Which of the following is an illustration of the additive inverse property?
1. (-7)+7 = 0
2. 7+0 = 7
3. 7 x 1/7 = 1
4. 7 x -1 = -7
The additive inverse property states that for any number a, there exists an opposite number -a, such that their sum is zero. It means that adding a number to its additive inverse results in zero.
To determine which of the options represents the additive inverse property, we need to identify a pair of numbers that, when added, yield zero.
Let's go through each option to find the correct one:
1. (-7) + 7 = 0
This is an example of the additive inverse property. Adding -7 to 7 results in zero.
2. 7 + 0 = 7
This equation does not involve the additive inverse property, as adding any number to zero does not yield the additive inverse.
3. 7 x 1/7 = 1
This equation involves multiplication, not addition. It does not represent the additive inverse property.
4. 7 x -1 = -7
This equation involves multiplication, not addition. It also does not represent the additive inverse property.
Therefore, the correct option that illustrates the additive inverse property is option 1. (-7) + 7 = 0.