Operations on Numbers - Addition (up to five digit numbers) with carrying, word problems
Introduction
Addition of five-digit numbers requires a clear understanding of place value and the "carry over" method when a column total exceeds 9.
Explanation Step by Step
Always start adding from the Units place. If the sum is 10 or more, carry the tens digit to the next column on the left.
| Place | TTh | Th | H | T | U |
|---|---|---|---|---|---|
| Carry | 1 | 1 | 1 | 1 | |
| Num 1 | 3 | 4 | 5 | 6 | 7 |
| Num 2 | + 2 | 7 | 6 | 5 | 4 |
| Total | 6 | 2 | 2 | 2 | 1 |
Word Problems
Look for keywords like 'total', 'altogether', or 'sum' to identify that addition is required.
Examples
Example 1: 12345 + 6789
Step 1: Align digits by place value. Add 0 to empty TTh place.
Step 2: Add from right to left, carrying over as needed.
Final Sum: 19134
Tricks and Shortcuts
To speed up, practice adding pairs that make 10 (e.g., 7+3, 6+4). Use 0 as a placeholder to keep columns straight.
Common Mistakes
Forgetting the carry-over digit. Misaligning columns when one number has fewer digits.
Practice Questions
Easy Questions
- 23451 + 11234 = ?
- 50000 + 40000 = ?
- 34210 + 12345 = ?
Medium Questions
- Add 45678 and 34322 using vertical alignment.
- A farmer produced 23450 kg of wheat and 12340 kg of rice. What is the total production?
- Solve 56781 + 9876 with proper carrying.
Hard Questions
- Find the sum of the largest 5-digit number and the smallest 4-digit number.
- A store earned 45900 in month 1 and 38450 in month 2. Calculate the total.
- If 23456 + X = 67890, find X using the concept of total.
Revision Summary
Mastering carry-over addition is essential. Always double-check your carried digits to ensure accuracy.
A school had 34567 students. Next year 23456 students were admitted. How many students in total?
A
58023
B
58024
C
58025
D
58026