Compare 100
Compare and order numbers using >, <, =; number-line reasoning.
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.
Key Takeaways (TL;DR)
- NCERT anchor
- What you'll learn
- Key concepts
- Worked example
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