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.

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Step-by-step written solution

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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

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 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!

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