To determine which property of real numbers is illustrated by the equation [tex]\( -6 + 6 = 0 \)[/tex], let's analyze the equation step by step.
The equation [tex]\( -6 + 6 = 0 \)[/tex] shows that when you add [tex]\( -6 \)[/tex] (the negative of 6) to [tex]\( 6 \)[/tex], the result is 0. This implies that the sum of a number and its opposite (or inverse) is zero.
This property is specifically known as the inverse property of addition. The inverse property of addition states that any real number [tex]\( a \)[/tex] added to its additive inverse [tex]\( -a \)[/tex] will yield the additive identity, which is 0.
Therefore, the property of real numbers shown in the equation [tex]\( -6 + 6 = 0 \)[/tex] is the:
inverse property of addition.
