Number Notation: Comparing 3.98 and +3.98 Representations

Positive Number Notation with Sign Equivalence

3.98 3.98 and +3.98 +3.98 are two ways of writing the same number.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3.98 3.98 and +3.98 +3.98 are two ways of writing the same number.

2

Step-by-step solution

Indeed, both forms are identical since a number without a sign will be positive, as in the case of 3.98

If there is a plus sign before the number, the number is necessarily positive, as in the case of +3.98

Therefore, the answer is correct.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Rule: Numbers without signs are automatically positive by convention
  • Technique: 3.98 3.98 equals +3.98 +3.98 since both represent positive values
  • Check: Both forms show the same position on number line ✓

Common Mistakes

Avoid these frequent errors
  • Thinking unsigned numbers are neither positive nor negative
    Don't assume 3.98 is neutral or different from +3.98 = wrong understanding! This creates confusion about number line placement. Always remember that numbers without signs are positive by mathematical convention.

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 don't we always write the plus sign for positive numbers?

+

It's a mathematical convention to save space and simplify notation. Just like we don't write +5 apples when counting - we know positive is the default!

When should I include the plus sign?

+

Include + signs when you need to emphasize that a number is positive, especially when comparing with negative numbers or in coordinate systems.

Are there any situations where the plus sign changes meaning?

+

No! The plus sign before a number always indicates positive value. It's different from the + symbol used for addition between numbers.

What about zero - is it positive or negative?

+

Zero is neither positive nor negative - it's neutral! You might see it written as 0, +0, or -0, but they all represent the same value.

How can I remember this rule?

+

Think of positive as the default state - like room temperature being normal without saying 'warm'. The + sign is just extra emphasis!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations