I'll do the first two to get you started.
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Problem 1
Answer: 0-7+11 = 4
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Explanation:
The bottom arrow is where we start. Specifically at 0 on the number line.
Then we move 7 units to the left. This is represented by -7 on the number line. So -7 is part of the addition equation.
Then we move 11 units to the right to arrive at 4 on the number line. This is the same as adding 11 to -7 to get -7+11 = 4 and that is the same as 0-7+11 = 4
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Problem 2
Answer: 1 + (-5) + 9 = 5
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Explanation:
We now start at 1 on the number line. Move 5 units to the left to get to -4
Moving 5 units to the left is the same as subtracting 5, or adding on -5
So far we have 1 + (-5) which simplifies to -4
The last thing we do is add on 9 to go from -4 to 5. In other words, we move 9 units to the right when we go from -4 to 5
In terms of an equation, -4 + 9 = 5
So overall, that's how I got 1 + (-5) + 9 = 5
