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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!

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Build
🔨
Break
📍
Position
0️⃣
Zero
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🐕

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!"

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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!

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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."

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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!

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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!

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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!

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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.

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Practice Zone

Test your place value skills!

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Correct
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Total
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🔥 Streak
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Chapter Quiz

10 questions

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🎓 Certificate of Achievement
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This certifies that

Math Explorer

successfully completed

Chapter 2: Place Value — Tens and Ones

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Real World Place Value

See it everywhere!

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

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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?

👨‍👩‍👧 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.

© Pawan Nayar for Beyond Dictionary

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