Solve (-3) + (-3): Adding Negative Numbers on a Number Line

(3)+(3)= (-3)+(-3)=

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 The number is oriented and negative
00:09 The negative direction on the axis is to the left, so we'll go 3 to the left
00:17 The number is oriented and negative:
00:20 The negative direction on the axis is to the left, so we'll go 3 to the left
00:32 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(3)+(3)= (-3)+(-3)=

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

2

Step-by-step solution

Let's locate negative 3 on the number line.

Since negative 3 is less than 0, we'll move three steps 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

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

Since the operation is +(3) +(-3)

and negative 3 is less than 0, we'll move three steps left from negative 3, 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

We can see that we arrived at negative 6.

3

Final Answer

6 -6

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

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