House of Hundreds For Class 3: Solve NCERT Chapter with Practice Questions

Numbers are everywhere. From counting toys to tracking scores in games, numbers help us understand the world better. One important step in learning numbers is understanding how they grow beyond 100. This is where the concept of House of Hundreds - II becomes exciting and useful.

In this blog, we will explore how numbers move from small to bigger values, how they are formed, and how we can easily read and compare them. Instead of memorizing, the focus here is on understanding numbers in a simple and fun way.

When kids start learning three digit numbers, they often feel confused. Questions like “What comes after 199?” or “How is 245 different from 254?” are very common. This chapter helps clear those doubts by breaking numbers into parts and explaining them step by step.

By the end of this guide, kids will feel more confident working with numbers above 100 and will enjoy solving problems related to them.

What is House of Hundreds - II? 

The idea of House of Hundreds - II is all about understanding numbers that are greater than 100. It helps kids learn how numbers are formed, how they increase, and how they can be grouped properly.

Imagine a house where numbers live. Each room in the house has a specific role:

• One room for ones
• One room for tens
• One room for hundreds

This “house” helps us organize numbers in a neat and clear way.

How the House Works

Let us break it down in a simple way:

So, when we write 125, we are actually saying:

• 1 group of 100
• 2 groups of 10
• 5 single units

This way of thinking makes numbers easy to understand.

Why This Concept is Important

Learning this concept helps in:

• Reading large numbers easily
• Writing numbers correctly
• Solving math problems faster
• Avoiding confusion between similar numbers

For example:

• 312 and 132 look similar but have very different meanings
• Understanding place value helps identify the difference quickly

Number Formation Made Simple

Numbers are formed by combining hundreds, tens, and ones.

Examples:

• 200 = 2 hundreds
• 340 = 3 hundreds + 4 tens
• 999 = 9 hundreds + 9 tens + 9 ones

As numbers increase, the value of each digit changes based on its position.

Visualizing the Concept

A fun way to understand this is by using objects:

• 100 beads = 1 hundred
• 10 beads = 1 ten
• 1 bead = 1 one

This method helps kids see how numbers are grouped and makes learning more interactive.

Common Confusions and How to Fix Them

Kids often make mistakes like:

• Mixing up digits (e.g., writing 231 instead of 213)
• Not understanding place value properly

To avoid this:

• Always read numbers slowly
• Break them into hundreds, tens, and ones
• Practice writing numbers regularly

Understanding 3-Digit Numbers (100 to 999)

When numbers go beyond 99, they enter a new level called three digit numbers. These numbers range from 100 to 999 and are an important part of House of Hundreds - II. Learning them helps kids read, write, and understand bigger values with ease.

Three digit numbers are made using three places:

• Hundreds
• Tens
• Ones

Each place has a different value, and together they form a complete number.

How 3-Digit Numbers Are Formed

Let us understand with simple examples:

• 100 = 1 hundred, 0 tens, 0 ones
• 256 = 2 hundreds, 5 tens, 6 ones
• 489 = 4 hundreds, 8 tens, 9 ones

This shows how each digit contributes to the number based on its position.

Breaking Numbers into Parts

A number can be expanded to understand it better:

This method is helpful because:

• It makes numbers easy to read
• It builds clarity in calculations
• It avoids confusion between similar numbers

Reading and Writing 3-Digit Numbers

Reading numbers correctly is very important. Here is how:

• 145 → One hundred forty five
• 320 → Three hundred twenty
• 999 → Nine hundred ninety nine

Tips to read numbers easily:

• First read the hundreds
• Then tens
• Then ones

Number Sequence in 3-Digit Numbers

Numbers follow a fixed order. For example:

• 100, 101, 102, 103…
• 245, 246, 247…

This helps kids understand:

• What comes next
• What comes before
• How numbers grow

Fun Patterns to Observe

• After 109 comes 110
• After 199 comes 200
• After 999, numbers move to four digits

Recognizing these patterns improves speed and accuracy.

Real-Life Examples

• Counting money like 150 rupees
• Keeping score in games like 275 points
• Numbering pages in books

These daily uses make learning more relatable and practical.

Quick Practice Ideas

Try these:

• Write any 3 numbers between 100 and 200
• Break them into hundreds, tens, and ones
• Read them aloud

This builds confidence and strengthens understanding.

“Strong basics build confident learners.”
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Place Value: Hundreds, Tens, and Ones

Place value is the backbone of House of Hundreds - II. It tells us the value of each digit based on its position in a number. Without place value, numbers would lose their meaning.

Understanding Place Value Simply

Each digit in a number has a place:

• Rightmost → Ones
• Middle → Tens
• Leftmost → Hundreds

Example:

So, 345 means:

• 3 hundreds = 300
• 4 tens = 40
• 5 ones = 5

Total = 345

Why Place Value Matters

Place value helps in:

• Understanding the actual value of numbers
• Comparing numbers easily
• Performing addition and subtraction correctly

For example:

• 321 is different from 123
• Even though digits are same, positions change the value

Expanded Form Using Place Value

Numbers can be written in expanded form:

• 456 = 400 + 50 + 6
• 780 = 700 + 80 + 0
• 901 = 900 + 0 + 1

This makes numbers more clear and easy to work with.

Place Value Chart

A simple chart can help visualize:

This represents the number 532.

Common Mistakes Kids Make

• Writing digits in wrong place
• Confusing tens and hundreds
• Skipping zero (like writing 605 as 65)

How to fix:

• Always use a place value chart
• Practice writing numbers slowly
• Double check each digit’s position

Fun Activity to Learn Place Value

Use objects like:

• 100 sticks for hundreds
• 10 sticks for tens
• Single sticks for ones

This visual method makes learning easy and fun.

Quick Check

• In 478, what is the value of 7? → 70
• In 905, what is the value of 9? → 900

Practicing such questions helps kids master place value quickly.

Number Patterns and Sequences in House of Hundreds

Numbers do not appear randomly. They follow a pattern, and understanding this pattern makes learning much easier. In House of Hundreds - II, recognizing number sequences helps kids predict numbers, solve problems faster, and build strong logical thinking.

What Are Number Patterns?

A number pattern is a sequence where numbers follow a rule. This rule can be:

• Adding a number
• Subtracting a number
• Skipping numbers

For example:

• 100, 110, 120, 130… (adding 10)
• 250, 260, 270… (increasing pattern)

Patterns help in identifying what comes next without counting one by one.

Types of Patterns Kids Learn

1. Counting by Ones

• 101, 102, 103, 104…
• Helps in basic number understanding

2. Counting by Tens

• 110, 120, 130…
• Each step increases by 10

3. Counting by Hundreds

• 100, 200, 300…
• Useful for understanding large jumps

Understanding Patterns with Table

This table makes it easy to see how numbers grow step by step.

Missing Number Patterns

Kids are often asked to fill missing numbers:

• 120, ___, 140 → Answer: 130
• 305, 306, ___ → Answer: 307

To solve this:

• Identify the pattern
• Apply the same rule

Why Patterns Are Important

Learning patterns helps in:

• Quick calculations
• Better number sense
• Preparing for advanced math topics

It also improves observation skills and confidence.

Fun Ways to Practice Patterns

• Skip counting games
• Writing number ladders
• Finding patterns in daily life (like steps, calendar dates)

Real-Life Example

Think about counting money:

• 10, 20, 30, 40…
  This is a pattern of adding 10 each time.

Or counting hundreds:

• 100, 200, 300…
  Used in budgeting or saving.

Quick Practice

Fill the missing numbers:

• 180, 190, ___, 210
• 400, ___, 600

Try solving them using pattern rules.

“Learning becomes easy when concepts are clear.”
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Predecessor and Successor Made Easy

Every number has a number before it and a number after it. These are called predecessor and successor. This concept is simple but very important in House of Hundreds - II.

What is a Predecessor?

A predecessor is the number that comes just before a given number.

Formula:

• Predecessor = Number - 1

Examples:

• Predecessor of 200 = 199
• Predecessor of 356 = 355

What is a Successor?

A successor is the number that comes just after a given number.

Formula:

• Successor = Number + 1

Examples:

• Successor of 200 = 201
• Successor of 489 = 490

Understanding with Table

This table shows how numbers move forward and backward.

Why This Concept is Important

It helps in:

• Understanding number order
• Solving number line questions
• Improving counting skills

It also builds a base for addition and subtraction.

Using Number Line

A number line makes this concept visual:

• If you move one step left → predecessor
• If you move one step right → successor

Example:
... 248, 249, 250, 251 ...

Here:

• 249 is predecessor of 250
• 251 is successor of 250

Common Mistakes to Avoid

• Adding instead of subtracting for predecessor
• Skipping numbers
• Confusing digit positions

Tip:
Always remember:

• Before = minus 1
• After = plus 1

Fun Practice Activity

Try these:

• Write successor of 678
• Write predecessor of 500
• Find both for 345

This makes the concept clear and easy.

Real-Life Connection

• Page numbers in books
• Queue positions
• Game levels

All follow predecessor and successor rules.

Comparing 3-Digit Numbers (Greater Than & Less Than)

Comparing numbers means finding out which number is bigger, smaller, or if they are equal. This is an important skill in House of Hundreds - II because it helps kids understand the value of numbers clearly.

Understanding Comparison Symbols

We use special symbols to compare numbers:

• means greater than

• < means less than
• = means equal to

Examples:

• 345 > 289
• 120 < 150
• 400 = 400

These symbols help in quick comparison.

Step-by-Step Method to Compare Numbers

To compare 3-digit numbers, follow this simple method:

Step 1: Compare Hundreds Place

• The number with the bigger hundreds digit is larger

Example:

• 456 vs 389 → 4 > 3 → 456 is greater

Step 2: Compare Tens Place (if hundreds are same)

• Check the tens digit

Example:

• 325 vs 345 → 2 < 4 → 325 is smaller

Step 3: Compare Ones Place (if both are same)

• Compare the last digit

Example:

• 278 vs 274 → 8 > 4 → 278 is greater

Comparison Table Example

This table makes comparison simple and clear.

Using Number Line for Comparison

A number line is another easy way:

• Numbers on the right are bigger
• Numbers on the left are smaller

Example:
... 145, 146, 147, 148 ...

Here:

• 148 is greater than 145
• 145 is less than 148

Real-Life Examples

• Comparing prices while shopping
• Checking scores in games
• Ranking students in class

These situations use comparison daily.

Common Mistakes Kids Make

• Comparing only the last digit
• Ignoring place value
• Getting confused with similar numbers

Example mistake:

• Thinking 209 > 310 because 9 > 0 (incorrect)

Quick Practice

• 345 ___ 354
• 600 ___ 599
• 278 ___ 278

Try filling the correct symbol.

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Practice Questions on House of Hundreds - II

Now that the concepts are clear, it is time to practice. These questions will help kids test their understanding and improve their skills step by step.

Fill in the Blanks

• 1 hundred + 5 tens + 3 ones = ___
• The number after 299 is ___
• The number before 400 is ___
• ___ comes between 145 and 147
• 6 hundreds = ___

Multiple Choice Questions

1. Which number is greater?
a) 245
b) 254
c) 240
d) 205

2. What is the successor of 399?
a) 398
b) 400
c) 401
d) 390

3. What is the predecessor of 500?
a) 501
b) 499
c) 400
d) 510

4. Which number has 3 hundreds, 2 tens, and 1 one?
a) 123
b) 321
c) 231
d) 312

Number Sequence Problems

Fill the missing numbers:

• 120, 130, ___, 150
• 405, ___, 407, 408
• 200, 300, ___, 500
• 678, 679, ___, 681

Word-Based Questions

• Riya has 245 marbles and Aman has 267 marbles. Who has more?
• A book has 300 pages. What is the page number before 300?
• There are 150 apples in a basket. 10 more are added. What is the new total?
• Find a number that has 4 hundreds, 0 tens, and 9 ones

Challenge Questions

• Write the largest 3-digit number
• Write the smallest 3-digit number
• Arrange in ascending order: 345, 123, 567
• Arrange in descending order: 210, 198, 305

Tips to Solve Practice Questions

• Break numbers into hundreds, tens, and ones
• Read questions carefully
• Use number line when confused
• Double-check answers