Question 1200395: Begin on the number line at -6. First move right 8 units and then move left 15 units, what is the result? Found 2 solutions by MathLover1, math_tutor2020:Answer by MathLover1(20849) (Show Source):
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Begin on the number line at . First move right units
and then move left units,
the result is:
Start at "-6" on the number line.
Move 6 units to the right to arrive at "0".
Move another 2 units to arrive at "2".
We have traveled 6+2 = 8 units total to the right.
Then from the location "2" on the number line, move 2 units left to get back to "0".
Move another 13 units to the left (so you move 2+13 = 15 units total to the left) to arrive at -13 which is the final answer.
Refer to the diagram below.
We start at A = -6
Then move to B = 2 (moving 8 units to the right)
Then move to C = -13 (moving 15 units to the left)
Going from A to B shows that: -6+8 = 2
Going from B to C shows that: 2-15 = -13
Consider a smaller example of "3 left" then "2 right"
Draw 3 arrows pointing to the left.
Draw 2 arrows pointing to the right.
We have 2 of each type of arrow pair up and cancel out (since one direction undoes the other)
At the end of the day, the net change is "1 unit to the left"
This is one visual way to see how -3+2 = -1
And it's also a way to write 2+(-3) = -1
Use that example mentioned above to draw 8 arrows pointing to the right.
Then draw 15 arrows pointing to the left.
Circle 8 copies of each arrow type. Notice these arrows cancel each other out.
The arrows pointing right will go away entirely.
We'll have 7 arrows pointing to the left after the cancellation. This is because 15-8 = 7.
Therefore, the phrase "move right 8 units and then move left 15 units" can be shortened to "move 7 units to the left".
Draw a number line. Plot -6 on it. Then move 7 units to the left to arrive at -13.
This is the process of going from A to B as shown below.
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