To represent 1.3 on a number line: locate the integers 1 and 2; divide the segment between them into 10 equal parts; count 3 parts from 1. The 3rd part (mark) represents 1.3. This is a fundamental skill in Class 9 Maths (NCERT Chapter 1 — Number Systems).
1.3 lies between 1 and 2 on the number line.
To represent 1.3: divide segment between 1 and 2 into 10 equal parts; 3rd mark = 1.3.
Each division = 0.1; marks: 1.1, 1.2, 1.3, 1.4... 2.0.
NCERT Class 9 Maths Chapter 1 — Number Systems.
For 2-decimal numbers (1.33): first locate 1.3, then divide 1.3–1.4 into 10 parts.
All decimals can be represented by successive division into 10 equal parts.
Steps to Represent 1.3 on Number Line:
Step 1: Draw a number line. • Draw a straight horizontal line and mark equal-spaced points. • Mark 0, 1, 2, 3, ... on the number line.
Step 2: Locate the integers. • 1.3 lies between 1 and 2 (since 1 < 1.3 < 2). • Focus on the segment between 1 and 2.
Step 3: Divide into 10 equal parts. • Divide the distance between 1 and 2 into 10 equal parts. • Each part = 0.1 (one-tenth) • Marks from left: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0
Step 4: Mark 1.3. • Count 3 parts from 1 (moving right). • The 3rd mark = 1.3. Mark it with a point and label it.
Number Line: ←——|———|———|———|———|———|———|———|———|———|———| 1 1.1 1.2 [1.3] 1.4 1.5 1.6 1.7 1.8 1.9 2 ↑ 1.3
Similar Examples:
| Number | Lies Between | Divide by | Count |
|---|---|---|---|
| 1.3 | 1 and 2 | 10 | 3 from 1 |
| 2.5 | 2 and 3 | 10 | 5 from 2 |
| 0.7 | 0 and 1 | 10 | 7 from 0 |
| 3.2 | 3 and 4 | 10 | 2 from 3 |
| 1.33 | 1.3 and 1.4 | 10 again | 3 from 1.3 |
Representing √2 on Number Line (Related, Class 9): • Use Pythagoras theorem: triangle with legs 1,1 → hypotenuse = √2 • Draw 1 unit right of O, then perpendicular of 1 unit; arc to number line = √2
NCERT Class 9 Maths, Chapter 1 — Number Systems
To represent 1.3 on a number line: (1) Mark integers 1 and 2. (2) 1.3 lies between 1 and 2. (3) Divide the segment 1–2 into 10 equal parts (each part = 0.1). (4) Count 3 parts from 1 — the 3rd mark is 1.3. Mark it with a point and label it. This method extends to any decimal: divide the segment between the two nearest integers into 10 equal parts.
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