Number Line Comparison: Finding the Greatest Value from -4 to 7

Q: How do I read the number line accurately?

Start at zero and count carefully! Numbers to the left of zero are negative, numbers to the right are positive. Each mark represents one unit.

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

When adding a negative number, it's the same as subtracting! For example: $ 3 + (-2) = 3 - 2 = 1 $

Q: How do I subtract a negative number?

Subtracting a negative becomes addition! The rule is: $ -(-x) = +x $. So $ -3 - (-1) = -3 + 1 = -2 $

Q: Do I need to calculate all four expressions?

Yes! You must find the value of each expression first, then compare all four results to determine which is largest.

Q: What if two expressions give the same result?

In this problem, all expressions give different values. But if two were equal, you'd choose either one as they'd both be correct answers.

Q: Why is 3 greater than 2, 1, and -2?

On a number line, numbers get larger as you move right. Since 3 is furthest right compared to 2, 1, and -2, it's the greatest value!

Number Line Comparison with Multiple Operations

Choose the expression that represents the largest 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 represents the largest value.

Step-by-step solution

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

$A+L=-4+7=3$

$G-E=2-0=2$

$H+C=3+(-2)$

$B-D=-3-(-1)$

Then let's solve the remaining exercises remembering the rules:

$+(-x)=-x$

$-(-x)=+x$

Therefore:

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

$B-D=-3-(-1)=-3+1=-2$

A+L is the largest value.

Final Answer

$A+L$

Key Points to Remember

Essential concepts to master this topic

Reading: Match each letter to its number position on the number line
Calculating: A + L = -4 + 7 = 3, G - E = 2 - 0 = 2
Comparing: Check all four answers: 3, 2, 1, -2. The largest is 3 ✓

Common Mistakes

Avoid these frequent errors

Misreading negative number positions
Don't confuse letter positions with their values = wrong calculations! Students often mix up A = -4 with thinking A = 4. Always trace carefully from zero to locate each letter's exact number 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 number line accurately?

Start at zero and count carefully! Numbers to the left of zero are negative, numbers to the right are positive. Each mark represents one unit.

What's the rule for adding negative numbers?

When adding a negative number, it's the same as subtracting! For example: $3 + (-2) = 3 - 2 = 1$

How do I subtract a negative number?

Subtracting a negative becomes addition! The rule is: $-(-x) = +x$ . So $-3 - (-1) = -3 + 1 = -2$

Do I need to calculate all four expressions?

Yes! You must find the value of each expression first, then compare all four results to determine which is largest.

What if two expressions give the same result?

In this problem, all expressions give different values. But if two were equal, you'd choose either one as they'd both be correct answers.

Why is 3 greater than 2, 1, and -2?

On a number line, numbers get larger as you move right. Since 3 is furthest right compared to 2, 1, and -2, it's the greatest value!

🌟 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