What property is illustrated by the equation -8+0=-8?
a) distributive
b) additive inverse
c) communitative
d) additive identity
additive identity is what?
B) communitative property
The property illustrated by the equation -8 + 0 = -8 is the additive identity property.
The additive identity property states that the sum of any number and zero is equal to the original number. In other words, when you add zero to any number, the result is the same number.
The property illustrated by the equation -8 + 0 = -8 is the additive identity property.
The additive identity property states that for any number "a," adding zero to "a" will always result in "a." In other words, adding zero to any number does not change its value.
To determine which property is illustrated by the equation, let's go through each option:
a) Distributive property: The distributive property involves multiplying a number by the sum or difference of two or more numbers. This property is not applicable in this equation since there is no multiplication involved.
b) Additive inverse property: The additive inverse property states that for any number "a," there exists a number "b" such that "a + b = 0." This property involves finding the opposite or additive inverse of a number. While the equation -8 + 0 = -8 involves addition and the number zero, it does not demonstrate the additive inverse property because there is no addition of inverses.
c) Commutative property: The commutative property states that for any numbers "a" and "b," "a + b" is equal to "b + a." This property applies to addition, but in the equation -8 + 0 = -8, the order of the numbers is not changed. Therefore, it does not demonstrate the commutative property.
d) Additive identity property: The additive identity property, as mentioned earlier, states that adding zero to any number does not change its value. In the equation -8 + 0 = -8, adding zero to -8 results in -8 itself, which aligns with the additive identity property.
Therefore, the correct answer is d) Additive identity.
If you want to understand more about these properties, it might be helpful to explore examples and practice problems to solidify your understanding.