Number Line Inequality: Comparing Points I and C on -5 to 5 Scale

Number Line Positioning with Negative Values

Fill in the corresponding sign

I?C I?C

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

I?C I?C

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 letters on the number line and see which numbers represent them:

I=3 I=3

C=−3 C=-3

After locating the numbers, we can determine:

3>−3 3>-3

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Position: Numbers increase from left to right on number line
  • Technique: Point I at 3 is farther right than C at -3
  • Check: Verify positions: 3 is 6 units right of -3 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing negative number positioning
    Don't think -3 is greater than 3 because 3 looks smaller = backwards logic! Negative numbers are always less than positive numbers. Always remember that moving right on the number line means getting larger 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 3 greater than -3 when 3 is smaller than 3?

+

The negative sign changes everything! −3 -3 means 3 units below zero, while 3 3 means 3 units above zero. On a number line, right is always greater than left.

How do I remember which direction is greater?

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Think of a thermometer! Higher temperatures (moving up or right) are greater than lower temperatures. Just like 3°C 3°C is warmer than −3°C -3°C .

What if both numbers were negative?

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The number closer to zero is always greater! For example, −1>−5 -1 > -5 because -1 is farther right on the number line than -5.

Can I just ignore the negative signs?

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Never ignore negative signs! They completely change the value. −3 -3 and 3 3 are opposite numbers with very different positions on the number line.

How do I compare numbers quickly on a number line?

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Use the "right is greater" rule! Whatever point is farther to the right represents the larger number. Point I is right of point C, so I>C I > C .

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