Number Line Comparison: Finding the Larger Value Between -7 and 6

Q: What's the rule for adding and subtracting negative numbers?

Key rules:Adding a negative: $ +(-x) = -x $Subtracting a negative: $ -(-x) = +x $Remember: two negatives make a positive when subtracting!

Number Line Operations with Negative Integer Rules

Choose the expression that has a larger value.

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the expression that has a larger value.

Step-by-step solution

First, let's look at the number line and locate each letter:

$M+D=5+(-4)$

$K-F=3-(-2)$

$L+B=4+(-6)$

$C-F=-5-(-2)$

Then we can solve the remaining exercises, remembering the rules:

$+(-x)=-x$

$-(-x)=+x$

Therefore:

$M+D=5+\left(-4\right)=5-4=1$

$K-F=3-(-2)=3+2=5$

$L+B=4+(-6)=4-6=-2$

$C-F=-5-(-2)=-5+2=-3$

K-F represents the largest value.

Final Answer

$K-F$

Key Points to Remember

Essential concepts to master this topic

Location: Find each letter's position on the number line first
Sign Rules: Subtracting negative means adding: $3-(-2) = 3+2 = 5$
Check: Compare all calculated values to find the largest ✓

Common Mistakes

Avoid these frequent errors

Forgetting the sign rules when subtracting negatives
Don't calculate K-F as 3-2=1! This ignores that F=-2, not +2. The correct calculation is 3-(-2)=3+2=5. Always pay attention to negative signs and remember that subtracting a negative becomes addition.

Practice Quiz

Test your knowledge with interactive questions

Fill in the corresponding sign

D ? J

FAQ

Everything you need to know about this question

How do I read the positions from the number line?

Look at the bottom row of numbers under each letter. For example, A is at -7, K is at 3, and N is at 6. The letters are just labels for these positions.

Why does K-F equal 5 instead of 1?

Because F is at position -2, not +2! So K-F = 3-(-2) = 3+2 = 5. When you subtract a negative number, it becomes addition.

What's the rule for adding and subtracting negative numbers?

Key rules:

Adding a negative: $+(-x) = -x$
Subtracting a negative: $-(-x) = +x$

Remember: two negatives make a positive when subtracting!

Do I need to calculate all four expressions?

Yes! You need to find the value of each expression and then compare them to determine which is largest. Don't assume - calculate and compare.

How can I check if my answer is correct?

Verify each calculation step by step, especially the sign rules. Then compare all four values: M+D=1, K-F=5, L+B=-2, C-F=-3. The largest value is 5, so K-F is correct!

🌟 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