Ascending & Descending Order – Class 2 to 4 Maths | CBSE & UP Board | GPN

Class 2 Class 3 Class 4 CBSE UP Board

📈 Ascending & Descending Order – Putting Numbers in Line!

Ever lined up from shortest to tallest? That’s ascending order. From tallest to shortest? That’s descending order. Numbers love to line up too! Let's learn how to arrange numbers from smallest to largest and largest to smallest.

1. 📈 What is Ascending Order?

Ascending order means arranging numbers from the smallest to the largest. Think of climbing up a staircase – you start at the bottom (smallest) and go up (larger).

→

3 → 7 → 12 (3 < 7 < 12)

Example 1

Arrange in ascending order: 8, 3, 10, 1

▶ Show Solution ▼

Smallest to largest: 1, 3, 8, 10 → 1, 3, 8, 10

Example 2

Write in ascending order: 45, 32, 56, 23

▶ Show Solution ▼

23, 32, 45, 56

✍️ Try yourself: Arrange in ascending order:

7, 2, 9, 4
67, 54, 89, 43

2. 📉 What is Descending Order?

Descending order means arranging numbers from the largest to the smallest. Think of sliding down a slide – you start at the top (largest) and go down (smaller).

→

20 → 15 → 8 (20 > 15 > 8)

Example 1

Arrange in descending order: 5, 12, 7, 9

▶ Show Solution ▼

Largest to smallest: 12, 9, 7, 5 → 12, 9, 7, 5

Example 2

Write in descending order: 34, 56, 21, 43

▶ Show Solution ▼

56, 43, 34, 21

✍️ Try yourself: Arrange in descending order:

8, 3, 10, 6
98, 76, 89, 67

3. 🌟 Real-Life Examples

We use ascending and descending order all the time without even realizing it!

🧍‍♂️🧍‍♀️

Height order: Students lining up from shortest to tallest = ascending order.

🏆

Sports rankings: 1st place (highest score) to last place = descending order.

📅

Dates: From oldest to newest = ascending; newest to oldest = descending.

Example

If you arrange your marks in exams from highest to lowest, is that ascending or descending?

▶ Show Answer ▼

Highest to lowest = descending order.

4. 🔢 Ordering Larger Numbers (Place Value)

When numbers have more digits, compare them step by step from the left:

Step 1: Count the digits. More digits = larger number.
Step 2: If same number of digits, compare the leftmost digit.
Step 3: If those are equal, move to the next digit, and so on.

1234

1243

1324

1342

1234 < 1243 < 1324 < 1342 (ascending order)

Example

Arrange in ascending order: 3289, 3298, 3982, 3928

▶ Show Solution ▼

All numbers have 4 digits. Compare step by step:

Thousands: all are 3 → same.
Hundreds: two numbers have 2 (3289, 3298) and two have 9 (3982, 3928). Numbers with smaller hundreds come first.
Order the 2‑hundred group: 3289 and 3298. Compare their tens: 8 vs 9 → 3289 < 3298.
Order the 9‑hundred group: 3928 and 3982. Compare tens: 2 vs 8 → 3928 < 3982.

Ascending order: 3289, 3298, 3928, 3982

✍️ Try yourself: Arrange in ascending order:

4567, 4576, 4657, 4675
8234, 8243, 8324, 8342

5. ✅ More Solved Examples

Example 1

Arrange in descending order: 2345, 2354, 2435, 2453

▶ Show Solution ▼

All numbers have 4 digits. Compare from left:

Thousands: all 2 → same.
Hundreds: two numbers have 4 (2435, 2453) and two have 3 (2345, 2354). Larger hundreds come first in descending order.
Order the 4‑hundred group: 2435 and 2453. Compare tens: 3 vs 5 → 2453 > 2435.
Order the 3‑hundred group: 2345 and 2354. Compare tens: 4 vs 5 → 2354 > 2345.

Descending order: 2453, 2435, 2354, 2345

Example 2

Arrange in ascending order: 5678, 5687, 5768, 5786

▶ Show Solution ▼

Ascending order: 5678 < 5687 < 5768 < 5786 → 5678, 5687, 5768, 5786

Example 3

Arrange in descending order: 9876, 9867, 9786, 9768

▶ Show Solution ▼

Descending order: 9876 > 9867 > 9786 > 9768 → 9876, 9867, 9786, 9768

✍️ Try yourself:

Arrange in ascending order: 3456, 3465, 3546, 3564
Arrange in descending order: 7891, 7819, 7981, 7918

6. 📚 Real-Life Word Problems

Problem 1

In a race, the finishing times (in seconds) were: 45, 38, 52, 41. Who came first (lowest time)? Arrange the times in ascending order.

▶ Show Solution ▼

Ascending order: 38, 41, 45, 52. First place = 38 seconds.

Problem 2

The heights (in cm) of five children are: 135, 128, 142, 130, 139. Arrange them in descending order (tallest to shortest).

▶ Show Solution ▼

Descending: 142, 139, 135, 130, 128.

Problem 3

A shop has items priced at ₹450, ₹380, ₹520, ₹410. List them from cheapest to costliest (ascending order).

▶ Show Solution ▼

Ascending: ₹380, ₹410, ₹450, ₹520.

Problem 4

In a test, marks obtained were: 78, 85, 62, 91, 70. Arrange in descending order (highest to lowest).

▶ Show Solution ▼

Descending: 91, 85, 78, 70, 62.

✏️ Practice Zone

Try all questions yourself first. Click the answer key only after you've finished.

🟡 Class 2 Level

Q1. Arrange in ascending order: 5, 2, 8, 3
Q2. Arrange in descending order: 7, 4, 9, 6
Q3. Which is smaller: 45 or 54?
Q4. Which is larger: 89 or 98?
Q5. Write the next number in ascending order: 12, 15, 18, ___
Q6. Fill: 34 > ___ > 30 (choose from 32, 35, 29)
Q7. True or False: Ascending means largest to smallest.
Q8. If you line up from tallest to shortest, is that ascending or descending?

🔵 Class 3 Level

Q9. Arrange in ascending order: 23, 45, 12, 34, 56
Q10. Arrange in descending order: 67, 89, 76, 98, 54
Q11. Compare using >, <, or =: 234 ___ 243
Q12. Write in ascending order: 321, 312, 231, 213
Q13. Write in descending order: 567, 576, 657, 675
Q14. The heights (cm) are: 145, 138, 152, 147. Arrange from shortest to tallest.
Q15. Arrange these prices in ascending order: ₹450, ₹405, ₹540, ₹504.
Q16. Fill in the missing number in descending order: 98, 87, ___, 65

🔴 Class 4 Level

Q17. Arrange in ascending order: 2345, 2354, 2435, 2453
Q18. Arrange in descending order: 5678, 5687, 5768, 5786
Q19. Which is greater: 3456 or 3465?
Q20. Write in ascending order: 4567, 4576, 4657, 4675
Q21. The populations of four towns are: 8945, 8954, 8495, 8549. Arrange from highest to lowest.
Q22. Arrange in descending order: 9876, 9867, 9786, 9768
Q23. A student scored marks: 78, 85, 62, 91, 70. Arrange in ascending order.
Q24. Create your own 4‑digit numbers and arrange them in ascending order.

🟢 Match the Following

1. Ascending order

A. largest to smallest

2. Descending order

B. climbing up a staircase

3. 5, 9, 12, 15 is

C. descending

4. 20, 15, 10, 5 is

D. ascending

🔑 Show Answer Key ▼

Q1. 2, 3, 5, 8
Q2. 9, 7, 6, 4
Q3. 45
Q4. 98
Q5. 21
Q6. 32
Q7. False
Q8. Descending
Q9. 12, 23, 34, 45, 56
Q10. 98, 89, 76, 67, 54
Q11. 234 < 243
Q12. 213, 231, 312, 321
Q13. 675, 657, 576, 567
Q14. 138, 145, 147, 152
Q15. ₹405, ₹450, ₹504, ₹540
Q16. 76
Q17. 2345, 2354, 2435, 2453
Q18. 5786, 5768, 5687, 5678
Q19. 3465
Q20. 4567, 4576, 4657, 4675
Q21. 8954, 8945, 8549, 8495
Q22. 9876, 9867, 9786, 9768
Q23. 62, 70, 78, 85, 91
Match: 1→B, 2→A, 3→D, 4→C

📄 Practice Worksheet

Reinforce ascending and descending order with our 30‑question practice worksheet – includes real‑life problems, ordering large numbers, and answer key.

📝 Go to Practice Worksheet

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