6. Which statement proves that the additive inverse of -7 is 7?
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1 point
-7 - 7 = 0
7 + (-7) = 0
7 + 7 = 14
-7 + ( -7) = -14
The statement "7 + (-7) = 0" proves that the additive inverse of -7 is 7.
The statement that proves that the additive inverse of -7 is 7 is: 7 + (-7) = 0.
To find the additive inverse of a number, you need to find another number that, when added to the original number, gives you a sum of zero. In other words, the additive inverse of a number is the number that, when added to the original number, cancels it out.
In this case, you are trying to find the additive inverse of -7. So, you need to find another number that, when added to -7, gives you a sum of zero.
Let's evaluate each statement to see which one proves that the additive inverse of -7 is 7:
-7 - 7 = 0: This statement subtracts 7 from -7, but the result is -14, not zero. So this statement does not prove that the additive inverse of -7 is 7.
7 + (-7) = 0: This statement adds -7 to 7, and the result is zero. So this statement proves that the additive inverse of -7 is 7.
7 + 7 = 14: This statement adds 7 to 7, and the result is 14, not zero. So this statement does not prove that the additive inverse of -7 is 7.
-7 + (-7) = -14: This statement adds -7 to -7, and the result is -14, not zero. So this statement does not prove that the additive inverse of -7 is 7.
Therefore, the second statement, 7 + (-7) = 0, is the one that proves that the additive inverse of -7 is 7.