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 3, we work with numbers up to 1000.
- Read the problem carefully and understand what is asked
- Identify the numbers in the problem (145 and 278)
- Look for key words that mean "add" (altogether, total, in all, combined)
- Set up the addition with proper place value alignment
- Add starting from the ones place, regrouping when necessary
- Check your answer by estimating
Monday: 145 apples, Tuesday: 278 apples
"Altogether" means we need to add the numbers together.
145
+ 278
-----
5 + 8 = 13. Write 3, carry 1.
4 + 7 + 1(carry) = 12. Write 2, carry 1.
1 + 2 + 1(carry) = 4
145 + 278 = 423
The fruit seller sold 423 apples altogether.
• Key Words: "altogether" means addition
• Place Value: Align numbers by place value (ones under ones, tens under tens)
• Regrouping: When a sum is 10 or more, carry to the next place value
Total: The final amount when we add groups together. In class 3, we work with 3-digit numbers.
We need to find the total number of books by adding fiction and non-fiction books.
Fiction books: 342, Non-fiction books: 269
"Total" indicates we need to add the numbers.
342
+ 269
-----
2 + 9 = 11. Write 1, carry 1.
4 + 6 + 1(carry) = 11. Write 1, carry 1.
3 + 2 + 1(carry) = 6
342 + 269 = 611 ✓
There are 611 books in total.
• 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
Altogether: A key word that means to add and find the total amount.
Morning: 435 students, Afternoon: 387 students, Find: Total students
Session 1: 435 students, Session 2: 387 students
"Altogether" means we add the two numbers.
435
+ 387
-----
5 + 7 = 12. Write 2, carry 1.
3 + 8 + 1(carry) = 12. Write 2, carry 1.
4 + 3 + 1(carry) = 8
435 + 387 = 822
There are 822 students in the school altogether.
• Action Words: "altogether", "total", "in all" indicate addition
• Regrouping: When sum reaches 10 or more, carry to next place value
• 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 (hundreds, tens, ones)
- Read: Carefully read the entire problem
- Find: Locate the 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
• 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
In two days: A phrase that means to add the amounts from both days to find the total.
This is an addition word problem with 3-digit numbers requiring regrouping.
Monday: 564 packages, Tuesday: 379 packages
"In two days" means we add the packages from both days.
564
+ 379
-----
4 + 9 = 13. Write 3, carry 1.
6 + 7 + 1(carry) = 14. Write 4, carry 1.
5 + 3 + 1(carry) = 9
564 + 379 = 943
The truck carried 943 packages in two days.
• Key Word Recognition: "In two days" signals addition of both amounts
• Regrouping Process: Always carry when sum reaches 10 or more
• Complete Answer: Always answer the specific question asked
In all: A phrase that often means to find the total amount spent.
Groceries: Rs. 285, Clothes: Rs. 467, Find: Total spent
Amount 1: Rs. 285, Amount 2: Rs. 467, Question: Total spent in all?
"In all" indicates addition is needed.
285
+ 467
-----
5 + 7 = 12. Write 2, carry 1.
8 + 6 + 1(carry) = 15. Write 5, carry 1.
2 + 4 + 1(carry) = 7
285 + 467 = 752, which makes sense in context.
Mrs. Sharma spent Rs. 752 in all.
• Context Understanding: "In all" refers to the total amount spent
• Money Problems: Treat rupees as regular numbers for addition
• 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 (hundreds, tens, ones).
- Read Carefully: Understand the entire problem situation
- Identify Numbers: Find the 3-digit 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
• Money Phrases: spent in all, total cost, altogether
Class 3 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
245
+178
---
423