Solve 5 + (-6) Using Number Line Visualization

5+(6)= 5+(-6)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 The number is directed and positive
00:07 The positive direction on the axis is to the right, so we'll take 5 to the right
00:16 The number is directed and negative
00:21 The negative direction on the axis is to the left, so we'll take 6 to the left
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5+(6)= 5+(-6)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

2

Step-by-step solution

Let's locate the number 5 on the number line.

Since the number 5 is greater than 0, we'll move five steps to the right from zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

Now let's look at the operation in the exercise.

Since the operation is +(6) +(-6)

And the number minus 6 is less than 0, we'll move six steps to the left from number 5, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

We can see that we reached the number minus 1.

3

Final Answer

1 -1

Practice Quiz

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a is negative number.

b is negative number.

What is the sum of a+b?

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