What is Adding Two-Digit Numbers With Carrying?

S1-SA1-0044

Grade Level:

Class 2

Maths, Computing, AI

Definition

What is it?

Adding two-digit numbers with carrying is when the sum of the digits in a place value column (like the Ones place) is 10 or more. You then 'carry over' the tens part of that sum to the next higher place value column (the Tens place) to add it there.

Simple Example

Quick Example

Imagine you have 25 laddoos and your friend gives you 18 more. To find out how many laddoos you have in total, you would add 25 and 18. This involves carrying over because 5 + 8 is more than 9.

Worked Example

Step-by-Step

Let's add 37 + 26:
1. Write the numbers one below the other, aligning the Ones place and the Tens place.
37
+ 26
----
2. Start adding from the Ones place: 7 + 6 = 13.
3. Since 13 is 1 Ten and 3 Ones, write down '3' in the Ones place of the answer and 'carry over' the '1' (which is 1 Ten) to the Tens place column.
¹
37
+ 26
----
3
4. Now, add the digits in the Tens place, including the carried-over '1': 1 + 3 + 2 = 6.
5. Write down '6' in the Tens place of the answer.
¹
37
+ 26
----
63
6. So, 37 + 26 = 63.

Why It Matters

Understanding carrying is fundamental to all arithmetic and is crucial for subjects like Computing and AI, where algorithms perform calculations. It's used by financial analysts to calculate budgets, by engineers to design structures, and even by game developers to score points.

Common Mistakes

MISTAKE: Forgetting to add the carried-over digit to the next column. | CORRECTION: Always remember to include the carried-over number when adding the digits in the next place value column.

MISTAKE: Carrying over the wrong digit (e.g., carrying over 13 instead of just the '1' from 13). | CORRECTION: Only the 'tens' part of the sum (the left digit) is carried over to the next column, while the 'ones' part (the right digit) stays in the current column.

MISTAKE: Adding from left to right (Tens place first) instead of right to left (Ones place first). | CORRECTION: Always start adding from the rightmost column (Ones place) and move towards the left (Tens place), as carrying always goes to the next higher place value.

Practice Questions

Try It Yourself

QUESTION: Add 49 + 15 | ANSWER: 64

QUESTION: A bus had 38 passengers. At the next stop, 27 more passengers got in. How many passengers are on the bus now? | ANSWER: 65 passengers

QUESTION: Riya bought two books. One cost Rs 56 and the other cost Rs 39. How much did she spend in total? | ANSWER: Rs 95

MCQ

Quick Quiz

What is the sum of 63 + 29?

The Correct Answer Is:

When you add 3 + 9 in the Ones place, you get 12. Write down 2 and carry over 1. Then add 1 + 6 + 2 in the Tens place, which gives 9. So, the total is 92.

Real World Connection

In the Real World

When a shopkeeper calculates the total bill for two items, say a packet of biscuits for Rs 45 and a cold drink for Rs 38, they are using addition with carrying. Similarly, when you check your mobile data usage, adding up your daily consumption often involves carrying.

Key Vocabulary

Key Terms

CARRY OVER: To move the tens part of a sum to the next higher place value column | PLACE VALUE: The value of a digit based on its position in a number (e.g., Ones, Tens) | SUM: The result of adding two or more numbers | ONES PLACE: The rightmost digit in a whole number, representing single units | TENS PLACE: The second digit from the right in a whole number, representing groups of ten

What's Next

What to Learn Next

Once you've mastered adding two-digit numbers with carrying, you can move on to 'Adding Three-Digit Numbers With Carrying'. The concept of carrying remains the same, but you'll apply it to more place values, making your calculation skills even stronger!