Comparing Inequalities: Is -4 Greater Than -3 on a Number Line?

Q: Why is -4 smaller than -3 when 4 is bigger than 3?

Think of negative numbers as temperatures below zero! -4°C is colder (smaller) than -3°C. The further left on the number line, the smaller the value.

Q: How do I remember which negative number is bigger?

Use the number line trick: rightward movement = increasing value. Since -3 is to the right of -4, we know $ -3 > -4 $.

Q: What does the symbol > mean again?

The symbol > means "greater than" and means "less than". Think of it as a hungry mouth that always wants to eat the bigger number!

Q: Can I use real-world examples to understand this?

Absolutely! Think of:Debt: Owing $4 is worse than owing $3Elevation: 4 feet below sea level is lower than 3 feet belowTemperature: -4°C is colder than -3°C

Q: How do I write the comparison correctly?

You can write it two ways: $ -4 (read as "-4 is less than -3") or \( -3 > -4 $ (read as "-3 is greater than -4"). Both are correct!

Negative Number Comparison with Number Lines

$-4>-3$

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Understand the problem

$-4>-3$

Step-by-step solution

The answer is incorrect because neative 3 is greater than negative 4:

$-4 < -3$

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic

Rule: Numbers to the left are smaller than numbers to the right
Technique: Position -4 is left of -3, so -4 < -3
Check: Verify by moving right increases value: -4 → -3 increases ✓

Common Mistakes

Avoid these frequent errors

Thinking larger absolute values mean larger numbers with negatives
Don't compare just the numbers after the negative sign = wrong order! |-4| > |-3| but -4 < -3 because negative numbers work opposite to positive. Always remember that negative numbers get smaller as they move away from zero.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why is -4 smaller than -3 when 4 is bigger than 3?

Think of negative numbers as temperatures below zero! -4°C is colder (smaller) than -3°C. The further left on the number line, the smaller the value.

How do I remember which negative number is bigger?

Use the number line trick: rightward movement = increasing value. Since -3 is to the right of -4, we know $-3 > -4$ .

What does the symbol > mean again?

The symbol > means "greater than" and < means "less than". Think of it as a hungry mouth that always wants to eat the bigger number!

Can I use real-world examples to understand this?

Absolutely! Think of:

Debt: Owing $4 is worse than owing $3
Elevation: 4 feet below sea level is lower than 3 feet below
Temperature: -4°C is colder than -3°C

How do I write the comparison correctly?

You can write it two ways: $-4 < -3$ (read as "-4 is less than -3") or $-3 > -4$ (read as "-3 is greater than -4"). Both are correct!

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