Number Line Comparison: Determine if Point D = -2

Number Line Comparison with Negative Integers

Fill in the corresponding sign

0?D 0?D

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the corresponding sign

0?D 0?D

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

2

Step-by-step solution

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

D=2 D=-2

After locating the numbers, we can determine:

0>2 0 > -2

3

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

Fill in the corresponding sign

D ? J

AAA-6-6-6BBB-5-5-5CCC-4-4-4DDD-3-3-3EEE-2-2-2FFF-1-1-1GGG000HHH111III222JJJ333KKK444LLL555MMM666NNN777

FAQ

Everything you need to know about this question

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

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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?

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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?

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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?

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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?

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Point D is located at 2 -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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