Question

Which equation illustrates the additive inverse property?

A.
6 + 0 = 6
B.
6 + (-6) = 0
C.
6 × 0 = 0
D.
-6 + 6 = 6 + (-6)

Answer 1

The equation that demonstrates the additive inverse property is B. 6 + (-6) = 0, where 6 and -6 are additive inverses of each other.

Step-by-step explanation:

The equation that illustrates the additive inverse property is B. 6 + (-6) = 0. The additive inverse property states that for any number 'a', there is a number '-a' such that 'a' plus '-a' equals zero. This is because adding a number to its additive inverse (which is the negative of the number) will result in zero.

Examples demonstrating the additive inverse include subtracting a positive number and changing its sign before operating the addition, for instance, 5-(+3) results in 5-3, which equals 2. Conversely, if you subtract a negative number, like subtracting -6 from 2, you would perform 2-(-6) which equals 2+6, resulting in 8.

Answer 2

A. 6+0=6 is the answer but if it was multiplication it would be 6x1=6