Number Line Analysis: Finding the Largest Value from -5 to 6

Q: Why can't I just pick the rightmost letter on the number line?

Because some answer choices are expressions that need calculating! For example, $ C-A $ means you subtract A's value from C's value, not just look at letter positions.

Q: How do I handle subtraction with negative numbers?

Remember: subtracting a negative equals adding a positive. So $ -3-(-5) = -3+5 = 2 $. The two negatives make a positive!

Q: What if I get confused about which direction is larger?

On horizontal number lines, right is always larger. So 5 > 2 > 1 > -1 > -3 > -5. Think of it like a thermometer - higher temperatures are on the right.

Q: Do I need to calculate every expression even if one looks obviously largest?

Yes, always calculate everything! What looks "obviously largest" might surprise you. In this problem, K = 5 is indeed largest, but you must verify by computing all expressions.

Q: How do I add or subtract with zero?

Zero is the identity element - adding zero doesn't change a number. So $ E + F = -1 + 0 = -1 $. Zero acts like "nothing" in addition and subtraction.

Number Line Comparison with Mixed Values

Choose the largest value.

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Understand the problem

Choose the largest value.

Step-by-step solution

Let's look at the number line and locate each letter:

$C-A=-3-(-5)$

$K=5$

$G=1$

$E+F=-1+0=-1$

Then solve the remaining exercises while remembering the rule:

$-(-x)=+x$

Therefore:

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

K is the largest.

Final Answer

$K$

Key Points to Remember

Essential concepts to master this topic

Rule: On number lines, rightmost positions have largest values
Technique: Calculate expressions first: $C-A = -3-(-5) = 2$
Check: Compare all calculated values: 2, 5, 1, -1; largest is 5 ✓

Common Mistakes

Avoid these frequent errors

Choosing letter positions instead of calculated values
Don't just pick the rightmost letter K without calculating expressions like C-A = wrong comparison! You're comparing positions, not actual values. Always calculate all expressions first, then compare the numerical results.

Practice Quiz

Test your knowledge with interactive questions

$$ -3=-3 $$

FAQ

Everything you need to know about this question

Why can't I just pick the rightmost letter on the number line?

Because some answer choices are expressions that need calculating! For example, $C-A$ means you subtract A's value from C's value, not just look at letter positions.

How do I handle subtraction with negative numbers?

Remember: subtracting a negative equals adding a positive. So $-3-(-5) = -3+5 = 2$ . The two negatives make a positive!

What if I get confused about which direction is larger?

On horizontal number lines, right is always larger. So 5 > 2 > 1 > -1 > -3 > -5. Think of it like a thermometer - higher temperatures are on the right.

Do I need to calculate every expression even if one looks obviously largest?

Yes, always calculate everything! What looks "obviously largest" might surprise you. In this problem, K = 5 is indeed largest, but you must verify by computing all expressions.

How do I add or subtract with zero?

Zero is the identity element - adding zero doesn't change a number. So $E + F = -1 + 0 = -1$ . Zero acts like "nothing" in addition and subtraction.

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