Addition word problem: A math problem written in sentence form that asks you to combine two or more groups to find the total. In class 4, we work with numbers up to 100,000.
- Read the problem carefully and understand what is asked
- Identify the large numbers in the problem (45,678 and 38,947)
- Look for key words that mean "add" (total, altogether, combined, in all)
- Set up the addition with proper place value alignment
- Add starting from the ones place, regrouping when necessary
- Check your answer by estimating
- Express the answer with proper units (people)
Northern area: 45,678 people, Southern area: 38,947 people
"Total population" means we need to add the numbers together.
45,678
+ 38,947
--------
8 + 7 = 15. Write 5, carry 1.
7 + 4 + 1(carry) = 12. Write 2, carry 1.
6 + 9 + 1(carry) = 16. Write 6, carry 1.
5 + 8 + 1(carry) = 14. Write 4, carry 1.
4 + 3 + 1(carry) = 8
45,678 + 38,947 = 84,625
84,625 people
• Key Words: "total population" means addition
• Place Value: Align numbers by place value (ones under ones, tens under tens, etc.)
• Regrouping: When a sum is 10 or more, carry to the next place value
• Large Numbers: Work from right to left, carrying carefully
Total income: The final amount when we add earnings from different periods together. In class 4, we work with 5-6 digit numbers and Indian currency notation.
We need to find the total annual income by adding two 6-digit numbers.
First half: Rs. 1,24,567, Second half: Rs. 98,735
"Total income" indicates we need to add the numbers.
1,24,567
+ 98,735
----------
7 + 5 = 12. Write 2, carry 1.
6 + 3 + 1(carry) = 10. Write 0, carry 1.
5 + 7 + 1(carry) = 13. Write 3, carry 1.
4 + 8 + 1(carry) = 13. Write 3, carry 1.
2 + 9 + 1(carry) = 12. Write 2, carry 1.
1 + 0 + 1(carry) = 2
1,24,567 + 98,735 = 2,23,302 ✓
Rs. 2,23,302
• Indian Currency Notation: Use commas appropriately (lakhs, thousands)
• Place Value Alignment: Always align numbers by their place values
• Carrying Rule: When the sum in any place is 10 or more, carry to the next higher place
• Verification: Always check that the answer makes sense
Total: A key word that means to add and find the combined amount.
Room A: 3,45,672 boxes, Room B: 2,78,945 boxes, Find: Total boxes
Storage room A: 3,45,672 boxes, Storage room B: 2,78,945 boxes
"Total" means we add the two numbers.
3,45,672
+ 2,78,945
----------
2 + 5 = 7. Write 7.
7 + 4 = 11. Write 1, carry 1.
6 + 9 + 1(carry) = 16. Write 6, carry 1.
5 + 8 + 1(carry) = 14. Write 4, carry 1.
4 + 7 + 1(carry) = 12. Write 2, carry 1.
3 + 2 + 1(carry) = 6
3,45,672 + 2,78,945 = 6,24,617
6,24,617 boxes
• Action Words: "total", "in all", "combined" indicate addition
• Regrouping: When sum reaches 10 or more, carry to next place value
• Large Number Place Values: Understand lakhs, ten-thousands, thousands, hundreds, tens, ones
• Equation Writing: Convert word problem to number sentence
Addition: Combining two or more groups to find the total amount
Word Problem: A math problem written in sentence form
Key Words: Words that tell us which operation to use
Regrouping: When the sum in a place value is 10 or more, we carry to the next higher place
Place Value: The value of a digit based on its position (lakhs, ten-thousands, thousands, hundreds, tens, ones)
Indian Number System: Uses commas after every two digits from right (starting after hundreds): 1,24,567
- Read: Carefully read the entire problem
- Find: Locate the large numbers in the problem
- Look: Find key words that indicate addition
- Estimate: Round numbers to get a rough idea of the answer
- Align: Set up column addition with proper place value alignment
- Add: Add starting from the ones place, regrouping when necessary
- Check: Compare with your estimate and verify
- Answer: Write the answer with proper units
• Column Addition: Write numbers vertically, align by place value
• Regrouping: When sum ≥ 10, carry to next place value
• Estimation: Round numbers to check reasonableness of answer
• Checking: Verify by re-adding or using inverse operation
• Place Value Understanding: Know the value of each digit position
• Indian Number System: Proper comma placement after hundreds, then every two digits
In total: A phrase that means to add the distances from both months to find the combined distance.
This is an addition word problem with 6-digit numbers requiring regrouping.
First month: 1,57,894 km, Second month: 2,34,678 km
"In total" means we add the distances from both months.
1,57,894
+ 2,34,678
----------
4 + 8 = 12. Write 2, carry 1.
9 + 7 + 1(carry) = 17. Write 7, carry 1.
8 + 6 + 1(carry) = 15. Write 5, carry 1.
7 + 4 + 1(carry) = 12. Write 2, carry 1.
5 + 3 + 1(carry) = 9
1 + 2 = 3
1,57,894 + 2,34,678 = 3,92,572
3,92,572 kilometers
• Key Word Recognition: "In total" signals addition of both amounts
• Regrouping Process: Always carry when sum reaches 10 or more
• Units: Include appropriate units (kilometers) in the final answer
• Complete Answer: Always answer the specific question asked
Total sales: A phrase that often means to find the combined amount of sales from multiple periods.
First quarter: Rs. 2,84,563, Second quarter: Rs. 3,17,892, Find: Total sales for first half
Period 1: Rs. 2,84,563, Period 2: Rs. 3,17,892, Question: Total sales for first half?
"Total sales" indicates addition is needed.
2,84,563
+ 3,17,892
----------
3 + 2 = 5. Write 5.
6 + 9 = 15. Write 5, carry 1.
5 + 8 + 1(carry) = 14. Write 4, carry 1.
4 + 7 + 1(carry) = 12. Write 2, carry 1.
8 + 1 + 1(carry) = 10. Write 0, carry 1.
2 + 3 + 1(carry) = 6
2,84,563 + 3,17,892 = 6,02,455, which makes sense in context.
Rs. 6,02,455
• Context Understanding: "Total sales" refers to the combined amount from both quarters
• Money Problems: Treat rupees as regular numbers for addition
• Business Context: Understand terms like "quarter", "sales", "periods"
• Logical Verification: Check that the answer fits the situation
Addition: The mathematical operation of combining two or more numbers to find their total or sum.
Word Problem: A mathematical problem presented in a real-world context using words instead of symbols.
Key Words: Words that indicate which mathematical operation to use (e.g., total, altogether, in all).
Regrouping: The process of carrying when the sum in a place value is 10 or more.
Place Value: The value of a digit based on its position in a number (lakhs, ten-thousands, thousands, hundreds, tens, ones).
Indian Number System: Uses commas after hundreds place and then every two digits (1,24,567).
- Read Carefully: Understand the entire problem situation
- Identify Numbers: Find the large numbers mentioned in the problem
- Look for Clues: Find key words that indicate addition
- Estimate: Round numbers to get a rough idea of the answer
- Set Up: Write numbers vertically with proper place value alignment
- Solve: Add starting from ones place, regrouping when necessary
- Check: Verify that the answer makes sense in the context
- Answer: Write a complete sentence that answers the question
• Addition Indicators: total, altogether, combined, sum, in all, increased by
• Joining Actions: got, received, found, bought, collected, earned
• Total Questions: how many, how much, what is the total, what is the sum
• Time Phrases: in all, in total, altogether, combined
• Business Phrases: total sales, revenue in total, expenses combined
• Distance Phrases: total distance, combined length, total travel
Class 4 Addition Problem Types
- Adding To: Start with some, get more
- Putting Together: Two groups combined
- Comparing: How many more?
- Read carefully
- Find numbers & key words
- Estimate
- Set up column addition
- Solve with regrouping
- Check & answer
2,45,678
+1,78,945
--------
4,24,623