Easy guide to 2-digit vertical addition with regrouping for Grade 2

📚 What is 2-Digit Vertical Addition with Regrouping?

2-digit vertical addition with regrouping is a method used to add two 2-digit numbers when the sum of the digits in the ones place is greater than 9. Regrouping involves 'carrying' the tens digit from the ones place to the tens place. This makes it easier to organize and solve the addition problem.

📜 A Little Bit of History

The concept of addition has been around since the earliest days of counting. Vertical addition, as a structured method, became more formalized as written mathematics evolved. Regrouping, also known as 'carrying', is a clever trick that simplifies addition when dealing with larger numbers. This method has helped people throughout history, from ancient merchants keeping track of goods to modern engineers designing complex structures.

➗ Key Principles of 2-Digit Vertical Addition with Regrouping

• 📍 Write it Vertically: Align the numbers vertically, with the ones place and tens place lined up.
• ➕ Add the Ones Place First: Add the digits in the ones place column.
• Carry when the sum is greater than 9.
• ➡️ Regroup (Carry Over): If the sum is 10 or greater, write the ones digit of the sum in the ones place of the answer and 'carry' the tens digit to the tens place column.
• ➕ Add the Tens Place: Add the digits in the tens place column, including any carried-over digit.
• ✍️ Write the Sum: Write the total sum of the tens place below the line in the tens place column.

✏️ Step-by-Step Example: 37 + 25

Let's add 37 and 25 together!

1. Step 1: Write the numbers vertically:

   	3	7
   +	2	5

2. Step 2: Add the digits in the ones place: $7 + 5 = 12$.
3. Step 3: Since 12 is greater than 9, write down the '2' in the ones place and carry-over the '1' to the tens place:

   	13	7
   +	2	5
   		2

4. Step 4: Add the digits in the tens place, including the carried-over '1': $1 + 3 + 2 = 6$.
5. Step 5: Write down the '6' in the tens place:

   	13	7
   +	2	5
   	6	2

6. Answer: $37 + 25 = 62$

➕ More Real-World Examples

• 👛 Shopping: You have 28 cents, and you earn 15 more. How many cents do you have in total? (28 + 15 = 43 cents)
• 📚 Reading: You read 36 pages of a book on Monday and 27 pages on Tuesday. How many pages did you read in all? (36 + 27 = 63 pages)
• 🍪 Baking: You bake 45 cookies, and your friend bakes 35 cookies. How many cookies do you have altogether? (45 + 35 = 80 cookies)

💡 Tips and Tricks

• ✏️ Practice Makes Perfect: The more you practice, the easier it becomes.
• ➕ Start with Ones: Always begin adding from the ones place.
• 📝 Check Your Work: Double-check your calculations to avoid errors.

❓ Practice Quiz

Solve these addition problems:

1. $26 + 17 = ?$
2. $38 + 24 = ?$
3. $49 + 13 = ?$
4. $15 + 28 = ?$
5. $57 + 36 = ?$
6. $64 + 29 = ?$
7. $75 + 18 = ?$

✅ Answers to the Quiz

1. $26 + 17 = 43$
2. $38 + 24 = 62$
3. $49 + 13 = 62$
4. $15 + 28 = 43$
5. $57 + 36 = 93$
6. $64 + 29 = 93$
7. $75 + 18 = 93$

🎉 Conclusion

Congratulations! You've now learned how to do 2-digit vertical addition with regrouping. Keep practicing, and you'll become a math whiz in no time!