Finding the Largest Value: Number Line Comparison from -5 to 8

Q: How do I read the coordinates from the number line?

Look at where each letter aligns with the numbers below. For example, A is at -5, G is at 1, and N is at 8. The letters above show the positions.

Q: Why does B-C-D equal 1 instead of -9?

Because $ B-C-D = -4-(-3)-(-2) $! When you subtract negative numbers, it becomes addition: $ -4+3+2 = 1 $.

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

Subtracting a negative equals adding a positive. So $ -(-3) = +3 $ and $ -(-2) = +2 $. Think: "minus a minus is plus!"

Q: How do I know which expression has the largest value?

Calculate each one completely, then compare the final results:$ H+D = 0 $$ B-C-D = 1 $$ G+I = 4 $ (largest!)$ F = 0 $

Q: Can I use a different method to solve this?

Yes! You could also think of it as moving on the number line. For G+I, start at 1 and move 3 spaces right to reach 4. This visual method helps confirm your calculations.

Integer Operations with Number Line Values

Choose the expression that has the largest value.

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Understand the problem

Choose the expression that has the largest value.

Step-by-step solution

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

$H+D=2+(-2)$

$B-C-D=-4-(-3)-(-2)$

$G+I=1+3=4$

$F=0$

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

$+(-x)=-x$

$-(-x)=+x$

Therefore:

$H+D=2+(-2)=2-2=0$

$B-C-D=-4-(-3)-(-2)=-4+3+2=-1+2=1$

G+I is the largest.

Final Answer

$G+I$

Key Points to Remember

Essential concepts to master this topic

Rule: Read coordinates from number line: negative left, positive right
Technique: Calculate each expression: G+I = 1+3 = 4
Check: Compare all results to find largest value ✓

Common Mistakes

Avoid these frequent errors

Confusing addition and subtraction with negative numbers
Don't mix up signs when calculating B-C-D = -4-(-3)-(-2)! Students often write -4-3-2 = -9 instead of -4+3+2 = 1. Always remember that subtracting a negative number means adding the positive.

Practice Quiz

Test your knowledge with interactive questions

$$ 5 < -5 $$

FAQ

Everything you need to know about this question

How do I read the coordinates from the number line?

Look at where each letter aligns with the numbers below. For example, A is at -5, G is at 1, and N is at 8. The letters above show the positions.

Why does B-C-D equal 1 instead of -9?

Because $B-C-D = -4-(-3)-(-2)$ ! When you subtract negative numbers, it becomes addition: $-4+3+2 = 1$ .

What's the rule for subtracting negative numbers?

Subtracting a negative equals adding a positive. So $-(-3) = +3$ and $-(-2) = +2$ . Think: "minus a minus is plus!"

How do I know which expression has the largest value?

Calculate each one completely, then compare the final results:

$H+D = 0$
$B-C-D = 1$
$G+I = 4$ (largest!)
$F = 0$

Can I use a different method to solve this?

Yes! You could also think of it as moving on the number line. For G+I, start at 1 and move 3 spaces right to reach 4. This visual method helps confirm your calculations.

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