Find the Relationship Between Points I(3) and C(-3) on Number Line

Q: Why is 3 greater than -3 when they look the same?

The sign makes all the difference! The number 3 is positive (above zero), while -3 is negative (below zero). On a number line, numbers get larger as you move right.

Q: How can I remember which direction means greater?

Think of a thermometer! Higher temperatures are warmer, and they're found above lower temperatures. On a horizontal number line, greater numbers are to the right.

Q: Do I need to calculate anything for these problems?

No calculation needed! Just identify the values from the number line, then remember that positive numbers are always greater than negative numbers.

Q: What if both numbers were negative?

When both numbers are negative, the one closer to zero is greater. For example, -2 > -5 because -2 is closer to zero on the number line.

Number Comparison with Positive and Negative Integers

Fill in the missing sign (?):

$I?C$

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Understand the problem

Fill in the missing sign (?):

$I?C$

Step-by-step solution

First let's locate the letters on the number line to see which numbers they represent:

$I=3$

$C=-3$

Since the number 3 is positive and the number -3 is negative, we can write them as follows:

$3 > -3$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Rule: Any positive number is always greater than any negative number
Technique: Locate values on number line: I = 3, C = -3
Check: Verify position: 3 is 6 units right of -3 on number line ✓

Common Mistakes

Avoid these frequent errors

Comparing absolute values instead of actual values
Don't compare |3| and |-3| and say they're equal = wrong comparison! This ignores the crucial difference between positive and negative values. Always compare the actual numbers with their signs included.

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 3 greater than -3 when they look the same?

The sign makes all the difference! The number 3 is positive (above zero), while -3 is negative (below zero). On a number line, numbers get larger as you move right.

How can I remember which direction means greater?

Think of a thermometer! Higher temperatures are warmer, and they're found above lower temperatures. On a horizontal number line, greater numbers are to the right.

What if the numbers were closer together?

The same rule applies! Even if you had 1 and -1, the positive number (1) is still greater than the negative number (-1). Any positive beats any negative.

Do I need to calculate anything for these problems?

No calculation needed! Just identify the values from the number line, then remember that positive numbers are always greater than negative numbers.

What if both numbers were negative?

When both numbers are negative, the one closer to zero is greater. For example, -2 > -5 because -2 is closer to zero on the number line.

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