What will be the additive inverse of 7?a)-6b)-7c)-5d)-4Correct answer ...
- The additive inverse of a number a is the number that, when added to a, gives zero. This number is also known as the opposite number.
- So, when -7 is added to 7 it gives 0.
-7 + 7 = 0 - Thus, -7 is the additive inverse of 7.
What will be the additive inverse of 7?a)-6b)-7c)-5d)-4Correct answer ...
**Additive Inverse of a Number**
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. In other words, it is the opposite of the number.
**Finding the Additive Inverse of 7**
To find the additive inverse of 7, we need to find a number that, when added to 7, gives a sum of zero.
Let's assume the additive inverse of 7 to be x. Therefore, we have the equation:
7 + x = 0
To solve for x, we need to isolate it on one side of the equation. Subtracting 7 from both sides, we have:
x = -7
Therefore, the additive inverse of 7 is -7.
**Explanation of the Options**
Now, let's analyze each option to determine which one is the correct additive inverse of 7:
a) -6: Adding -6 to 7 does not give a sum of zero. Therefore, this is not the correct additive inverse of 7.
b) -7: Adding -7 to 7 gives a sum of zero. Therefore, this is the correct additive inverse of 7.
c) -5: Adding -5 to 7 does not give a sum of zero. Therefore, this is not the correct additive inverse of 7.
d) -4: Adding -4 to 7 does not give a sum of zero. Therefore, this is not the correct additive inverse of 7.
Based on the analysis, we can conclude that the correct additive inverse of 7 is -7, which corresponds to option B.