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

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!"

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

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 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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