Chapter 5

Addition with Carrying

Crossing Tens

Sometimes when we add, the ones become too many. What happens then? Ten ones become one ten! Let's discover this together.

🔍
See the Carry
📦
Make Bundles
No Tricks
🎯
Understand Why
👧🏽
🐕

Riya's Collection! 📦

Riya is collecting stickers from different places.

She has 28 stickers in one box and 15 stickers in another.

When she puts all the ones together, something new happens...

Milo notices: "There are too many ones — they turn into a ten!"

🧠

Remember This?

Addition without carrying

First, let's add where the ones stay below 10. Nothing changes place!

32
First number
+
15
Second number
=
?
Sum
32
Tens
10
10
10
Ones
+
15
Tens
10
Ones
All the Ones Together
2 + 5 = 7 ones

💡 Notice: 2 ones + 5 ones = 7 ones. Seven is less than 10, so nothing special happens. The ones just stay as ones!

😮

When Ones Become Too Many

The discovery moment!

Now let's try 28 + 15. Watch what happens to the ones!

28
First number
+
15
Second number
Let's add the ones: 8 + 5
8 + 5 = 13 ones!

💡 Key Moment: When we add the ones and get more than 9, we have a problem! The ones place can only hold digits 0-9. What do we do with the extra ones?

Making a New Ten!

The carry moment

When we have 13 ones, 10 of them become 1 new ten!

Watch the Transformation!

We have 13 ones. Let's bundle 10 of them!

💡 Remember: "Ten ones make one ten." We're not moving a magic "1" — we're moving a real bundle of 10!

📦

Adding the Tens

Including the new ten

For 28 + 15, we now add the tens. Don't forget the new bundle!

28 + 15
Tens from 28
10
10
+
Tens from 15
10
+
New Ten! ✨
10

2 tens + 1 ten + 1 new ten = 4 tens

Remaining Ones
3 ones

28 + 15 = 43

4 tens and 3 ones

💡 See the answer: We can see the answer before writing it! 4 bundles of ten and 3 loose ones make 43.

✏️

Writing the Addition

The vertical format

Now let's write it down step by step. Watch the carried ten!

2
8
+
1
5
=
?
?
Step 1: Add the ones: 8 + 5 = 13

⚠️ Important: We carry a ten, not "a one"! The small digit we write above is worth 10, because it represents 1 bundle of ten.

🔧

Fix Milo's Mistakes!

Learn from errors

Milo made some mistakes. Can you spot them and fix them?

🐕
Mistake 1: Carrying the Wrong Digit

Milo tried 27 + 15. He carried the 3 instead of the 1!

❌ Milo's Answer
³27 + 15 = 72
🐕
Mistake 2: Forgetting the Carry

Milo tried 38 + 14. He forgot to add the carried ten!

❌ Milo's Answer
38 + 14 = 42
Forgot: 3 + 1 + 1 = 5 tens
🐕
Mistake 3: Adding the Carry Twice

Milo tried 46 + 17. He added the carry to both columns!

❌ Milo's Answer
46 + 17 = 74
Added 1 to ones AND tens

💡 Tip: When you carry, always ask yourself: "Did I add the new ten to the tens column, and only to the tens column?"

🎯

Practice Time!

Try some problems

0
CORRECT
0
STREAK 🔥

💡 Strategy: First add the ones. If the sum is 10 or more, remember to carry!

📝

Chapter Quiz

10 questions

1/10
🎓 Certificate of Achievement

This certifies that

Math Explorer

successfully completed

Chapter 5: Addition with Carrying

🌍

Real World Carrying

See it everywhere!

Carrying happens naturally in real life! Can you think of examples?

📦
Boxes & Items
17 items + 8 items = new box!
💰
Money
₹8 + ₹7 = Exchange for ₹10 note
🖍️
Crayons
10 crayons make a new pack!
🥚
Egg Cartons
10 eggs fill one carton row
📚
Book Stacks
10 books = 1 stack on the shelf
Minutes
60 minutes = 1 hour (different!)

Examples Found: 0/6

💡 Key Insight: Carrying is natural, not artificial! Whenever you collect 10 of something, it's natural to group them together into a bigger unit.

👨‍👩‍👧 Parent & Teacher Corner
CBSE Class 2 Mathematics
Chapter Reference
Addition (NCERT Math-Magic) — Two-digit addition with regrouping
Learning Outcome
Add two 2-digit numbers with regrouping (carrying) when sum of ones exceeds 9
Cambridge Primary Stage 2
Framework Reference
Number (N6–N7) — Use regrouping strategies to add numbers
Learning Outcome
Understand and apply regrouping when adding two-digit numbers
ICSE Class 2 Mathematics
Syllabus Reference
Addition — Addition of two-digit numbers with carrying
Learning Outcome
Perform addition of two-digit numbers involving carrying/regrouping
🎯 Why This Approach?
Carrying must be seen, not memorized.

If a child says "carry the 1" without understanding that it represents a bundle of 10, they're performing magic, not math. This chapter ensures children see the transformation — 10 ones physically becoming 1 ten — before using any notation.

The goal: When a child writes a small "1" above the tens column, they should mentally picture a bundle of 10 items moving from one place to another.
⚠️ Language to Avoid
"Carry the 1" — This implies moving an abstract digit, not a quantity
"Put 1 on top" — No explanation of what that 1 means
"That's just the rule" — Carrying is a consequence, not a rule
Better: "Ten ones make one ten" / "Move the bundle" / "Make a new ten"
✅ Signs Your Child Is Ready to Move On
Can explain why carrying happens (too many ones)
Correctly identifies when carrying is needed vs. not needed
Can describe the carry as "ten ones becoming one ten"
Makes fewer than 2 errors in 10 problems
Can spot and fix common mistakes (like forgetting to add the carry)
What This Chapter Is NOT
❌ Not shortcut rules
❌ Not mental math tricks
❌ Not exam drilling

This chapter protects the child's number sense. Speed comes later, understanding comes first.
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