# House of Hundreds – II

## Overview

In this chapter, students expand their understanding of large numbers (up to 1000), explore number patterns, enhance estimation skills, and use number lines for locating and comparing values. Various puzzles and games make the learning engaging and interactive. The focus is on strengthening number sense, place value understanding, and skip counting.

## Key Topics Covered

### 1. Estimation and Reasoning with Numbers
- A story involving Akbar and Birbal introduces estimation and reasoning. Birbal estimates the number of crows in the city as 963 and justifies the number with logical reasoning (visiting or holidaying crows).
- Children are encouraged to guess quantities in real-life contexts (like the number of students or peanuts in a cart).

### 2. Drawing and Representing Numbers
- Students draw tiles to visually represent numbers such as:
- 832, 947, 726, 504, 620, 700
- This reinforces place value (hundreds, tens, ones).

### 3. Locating Numbers on a Number Line
- Numbers like 530, 540, 628, 696 and 703, 721, 759, 810 are plotted.
- Number line segments focus on understanding intervals of 10, 20, and 50.

### 4. Finding Neighbouring Numbers
- Children identify the nearest:
- Hundreds
- Fifties
- Tens
- Example: 468 lies between 400 and 500; between 450 and 500; between 460 and 470.

### 5. Using Number Line Jumps
- A fun exercise using cranes reaching food encourages mental math.
- Jumps on a number line (e.g., +15, -15, +25) are used to show steps to reach a number like 650, 700, or 800 from a given number like 667 or 750.

### 6. Tambola Game with Numbers
- A game involving numbers between 570 and 630:
- Students strike out numbers based on clues like:
- "A number with 4"
- "Two more than 610"
- "5 less than 625"
- Helps reinforce mental calculations and number properties.

### 7. Number Patterns and Skip Counting
- Patterns involving sequences (e.g., 940 to 959, then 961 onward).
- Skip counting by +10, +25, +30, etc. used to fill grids and recognize predictable sequences.

### 8. Number Sentences and Operations
- Practice problems include:
- Writing number sentences for 290 + 110 or 750 + 25.
- Creating numbers that meet given criteria like:
- “I have 3 hundreds, 6 tens and 8 ones” → 368
- “32 less than 400” → 368

### 9. Number Puzzles and Matching
- Matching objects with estimated numbers (flowers, books, pages).
- Matching clues like:
- “I have 2 zeroes and am close to 99” → 100
- “Century + half century” → 150
- “I come between 400 and 450 and have 5 as a digit” → 425

### 10. Fun with Patterns and Special Numbers
- Identifying:
- Twin digit numbers: 11, 22, 33
- Triplet numbers: 111, 222
- Palindromic numbers: 353, 868
- Making numbers with 3 and 8 (e.g., 38, 83, 388, 833)

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### 11. Making Numbers with Slips
- Students use six slips labeled 100, 10, or 1 to form numbers.
- Example: To make 420, use 4 slips with 100 and 2 slips with 10.
- Example: To make 231, use 2 slips of 100, 3 of 10, 1 of 1.

### 12. Bhutasankhya – Word Numerals
- Introduction to representing numbers with words (traditional method).
- Example words:
- “Moon” for 1
- “Eyes” for 2
- “Tri kala” for 3
- Students match or write numbers using these symbolic references.

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## New Terms and Simple Definitions

| Term | Simple Definition |
|--------------------|------------------|
| Estimate | A good guess or close value |
| Neighbouring | The numbers that come just before and after |
| Skip Counting | Counting by jumping numbers like +5, +10 |
| Number Line | A straight line used to show numbers in order |
| Palindrome | A number that reads the same forwards and backwards |
| Place Value | The value of a digit depending on its position (hundreds, tens, ones) |
| Tambola | A fun number game where you cross out called numbers |
| Word Numerals | Writing numbers using words or symbols |
| Twin Digits | Numbers with two same digits (e.g., 11, 22) |
| Triplet Digits | Numbers with three same digits (e.g., 111, 222) |

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## Practice Problems

### Easy (3 Problems)
1. Write the number between 400 and 500 that has a 6 in the tens place.
**Answer**: 460

2. How many hundreds, tens, and ones are there in 726?
**Answer**: 7 hundreds, 2 tens, 6 ones

3. What number is 5 more than 695?
**Answer**: 700

### Medium (2 Problems)
4. Find two numbers between 595 and 605 and locate them on a number line.
**Answer**: 597 and 600

5. If I add 110 to 290, what number do I get?
**Answer**: 400
**Explanation**: 290 + 110 = 400

### Difficult (3 Problems)
6. What number comes 32 less than 400?
**Answer**: 368
**Explanation**: 400 - 32 = 368

7. Make a number using six slips: four slips of 100 and two slips of 10.
**Answer**: 420
**Explanation**: 100×4 + 10×2 = 400 + 20 = 420

8. I am a three-digit number with all same digits. What numbers can I be?
**Answer**: 111, 222, 333, 444, 555, 666, 777, 888, 999

### Very Difficult (2 Problems)
9. Find all palindromic numbers between 600 and 700.
**Answer**: 606, 616, 626, 636, 646, 656, 666, 676, 686, 696
**Explanation**: Palindromes read the same both ways.

10. Create as many 2 or 3 digit numbers using only 3 and 8 (digits can repeat).
**Answer**:
- 2-digit: 33, 38, 83, 88
- 3-digit: 333, 338, 383, 388, 833, 838, 883, 888
**Explanation**: Reuse 3 and 8 in all combinations for 2- and 3-digit numbers.
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