Compare Numbers: Determine the Correct Sign Between 25 and -5

Q: Why is a positive number always bigger than a negative number?

Think of a number line! Positive numbers are to the right of zero, while negative numbers are to the left. The farther right you go, the greater the number becomes.

Q: What if the negative number has a bigger absolute value?

It doesn't matter! Even if you compare $ 1 $ and $ -100 $, the positive number $ 1 $ is still greater because any positive beats any negative.

Q: How can I remember which symbol means 'greater than'?

Remember the symbol $ > $ opens toward the bigger number. Think of it like a hungry alligator that wants to eat the larger number!

Q: Is there a quick way to compare positive and negative numbers?

Yes! If one number is positive and the other is negative, the positive number is always greater. No calculations needed!

Q: What about comparing two negative numbers?

For two negative numbers, the one closer to zero is greater. For example: $ -3 > -7 $ because -3 is closer to zero on the number line.

Number Comparison with Positive and Negative Integers

Fill in the corresponding sign

$25?-5$

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Understand the problem

Fill in the corresponding sign

$25?-5$

Step-by-step solution

Due to the fact that the number minus 5 is a negative number and that the number 25 is a positive number, 25 is indubitably greater:

$25 > -5$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Rule: Positive numbers are always greater than negative numbers
Technique: Use number line: 25 is right of -5
Check: Verify 25 > -5 by counting: -5 to 0 to 25 ✓

Common Mistakes

Avoid these frequent errors

Comparing absolute values only
Don't just look at 25 and 5 without signs = wrong comparison! This ignores that -5 is negative, making it smaller than any positive number. Always consider the signs when comparing numbers.

Practice Quiz

Test your knowledge with interactive questions

$$ 5 < -5 $$

FAQ

Everything you need to know about this question

Why is a positive number always bigger than a negative number?

Think of a number line! Positive numbers are to the right of zero, while negative numbers are to the left. The farther right you go, the greater the number becomes.

What if the negative number has a bigger absolute value?

It doesn't matter! Even if you compare $1$ and $-100$ , the positive number $1$ is still greater because any positive beats any negative.

How can I remember which symbol means 'greater than'?

Remember the symbol $>$ opens toward the bigger number. Think of it like a hungry alligator that wants to eat the larger number!

Is there a quick way to compare positive and negative numbers?

Yes! If one number is positive and the other is negative, the positive number is always greater. No calculations needed!

What about comparing two negative numbers?

For two negative numbers, the one closer to zero is greater. For example: $-3 > -7$ because -3 is closer to zero on the number line.

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