Solve Integer Addition: Adding -36 and 6

Q: Why do I move right when adding a positive number?

On a number line, positive numbers always make you move to the right, while negative numbers make you move left. Think of it like walking: right means forward, left means backward!

Q: How do I know if my final answer should be positive or negative?

Look at which number is larger in absolute value. Since $ |-36| = 36 $ is bigger than $ |6| = 6 $, your answer keeps the negative sign: $ -30 $.

Q: Can I solve this without drawing a number line?

Yes! Think of it as: 36 - 6 = 30, then add the negative sign to get $ -30 $. But the number line helps you visualize what's happening!

Q: What's the difference between -36 + 6 and 36 + 6?

Huge difference! $ -36 + 6 = -30 $ (negative result), but $ 36 + 6 = 42 $ (positive result). The negative sign completely changes the problem!

Q: Why isn't the answer -42?

That would be $ -36 + (-6) $ or $ -36 - 6 $. Since we're adding a positive 6, we move toward zero, making the number less negative, not more negative.

Integer Addition with Negative Numbers

$-36+6=$

❤️ 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

00:04 Find point (-36) on the axis

00:08 The number is oriented, positive

00:12 Movement towards the positive side of the axis is to the right

00:16 Let's take 6 jumps to the right

00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$-36+6=$

Step-by-step solution

We will locate the number negative 36 on the number line, and from there we will move 6 steps to the right (since 6 is greater than zero):

We can see that we have reached the number minus 30.

Final Answer

$-30$

Key Points to Remember

Essential concepts to master this topic

Rule: Adding positive to negative means moving right on number line
Technique: Start at -36, move 6 steps right to reach -30
Check: Verify -36 + 6 = -30 by counting positions on number line ✓

Common Mistakes

Avoid these frequent errors

Ignoring the negative sign
Don't just add 36 + 6 = 42 and ignore the negative sign! This gives a completely wrong positive result instead of the correct negative answer. Always keep track of the negative sign and use the number line method.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why do I move right when adding a positive number?

On a number line, positive numbers always make you move to the right, while negative numbers make you move left. Think of it like walking: right means forward, left means backward!

How do I know if my final answer should be positive or negative?

Look at which number is larger in absolute value. Since $|-36| = 36$ is bigger than $|6| = 6$ , your answer keeps the negative sign: $-30$ .

Can I solve this without drawing a number line?

Yes! Think of it as: 36 - 6 = 30, then add the negative sign to get $-30$ . But the number line helps you visualize what's happening!

What's the difference between -36 + 6 and 36 + 6?

Huge difference! $-36 + 6 = -30$ (negative result), but $36 + 6 = 42$ (positive result). The negative sign completely changes the problem!

Why isn't the answer -42?

That would be $-36 + (-6)$ or $-36 - 6$ . Since we're adding a positive 6, we move toward zero, making the number less negative, not more negative.

🌟 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