Compare 100
Comprehensive notes, formulas, and practice questions for Compare 100.
Compare 100
Comparing Numbers up to 100
NCERT anchor
Joyful Mathematics 2 — Fun with Numbers. Comparing scores and ordering roll numbers on a line follows the greater-than and less-than ideas in Fun with Numbers.
What you'll learn
- To compare two numbers using >, <, and =.
- The rule: compare tens first, then ones if tens are equal.
- To order numbers from smallest to largest on a number line.
Key concepts
Verbal: Ask: Which has more tens? If tens are equal, ask which has more ones?
Symbolic: 47 < 52 because 4 tens < 5 tens. 63 < 68 because tens equal (6) and 3 < 8.
Level 1 — Compare tens first
- 47 vs 52 → compare 4 tens vs 5 tens → 47 < 52
- 63 vs 68 → same tens (6), compare ones: 3 < 8 → 63 < 68
Level 1 — Symbols
| Symbol | Meaning | Example |
|---|---|---|
| > | greater than | 75 > 71 |
| < | less than | 29 < 92 |
| = | equal to | 50 = 50 |
Level 1 — Number line tip
Numbers to the right are larger. 45 is right of 40.
Level 2 — Equal tens
If tens digits match, ones digit decides: 81 vs 87 → 1 < 7.
Level 2 — Indian context
Comparing scores in a kho-kho match (34 vs 41 runs) or mangoes sold at a stall.
Worked example
Which is greater: 58 or 85?
Step 1 — Compare tens: 5 vs 8
Step 2 — 8 tens > 5 tens, so 85 > 58
Step 3 — Write: 58 < 85
Answer: 85 is greater
Common mistakes
| Mistake | Why | Fix |
|---|---|---|
| 72 > 27 because 7 > 2 | Looking at first digit only when tens differ | 72 has 7 tens, 27 has 2 tens |
| Using > for smaller number | Symbol confusion | Open mouth points to bigger number |
| Forgetting 100 > any two-digit | 100 has 3 digits | 100 is the biggest in this chapter |
Quick check
- Fill in: 64 ___ 46
- Arrange 71, 17, 77 from smallest to largest.
- Is 90 greater than 89? How do you know?
Stretch: Arrange these kho-kho scores from highest to lowest: 41, 14, 40, 44. Explain using tens first.
Revision tip: Draw a 0–100 number line and mark your roll number and a friend's — the number on the right is always greater.
Open the Practice tab for graded questions on Comparing Numbers up to 100.
Interactive Exploration Suggestions (Drishti Live Worlds)
- Use the platform-native live simulation or PhET-style tool for this topic (number line, Venn, physics playground, molecule builder, sensor dashboard, etc.).
- Mirror / body / home activity: physically do the concept (count objects, measure, role-play) and photograph or describe for portfolio.
- Voice or text reflection with AI Mentor: explain the concept to a younger student or family member.
AI Mentor Prompts (Socratic, Board-Adaptive)
- "Explain this concept to a Class 6 student using one real example from an Indian home, school, market, or festival."
- "What is one common mistake students make here, and how would you catch yourself making it?"
- Stretch: "How does this connect to coding, robotics, money, health, environment, or a future career?"
Gamification, Portfolio & Parent Visibility
- Complete the core practice + one extension activity (photo, table, short reflection, or mini-project) for base XP + topic badge.
- 5-7 day streak or family discussion note = multiplier + visible artifact in parent/principal dashboard.
- Best real-world application stories (anonymised) featured on class or national leaderboard.
Robotics, STEM & Future Skills Bridges
- One hands-on project or measurement using the Drishti kit or household items that makes the concept physical.
- Direct link to at least one Future Skill track (Money Management, Green Tech, Cyber Defenders, Micro-Entrepreneurship, AI Mastery, Sustainable Living, Personality Development).
- Coding extension where relevant (simple script, simulation, or data logging).
NEP 2020 & Full Education OS Alignment
This material emphasises experiential "learning by doing", competency (apply/create/analyse), vocational exposure, critical thinking, and multidisciplinary connections. Designed to feed live worlds, AI Mentor (with memory), gamification, robotics, parent analytics, and future skills — not just exam prep.
Portfolio Evidence Idea: Your photo/table/reflection/project + one sentence on "How this helps me in real life or a possible future path."
Open the Practice tab for aligned questions (easy/medium/hard + case-based) with full AI scaffolding.
See curriculum for cross-links and the full future-skills/robotics chapters.
Key Takeaways (TL;DR)
- NCERT anchor
- What you'll learn
- Key concepts
- Worked example
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