In order to solve this problem, we need to start at \(\displaystyle -6\) on the number line. 

Next, we have \(\displaystyle +9\) which means we need to move \(\displaystyle 9\) places to the right on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 9\) places to the right, and ended at \(\displaystyle 3\); thus,

\(\displaystyle -6+9=3\)

In order to solve this problem, we need to start at \(\displaystyle -8\) on the number line. 

Next, we have \(\displaystyle +16\) which means we need to move \(\displaystyle 16\) places to the right on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 16\) places to the right, and ended at \(\displaystyle 8\); thus,

\(\displaystyle -8+16=8\)

In order to solve this problem, we need to start at \(\displaystyle -15\) on the number line. 

Next, we have \(\displaystyle +8\) which means we need to move \(\displaystyle 8\) places to the right on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 8\) places to the right, and ended at \(\displaystyle -7\); thus,

\(\displaystyle -15+8=-7\)

In order to solve this problem, we need to start at \(\displaystyle -6\) on the number line. 

Next, we have \(\displaystyle +6\) which means we need to move \(\displaystyle 6\) places to the right on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 6\) places to the right, and ended at \(\displaystyle 0\); thus,

\(\displaystyle -6+6=0\)

Remember, \(\displaystyle -6\) and \(\displaystyle 6\) are opposite numbers. A number and its opposite always have a sum of \(\displaystyle 0\). 

In order to solve this problem, we need to start at \(\displaystyle -3\) on the number line. 

Next, we have \(\displaystyle -5\) which means we need to move \(\displaystyle 5\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 5\) places to the left, and ended at \(\displaystyle -8\); thus,

\(\displaystyle -3-5=-8\)

In order to solve this problem, we need to start at \(\displaystyle -12\) on the number line. 

Next, we have \(\displaystyle -4\) which means we need to move \(\displaystyle 4\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 4\) places to the left, and ended at \(\displaystyle -16\); thus,

\(\displaystyle -12-4=-16\)

In order to solve this problem, we need to start at \(\displaystyle -11\) on the number line. 

Next, we have \(\displaystyle -3\) which means we need to move \(\displaystyle 3\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 3\) places to the left, and ended at \(\displaystyle -14\); thus,

\(\displaystyle -11-3=-14\)

In order to solve this problem, we need to start at \(\displaystyle 4\) on the number line. 

Next, we have \(\displaystyle -11\) which means we need to move \(\displaystyle 11\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 11\) places to the left, and ended at \(\displaystyle -7\); thus,

\(\displaystyle 4-11=-7\)

In order to solve this problem, we need to start at \(\displaystyle 9\) on the number line. 

Next, we have \(\displaystyle -13\) which means we need to move \(\displaystyle 13\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 13\) places to the left, and ended at \(\displaystyle -4\); thus,

\(\displaystyle 9-13=-4\)

In order to solve this problem, we need to start at \(\displaystyle -3\) on the number line. 

Next, we have \(\displaystyle -10\) which means we need to move \(\displaystyle 10\) places to the left on the number line. When we have an addition sign  \(\displaystyle (+)\) we move to the right because that is towards the positive side of the number line. When we have a subtraction sign \(\displaystyle (-)\) we move to the left because that is towards the negative side of the number line. 

The orange arrow moved \(\displaystyle 10\) places to the left, and ended at \(\displaystyle -13\); thus,

\(\displaystyle -3-10=-13\)