+(−8.4))+(−2.8)=−(5.2+8.4)+(−2.8)$$

$$(−5.2+(−8.4))+(−2.8)+2.8=−(5.2+8.4)+(−2.8)+2.8$$

$$(−5.2+(−8.4))+0=−(5.2+8.4)+0$$

$$(−5.2+(−8.4)) =-(5.2+8.4)$$

$$(-x+(-y)) = -(x+y)$$

The opposite of a sum of real numbers $$-(x+y)$$ is equal to the sum of the opposites of the numbers $$(-x+(-y))$$

Answer 6

Since the opposite of a number is unique,

and the opposite of a sum of real numbers $$-(x+y)$$

and the sum of the opposites of the numbers $$(-x+(-y))$$

both have the sum 0 when add to a sum of real numbers $$x+y$$

$$x+y+(-x+(-y)) = 0$$

$$x+y+( -(x+y))=0$$

The opposite of a sum of real numbers is equal to the sum of the opposites of the numbers

$$-(x+y)=(-x+(-y))$$