Number Line Comparison: Determine if Point D = -2

Q: Why is 0 greater than -2 when 2 is greater than 0?

The negative sign changes everything! While 2 > 0 is true, -2 means 2 units below zero, making it smaller than 0.

Q: How do I remember which way the inequality sign goes?

Think of the inequality sign as an arrow pointing to the smaller number. Since 0 > -2, the arrow points toward -2 because it's smaller.

Q: What if both numbers were negative?

Compare their distances from zero! The number closer to zero is always greater. For example: -1 > -3 because -1 is closer to zero.

Q: Can I use the number line for all comparisons?

Absolutely! The number line is the most reliable method for comparing any numbers. The number on the right is always greater than the number on the left.

Q: What does point D represent on this number line?

Point D is located at $ -2 $ on the number line. You can see this by counting the tick marks or reading the label directly below point D.

Number Line Comparison with Negative Integers

Fill in the corresponding sign

$0?D$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the corresponding sign

$0?D$

Step-by-step solution

Let's locate the point on the number line and see which number it represents:

$D=-2$

After locating the numbers, we can determine:

$0 > -2$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Position Rule: Numbers increase in value moving left to right
Technique: Locate point D at -2, then compare with 0
Check: Since 0 is right of -2 on number line, 0 > -2 ✓

Common Mistakes

Avoid these frequent errors

Thinking negative numbers are greater than positive numbers
Don't assume -2 is greater than 0 because 2 > 0! Negative numbers are always less than positive numbers and zero. Always remember that moving left on a number line means getting smaller values.

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

Why is 0 greater than -2 when 2 is greater than 0?

The negative sign changes everything! While 2 > 0 is true, -2 means 2 units below zero, making it smaller than 0.

How do I remember which way the inequality sign goes?

Think of the inequality sign as an arrow pointing to the smaller number. Since 0 > -2, the arrow points toward -2 because it's smaller.

What if both numbers were negative?

Compare their distances from zero! The number closer to zero is always greater. For example: -1 > -3 because -1 is closer to zero.

Can I use the number line for all comparisons?

Absolutely! The number line is the most reliable method for comparing any numbers. The number on the right is always greater than the number on the left.

What does point D represent on this number line?

Point D is located at $-2$ on the number line. You can see this by counting the tick marks or reading the label directly below point D.

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