Number Line Comparison: Determine if Point D is Greater or Less Than Zero

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

Think of the symbol as a hungry mouth that always wants to eat the bigger number! Since 0 is bigger than -2, the mouth opens toward 0: $ 0 > -2 $.

Q: What does it mean when a point is to the left of zero?

Points to the left of zero represent negative numbers. The further left you go, the smaller the number becomes. So -5 is smaller than -2!

Q: Can I write the answer as D D?

Absolutely! Both $ 0 > D $ and \( D mean exactly the same thing. Choose whichever format matches what the question is asking for.

Q: How do I read the number line correctly?

Start by finding zero as your reference point. Numbers increase as you move right (+1, +2, +3...) and decrease as you move left (-1, -2, -3...).

Q: What if the point was exactly on zero?

If point D was exactly on zero, then $ D = 0 $, and we would use the equals sign (=) instead of greater than or less than symbols.

Number Line Positioning with Negative Integers

Fill in the corresponding sign

$0?D$

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Understand the problem

Fill in the corresponding sign

$0?D$

Step-by-step solution

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

$D=-2$

Since the number negative 2 is negative, it must be less than zero, therefore:

$0 > -2$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Position Rule: Numbers to the left of zero are negative
Technique: Point D sits at -2, which is 2 units left of zero
Check: Since -2 < 0, we write 0 > -2 or equivalently D < 0 ✓

Common Mistakes

Avoid these frequent errors

Confusing the direction of inequality symbols
Don't write -2 > 0 just because you see point D first = backwards comparison! This reverses the true relationship. Always remember that negative numbers are smaller than zero, so 0 > -2.

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 remember which way the inequality symbol goes?

Think of the symbol as a hungry mouth that always wants to eat the bigger number! Since 0 is bigger than -2, the mouth opens toward 0: $0 > -2$ .

What does it mean when a point is to the left of zero?

Points to the left of zero represent negative numbers. The further left you go, the smaller the number becomes. So -5 is smaller than -2!

Can I write the answer as D < 0 instead of 0 > D?

Absolutely! Both $0 > D$ and $D < 0$ mean exactly the same thing. Choose whichever format matches what the question is asking for.

How do I read the number line correctly?

Start by finding zero as your reference point. Numbers increase as you move right (+1, +2, +3...) and decrease as you move left (-1, -2, -3...).

What if the point was exactly on zero?

If point D was exactly on zero, then $D = 0$ , and we would use the equals sign (=) instead of greater than or less than symbols.

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