Number Line Values: Find the Largest Number from -3 to 9

Q: Why does A-C equal -2 instead of -4?

Because C is at -1, so A-C = -3-(-1). Remember: subtracting a negative number is the same as adding the positive number, so -3-(-1) = -3+1 = -2.

Q: Do I need to solve all the expressions or can I eliminate some?

It's safer to calculate all expressions first, then compare. However, you can notice that L = 8 is already a positive number, while the others involve operations that might give smaller results.

Number Line Comparison with Algebraic Expressions

Choose the largest value.

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Step-by-step written solution

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Understand the problem

Choose the largest value.

Step-by-step solution

First look at the number line and locate each letter:

$B+F=-2+2=0$

$A-C=-3-(-1)$

$L=8$

$J-G=6-3=3$

Then solve the remaining exercises while remembering the rule:

$-(-x)=+x$

Therefore:

$A-C=-3-(-1)=-3+1=-2$

L is the largest.

Final Answer

$L$

Key Points to Remember

Essential concepts to master this topic

Rule: Read values directly from the number line for each letter
Technique: Calculate each expression: B+F = -2+2 = 0, A-C = -3-(-1) = -2
Check: Compare all results: 0, -2, 8, and 3 → 8 is largest ✓

Common Mistakes

Avoid these frequent errors

Misreading negative number operations
Don't calculate A-C as -3-1 = -4! Subtracting a negative becomes addition: -3-(-1) = -3+1 = -2. Always remember that subtracting negative numbers means adding the positive value.

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 values for each letter from the number line?

Look at where each letter is positioned. The letter is directly above its corresponding number. For example, A is at -3, F is at 2, and L is at 8.

Why does A-C equal -2 instead of -4?

Because C is at -1, so A-C = -3-(-1). Remember: subtracting a negative number is the same as adding the positive number, so -3-(-1) = -3+1 = -2.

Do I need to solve all the expressions or can I eliminate some?

It's safer to calculate all expressions first, then compare. However, you can notice that L = 8 is already a positive number, while the others involve operations that might give smaller results.

What if two expressions give the same result?

If multiple expressions equal the same value and that's the largest, then any of those answers would be correct. But always double-check your calculations to make sure!

How can I avoid making calculation errors?

Write out each step clearly:

First, identify the number for each letter
Then substitute into each expression
Calculate step by step
Compare all final results

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