Solve the Addition Problem: Adding -22 and -8

Q: Why do I get a bigger negative number when adding negatives?

Think of negative numbers as owing money. If you owe $22 and then owe another $8, you owe $30 total. Adding negatives means going further into debt!

Q: How do I remember which direction to move on the number line?

Adding a negative = moving left. Think: negative means 'less than zero,' so you move toward smaller numbers (left). Adding positive means moving right.

Q: What's the difference between -22 + (-8) and -22 - 8?

They're actually the same thing! Subtracting a positive is the same as adding a negative: $ -22 - 8 = -22 + (-8) = -30 $

Q: Can I just add the numbers and put a negative sign in front?

Yes! When both numbers are negative, add their absolute values (22 + 8 = 30) and put a negative sign in front: $ -30 $

Q: Why does the number line show -30 at the end?

The number line shows your journey: start at -22, then move 8 steps left (because you're adding -8). After 8 steps left from -22, you land on -30.

Adding Negative Integers with Number Line

Solve the following problem:

$-22+(-8)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Find the point (-22) on the axis

00:07 The number is intentional, negative

00:11 Moving towards the negative side on the axis is to the left

00:15 Let's take 8 jumps to the left

00:30 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

Solve the following problem:

$-22+(-8)=$

Step-by-step solution

Let's locate the number negative 22 on the number line.

We'll move 8 steps to the left (since negative 8 is less than zero):

We arrive at the number negative 30.

Final Answer

$-30$

Key Points to Remember

Essential concepts to master this topic

Rule: Adding two negative numbers makes a more negative result
Technique: Start at -22, move 8 steps left to reach -30
Check: Both numbers negative means add absolute values: 22 + 8 = 30, answer is -30 ✓

Common Mistakes

Avoid these frequent errors

Subtracting instead of adding when seeing two negative signs
Don't think -22 + (-8) means -22 - 8 = -14! The parentheses show addition, not subtraction. When adding two negatives, you move further left on the number line. Always remember: negative + negative = more negative.

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 get a bigger negative number when adding negatives?

Think of negative numbers as owing money. If you owe $22 and then owe another$ 8, you owe $30 total. Adding negatives means going further into debt!

How do I remember which direction to move on the number line?

Adding a negative = moving left. Think: negative means 'less than zero,' so you move toward smaller numbers (left). Adding positive means moving right.

What's the difference between -22 + (-8) and -22 - 8?

They're actually the same thing! Subtracting a positive is the same as adding a negative: $-22 - 8 = -22 + (-8) = -30$

Can I just add the numbers and put a negative sign in front?

Yes! When both numbers are negative, add their absolute values (22 + 8 = 30) and put a negative sign in front: $-30$

Why does the number line show -30 at the end?

The number line shows your journey: start at -22, then move 8 steps left (because you're adding -8). After 8 steps left from -22, you land on -30.

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