Class 2 Notes - Number Sense

Introduction to Number Sense

Number sense is the foundation of all mathematical understanding. In Class II, students build on what they have already learned about numbers in Class I and begin to explore larger numbers, their values, positions, and operations.

Key Concepts in Number Sense

1. Understanding Numbers up to 1000

In the Indian place value system, numbers are written in terms of ones, tens, and hundreds.

Example: In the number 345:
3 × 100 = 300
4 × 10 = 40
5 × 1 = 5
Total = 345

2. Writing Numbers in Words and Figures

NumberIn Words
100One hundred
205Two hundred five
999Nine hundred ninety-nine

Reading and Writing Numbers up to 1000

783 → Seven hundred eighty-three
420 → Four hundred twenty

Place Value and Face Value

Place Value: The value of a digit depending on its position.
Face Value: The digit itself.

In 472:
4 → Place Value = 400, Face Value = 4
7 → Place Value = 70, Face Value = 7

Expanded Form of Numbers

826 = 800 + 20 + 6
340 = 300 + 40 + 0
Activity: Pick any 3-digit number and write its expanded form.

Comparing Numbers

Symbols: > Greater than, < Less than, = Equal to

524 > 320
208 < 812
657 = 657
Tip: The alligator always eats the bigger number!

Ordering Numbers

Ascending Order

321, 433, 556, 678

Descending Order

912, 789, 543, 100

Odd and Even Numbers

  • Even: End in 0, 2, 4, 6, 8
  • Odd: End in 1, 3, 5, 7, 9

Skip Counting

  • By 2s: 2, 4, 6, 8, 10...
  • By 5s: 5, 10, 15, 20...
  • By 10s: 10, 20, 30, 40...

Before, After, and Between

  • Before 304 → 303
  • After 799 → 800
  • Between 209 and 211 → 210

Forming Numbers

Use digits 3, 7, 1:
Greatest: 731
Smallest: 137

Rounding Numbers

43 → 40
78 → 80

Tip: 0–4 round down, 5–9 round up

Ordinal Numbers

  • 1st – First
  • 2nd – Second
  • 3rd – Third
  • 4th – Fourth

Number Patterns

2, 4, 6, 8 → 10
100, 90, 80 → 70

Estimating Numbers

Estimation is giving an approximate value.

Use of Numbers in Daily Life

  • Reading page numbers
  • Clocks
  • Counting money
  • Phone numbers

Fun Activities

  • Number cards from 100 to 999
  • Dice games
  • Number hunt at home
  • Draw place value houses
  • Math stories

Common Mistakes

  • Confusing place value and face value
  • Spelling mistakes in number names
  • Comparing digits instead of numbers

Assessment Questions

Objective:

  • Place value of 3 in 435?
  • Write 892 in words
  • Number name for 670
  • Which is greater: 783 or 738?

Short Answer:

  • 3 numbers between 150 and 160
  • Arrange: 208, 802, 820 (ascending)
  • Circle even numbers: 13, 24, 35, 42, 57

Projects:

  • Place value chart with matchsticks
  • Snakes & ladders with skip counting
  • Birthday chart with ordinal numbers

Conclusion

This chapter helps students understand how numbers work in real life. With activities and practice, children can develop confidence in math.