Solve -15 + 3 Using Number Line: Step-by-Step Solution

−15+3= -15+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 The number is directed and negative
00:08 The negative direction on the axis is left, so we'll take 15 left
00:25 The number is directed and positive
00:28 The positive direction on the axis is right, so we'll take 3 right
00:37 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

−15+3= -15+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

2

Step-by-step solution

Let's locate negative 15 on the number line.

Since negative 15 is less than 0, we will move fifteen steps to the left of zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

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

Since the operation is +3 +3

And the number 3 is greater than 0, we will move three steps to the right from negative 15, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

We can see that the number we reached is negative 12.

3

Final Answer

−12 -12

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Addition and Subtraction of Directed Numbers

Solve (-14) + (-13): Adding Negative Numbers on a Number Line
Click to solve
Solve 14 + (-19): Adding Positive and Negative Integers on a Number Line
Click to solve