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

$$ 5 < -5 $$

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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