What is Addition With Carrying? | Simple Explanation for Class 2

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What is Addition With Carrying (Regrouping)?

Grade Level:

Class 2

Maths, Computing

Definition

What is it?

Addition with carrying (also called regrouping) is a way to add numbers where the sum of digits in one place value (like the Ones place) is 10 or more. When this happens, we 'carry over' the extra tens to the next higher place value (the Tens place) to add them there.

Simple Example

Quick Example

Imagine you have 15 ladoos and your friend gives you 8 more ladoos. To find the total, you add 15 + 8. When you add the Ones digits (5 + 8 = 13), you have 1 'ten' and 3 'ones'. You keep the 3 ones and 'carry over' the 1 ten to add it with the other tens.

Worked Example

Step-by-Step

Let's add 27 + 15:
1. Write the numbers one below the other, aligning the Ones and Tens places:
T O
2 7
+ 1 5
-----
2. Add the digits in the Ones place: 7 + 5 = 12.
3. Since 12 is 1 ten and 2 ones, write '2' in the Ones place of the answer and 'carry over' the '1' (which is 1 ten) to the Tens place.
T O
¹2 7
+ 1 5
-----
2
4. Now, add the digits in the Tens place, including the '1' you carried over: 1 (carried over) + 2 + 1 = 4.
5. Write '4' in the Tens place of the answer.
T O
¹2 7
+ 1 5
-----
4 2
So, 27 + 15 = 42.

Why It Matters

Understanding carrying is fundamental for all arithmetic and is crucial for subjects like computing, where numbers are manipulated. This skill is used by software engineers to build calculators and by data analysts to sum up large datasets for important decisions.

Common Mistakes

MISTAKE: Not carrying over the 'ten' to the next place value. For example, in 27 + 5, writing 12 in the Ones place (27 + 5 = 212). | CORRECTION: Always remember to carry over the 'ten' part of the sum to the next column and add it there.

MISTAKE: Forgetting to add the carried-over digit. For example, in 27 + 15, adding 2+1=3 in the Tens place and getting 32, instead of 42. | CORRECTION: Make a small note or circle the carried-over digit to remind yourself to include it in the sum for that column.

MISTAKE: Carrying over the wrong digit. For example, if 7+5=12, carrying over '2' instead of '1'. | CORRECTION: The digit in the Ones place stays, and the digit in the Tens place (which is the 'carry') goes to the next column.

Practice Questions

Try It Yourself

QUESTION: Add 34 + 18 | ANSWER: 52

QUESTION: A shop sold 49 ice creams on Monday and 26 ice creams on Tuesday. How many ice creams were sold in total? | ANSWER: 75 ice creams

QUESTION: Calculate 58 + 37 + 12. (Hint: Add two numbers first, then add the third to that sum) | ANSWER: 107

MCQ

Quick Quiz

What is the sum of 65 + 29?

814

The Correct Answer Is:

When adding 65 + 29, first add the Ones digits: 5 + 9 = 14. Write down 4 and carry over 1. Then add the Tens digits: 1 (carried over) + 6 + 2 = 9. So the answer is 94.

Real World Connection

In the Real World

When you pay for groceries at the local kirana store, the shopkeeper might add the prices of different items using mental math or a calculator, often using carrying. Also, when an app like Swiggy calculates your total bill with multiple items, it uses addition with carrying behind the scenes to give you the correct amount.

Key Vocabulary

Key Terms

CARRYING: Moving a 'ten' or 'hundred' from one place value column to the next higher one during addition. | REGROUPING: Another term for carrying, meaning to group units differently (e.g., 10 ones as 1 ten). | PLACE VALUE: The value of a digit based on its position in a number (e.g., in 23, '2' is in the tens place). | SUM: The result of adding two or more numbers.

What's Next

What to Learn Next

Now that you understand addition with carrying, you're ready to learn about addition with larger numbers (like three-digit or four-digit numbers) and then move on to subtraction with borrowing, which uses a similar concept in reverse. Keep practicing!