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Place Value

Chapter 2: Tens and Ones

Where a digit sits matters! The same digit can mean different things. Let's learn to build and break numbers!

🏗️
Build
🔨
Break
📍
Position
0️⃣
Zero
👧🏽
🐕

Riya Organizes! 📦

Riya is putting supplies into boxes of 10 and keeping the extras loose.

"Wait!" says Milo. "In the number 34, what does the 3 mean?"

Riya thinks... "It means 3 boxes — that's 30!"

"Where a number sits changes what it means!"

🔙

Quick Recall

Remember bundles and ones?

Tap each number to see its bundles and ones!

Bundles of 10
Loose Ones
00
zero

💡 From Chapter 1: We learned that 10 ones make 1 bundle of ten. Now let's give these places names!

📍

Tens Place & Ones Place

Every position has a name!

In a two-digit number, the left digit is in the tens place.
The right digit is in the ones place.

TENS PLACE
3
ONES PLACE
4
34
thirty-four
3 tens and 4 ones

💡 Key Idea: The tens place tells us "how many groups of ten." The ones place tells us "how many extras."

🏗️

Build the Number

Drag to build!

Build this number:
46

Tap bundles and ones to add them to the right place!

TENS (0)
ONES (0)
Add Tens
Add Ones

💡 Think: For 46, you need 4 in the tens place and 6 in the ones place!

🔨

Break the Number

Split into tens and ones!

Every number can be broken into tens and ones. How many of each?

58
→
?
tens
?
ones
Tens:
Ones:

💡 Remember: The left digit tells you tens, the right digit tells you ones!

📖

Saying It Out

Express numbers in words!

We can say what a number is made of!

34
30 and 4

"Thirty-four is thirty and four"

💡 Say it: Breaking a number into its tens-value and ones-value helps us understand it better!

🔍

Same Digit, Different Value!

Position changes everything!

Look at the highlighted digit. What is its value in each number?

Tap a number to see the value of the highlighted digit!

⚠️ Important: The digit 2 in 25 means 20 (two tens), but in 52 it means just 2 (two ones). Position matters!

0️⃣

Numbers with Zero

Zero is a placeholder!

When there are no ones, we write 0 in the ones place. Zero holds the place!

TENS
4
ONES
∅
0
40
forty

40 = 4 tens + 0 ones
NOT the same as just "4"!

💡 Key Idea: 40 ≠ 4! The zero shows there are no ones, but we still need it to show it's four TENS, not four ones.

🎯

Practice Zone

Test your place value skills!

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Correct
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Total
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🔥 Streak
📝

Chapter Quiz

10 questions

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🎓 Certificate of Achievement
📍

This certifies that

Math Explorer

successfully completed

Chapter 2: Place Value — Tens and Ones

🌍

Real World Place Value

See it everywhere!

Place value is all around us! Look for these examples.

💵
Money
₹10 notes (tens) and ₹1 coins (ones)
🖍️
Crayon Packs
Packs of 10 crayons + loose ones
🥚
Egg Cartons
Trays hold 10 eggs each
📚
Book Pages
Page 34 = 3 tens + 4 ones

🏠 Try at home: Find ₹47 using ₹10 notes and ₹1 coins. How many of each do you need?

❓

Questions & Answers

Tens and ones

What is place value?

Place value means a digit's spot decides its worth. In 34, the 3 is not three. It is three tens, which is thirty.

Why does the same digit mean different amounts?

Because of where it sits. In 44, the first 4 means forty and the second 4 means four. The place gives the digit its size.

How do I break a number apart?

Say it as tens and ones. 68 is 6 tens and 8 ones. That is 60 plus 8. Breaking apart makes big numbers easy.

What does the 0 do in 40?

It holds the ones place open. It says there are no loose ones. Without the 0, the 4 would slide over and mean four.

Which place is bigger, tens or ones?

Tens. One ten is worth ten ones. That is why we always read the tens digit first.

How do I know which number is bigger?

Look at the tens first. More tens wins. Only if the tens match do you compare the ones.

Can I write 7 tens and 12 ones?

You can build it, but it is untidy. Ten of those ones make another ten. So it becomes 8 tens and 2 ones, which is 82.

Why does place value matter later?

Every bigger idea sits on it. Adding, subtracting, hundreds, thousands and decimals all use the same rule. Places grow ten times each step.

👨‍👩‍👧 Parent / Teacher Corner
▼
CBSE Class 2 • Place Value
What This Chapter Covers
Understand place value in two-digit numbers. Identify tens and ones places. Expand numbers into tens and ones. Recognize zero as a placeholder.
✓Name the tens and ones places
✓Build and break two-digit numbers
✓Understand expanded form verbally
✓Recognize that position determines value
Cambridge Stage 2 • Place Value
Coverage
Understand place value in two-digit numbers. Partition numbers into tens and ones. Use place value for comparison and ordering.
✓Partition two-digit numbers
✓Understand value vs digit
✓Use structured materials
ICSE Class 2 • Place Value
Coverage
Place value up to 100. Expanded form of numbers. Face value vs place value distinction.
✓Expanded form understanding
✓Place value vs face value
✓Number composition and decomposition
⚠️ Common Mistakes to Watch For
Reading digits separately: Saying "three-four" instead of "thirty-four" for 34.
Confusing value and digit: Thinking 3 in 34 means "three" instead of "thirty."
Ignoring zero: Thinking 40 = 4 because "zero means nothing."
🎯 Why This Matters

Place value is the foundation for addition with carrying and subtraction with borrowing. A child who truly understands place value will find arithmetic much easier later.

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