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.

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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

All negative numbers appear on the number line to the left of the number 0.

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!

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