Number Systems • Topic 1 of 6

Review of Number Line Representation

What is a Number Line?

A number line is a straight line with numbers placed at equal intervals. It helps us visualize the order and relationships between different types of numbers.

Types of Numbers on the Number Line:

Number TypeDefinitionExamplesPosition on Number Line
**Whole Numbers**Natural numbers including 00, 1, 2, 3, ...Zero at center, all others right
**Integers**Whole numbers and their negatives..., -3, -2, -1, 0, 1, 2, 3, ...Both left (negative) and right (positive) of zero
**Rational Numbers**Numbers that can be expressed as p/q where q ≠ 01/2, -3/4, 2.5, 0.333...Between integers also, infinitely dense

Important Properties:

  • Every point on the number line represents a real number
  • Between any two distinct rational numbers, there are infinitely more rational numbers
  • The number line extends infinitely in both directions
Number Line — Types of Numbers→-3-2-10123Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ...Whole Numbers (W): 0,1,2,...Natural (N): 1,2,3,...3/4Real Numbers (R) = Rationals ∪ IrrationalsEvery point on the number line is a Real Number
Solved Examples
1
Worked Example

Solve a standard problem on Review of Number Line Representation.

Solution

Apply the formula/method shown in the concept section above.

Key Points

  • Understand the definition and properties of Review of Number Line Representation.
  • Study the worked examples and practice similar problems.
  • Always verify your answer using the original conditions.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.On the number line, every real number corresponds to:
Explanation: One-to-one correspondence.
Q2.Numbers to the left of $0$ are:
Explanation: Left of origin $\Rightarrow$ negative.
Q3.Between any two distinct rational numbers there are:
Explanation: Density of rationals.
Q4.On the number line, larger numbers lie to the:
Explanation: Increasing to the right.
Practice more MCQs → 📝 Assignment · 35 marks