Addition Without Carrying
Addition without carrying is the simplest type of 2-digit addition. Here, the ones digits add up to 9 or less, so there is nothing to carry to the tens place.
This is the first step children learn before moving to addition with carrying. It builds confidence with the column method.
What is Addition Without Carrying - Class 2 Maths (Addition (Grade 2))?
Addition without carrying (also called addition without regrouping) happens when the sum of the ones digits is less than 10.
Example: 32 + 45
| Tens | Ones | |
|---|---|---|
| 3 | 2 | |
| + | 4 | 5 |
| 7 | 7 |
Ones: 2 + 5 = 7 (less than 10, no carry). Tens: 3 + 4 = 7. Answer: 77.
Solved Examples
Example 1: Example 1: Add 21 + 34
Question: Add 21 + 34.
Think:
- Ones: 1 + 4 = 5 (no carry)
- Tens: 2 + 3 = 5
Answer: 21 + 34 = 55.
Example 2: Example 2: Add 43 + 26
Question: Add 43 + 26.
Think:
- Ones: 3 + 6 = 9 (still no carry, since 9 < 10)
- Tens: 4 + 2 = 6
Answer: 43 + 26 = 69.
Example 3: Example 3: Add 50 + 30
Question: Find 50 + 30.
Think:
- Ones: 0 + 0 = 0
- Tens: 5 + 3 = 8
Answer: 50 + 30 = 80.
Example 4: Example 4: Meera’s chapatis
Question: Meera’s mother made 24 chapatis for lunch and 15 chapatis for dinner. How many chapatis in all?
Think:
- We ADD: 24 + 15
- Ones: 4 + 5 = 9 (no carry)
- Tens: 2 + 1 = 3
Answer: Meera’s mother made 39 chapatis in all.
Example 5: Example 5: Add 61 + 28
Question: Add 61 + 28.
Think:
- Ones: 1 + 8 = 9 (no carry)
- Tens: 6 + 2 = 8
Answer: 61 + 28 = 89.
Example 6: Example 6: Add 14 + 72
Question: Find the sum of 14 and 72.
Think:
- Ones: 4 + 2 = 6
- Tens: 1 + 7 = 8
Answer: 14 + 72 = 86.
Example 7: Example 7: Kavi’s marbles
Question: Kavi has 33 red marbles and 44 green marbles. How many marbles does he have?
Think:
- 33 + 44
- Ones: 3 + 4 = 7
- Tens: 3 + 4 = 7
Answer: Kavi has 77 marbles.
Key Points to Remember
- In addition without carrying, the ones digits add up to 9 or less.
- No digit needs to be moved from the ones column to the tens column.
- This is also called addition without regrouping.
- Always add ones first, then tens.
- The answer is always a 2-digit number when both numbers are small.
Practice Problems
- Add 35 + 42.
- Find the sum of 51 and 23.
- Ria has 16 red flowers and 23 yellow flowers. How many flowers in all?
- Add 70 + 20.
- What is 44 + 33?
- Arjun read 31 pages on Monday and 18 pages on Tuesday. How many pages did he read?
Frequently Asked Questions
Q1. What is addition without carrying?
It is adding 2-digit numbers where the ones digits add up to less than 10. There is no need to regroup or carry any digit to the tens column.
Q2. How do I know if I need to carry?
Add the ones digits first. If the sum is 9 or less, no carry is needed. If the sum is 10 or more, you must carry.
Q3. Is 43 + 26 without carry?
Yes. The ones digits are 3 and 6. Their sum is 9, which is less than 10. So no carrying is needed.
Q4. Is 43 + 27 without carry?
No. The ones digits are 3 and 7. Their sum is 10, which means you need to carry 1 to the tens column.
Q5. Why should I learn addition without carry first?
It teaches you the basic column method of adding tens and ones separately. Once you are comfortable with this, adding with carry becomes much easier.
Q6. Can I add in my head without writing columns?
Yes, for simple problems. For example, 20 + 30 = 50 can be done mentally. But for harder problems, writing in columns helps avoid mistakes.
