Option B:
6 + (–7) = –1
Solution:
6 – 7 = 6 + (–7)
6 – 7 = –1
So, the answer is –1.
To find the 6 – 7 the additive inverse in the given number line:
Option A: 6 + (–7)
From 0 moving 6 numbers to the right and then moving 7 numbers to reverse direction.
But here, moving 1 number to the right, the answer is 7.
It is not correct.
Option B: 6 + (–7)
From 0 moving 6 numbers to the right and then moving 7 numbers to reverse direction, the answer is –1.
It is correct.
Option C: 6 – (–7)
From 0 moving 6 numbers to the right and then moving 7 numbers to reverse direction.
But here, moving 13 number to the left, the answer is –7.
It is not correct.
Option D: 6 – (–7)
From 0 moving 6 numbers to the right and then moving 7 numbers to reverse direction.
But here, moving 5 number to the left, the answer is 1.
It is not correct.
Therefore, 6 + (–7) = –1
Hence Option B is the correct answer.