Adding Negative Numbers: Solve (-5) + (-2) Using Number Line

(5)+(2)= (-5)+(-2)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

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Step-by-step video solution

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00:00 Solve
00:03 The number is directed and negative
00:07 The negative direction on the axis is to the left, so we'll go 5 units left
00:21 The number is directed and negative
00:26 The negative direction on the axis is to the left, so we'll go 2 units left
00:35 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(5)+(2)= (-5)+(-2)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

2

Step-by-step solution

Let's locate negative 5 on the number line.

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

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

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

Since the operation is +(2) +(-2)

And negative 2 is less than 0, we'll move two steps to the left from negative 5, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

We can see that we reached negative 7.

3

Final Answer

7 -7

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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