Addition Word Problems for Grade 3: Step-by-Step Solutions

Master addition word problems: problem identification, step-by-step solutions, and key strategies through these 5 detailed exercises.

Addition Word Problems: Solutions 1 to 3
1 Fruit Collection Problem
Exercise 1
Sarah picked 24 apples from her tree. Her brother picked 18 more apples. How many apples did they pick altogether?
Definition:

Addition word problem: A problem expressed in words that requires adding two or more quantities together to find a total amount.

Solution Method:
  1. Read carefully: Identify the quantities mentioned
  2. Find keywords: Look for words like "altogether", "total", "more", "combined", "sum"
  3. Set up equation: Write the addition problem
  4. Solve: Calculate the sum
  5. Check: Verify your answer makes sense
Quantities
Sarah: 24 apples
Brother: 18 apples
Operation
24 + 18
Result
42 apples
Step 1: Identify the quantities

Sarah picked 24 apples, Brother picked 18 apples

Step 2: Find the keyword

"Altogether" indicates addition

Step 3: Set up the equation

24 + 18 = ?

Step 4: Solve using column addition

24
+ 18
----
42

4 ones + 8 ones = 12 ones = 2 ones and 1 ten
1 ten + 2 tens + 1 ten = 4 tens

Step 5: State the answer

They picked 42 apples altogether

24 + 18 = 42 apples
Final answer:

Sarah and her brother picked 42 apples altogether.

Applied rules:

• Addition: Combining quantities to find a total

• Regrouping: When ones exceed 9, carry over to tens place

• Keywords: "Altogether" signals addition operation

2 Book Counting Problem
Exercise 2
Emma has 37 books in her bedroom. She has 26 more books in the living room. How many books does Emma have in total?
Definition:

Total: The complete amount found by adding all parts together.

Quantities
Bedroom: 37 books
Living room: 26 books
Operation
37 + 26
Result
63 books
Step 1: Identify the quantities

Emma has 37 books in bedroom and 26 books in living room

Step 2: Find the keyword

"Total" indicates addition

Step 3: Set up the equation

37 + 26 = ?

Step 4: Solve using column addition

37
+ 26
----
63

7 ones + 6 ones = 13 ones = 3 ones and 1 ten
1 ten + 3 tens + 2 tens = 6 tens

Step 5: State the answer

Emma has 63 books in total

37 + 26 = 63 books
Final answer:

Emma has 63 books in total.

Applied rules:

• Addition: Combining quantities to find a total

• Regrouping: When ones exceed 9, carry over to tens place

• Keywords: "Total" signals addition operation

3 Fish Counting Problem
Exercise 3
In the pet store, there are 45 goldfish in one tank and 38 goldfish in another tank. How many goldfish are there altogether?
Definition:

Altogether: The combined total of all items being counted.

Quantities
Tank 1: 45 fish
Tank 2: 38 fish
Operation
45 + 38
Result
83 fish
Step 1: Identify the quantities

Tank 1 has 45 goldfish, Tank 2 has 38 goldfish

Step 2: Find the keyword

"Altogether" indicates addition

Step 3: Set up the equation

45 + 38 = ?

Step 4: Solve using column addition

45
+ 38
----
83

5 ones + 8 ones = 13 ones = 3 ones and 1 ten
1 ten + 4 tens + 3 tens = 8 tens

Step 5: State the answer

There are 83 goldfish altogether

45 + 38 = 83 fish
Final answer:

There are 83 goldfish altogether.

Applied rules:

• Addition: Combining quantities to find a total

• Regrouping: When ones exceed 9, carry over to tens place

• Keywords: "Altogether" signals addition operation

Key Concepts, Methods, and Strategies
Quantity 1 + Quantity 2 = Total
Addition Word Problem Formula
Strategy 1
Read → Identify → Plan → Solve → Check
Problem-Solving Steps
Strategy 2
Keywords Indicate Operation
Look for "total", "altogether", "sum", "more"
Strategy 3
Column Addition
Align digits by place value
Key Definitions:

Addition: The mathematical operation of combining two or more numbers to get a total.

Word Problem: A mathematical problem expressed in words rather than symbols.

Regrouping: Carrying over when the sum in a column exceeds 9.

Problem-Solving Method:
  1. Read: Carefully read the entire problem
  2. Identify: Find the important numbers and keywords
  3. Plan: Decide what operation to use
  4. Solve: Perform the calculation
  5. Check: Verify your answer makes sense
Tip 1: Circle or underline important numbers in the problem.
Tip 2: Draw pictures or use manipulatives to visualize the problem.
Tip 3: Always check if your answer is reasonable.
Common Keywords for Addition: total, altogether, sum, combined, in all, more than, increased by.
Place Value: Always align digits correctly when adding (ones under ones, tens under tens).
Addition Rules:

• Commutative Property: a + b = b + a

• Associative Property: (a + b) + c = a + (b + c)

• Identity Property: a + 0 = a

• Regrouping: When sum ≥ 10, carry over to next place value

Addition Word Problems: Solutions 4 to 5
4 Car Counting Problem
Exercise 4
At the parking lot, there were 56 cars in the morning. During lunchtime, 37 more cars arrived. How many cars were in the parking lot at lunchtime?
Definition:

Arrived: Added to the original amount, indicating addition.

Initial Amount
56 cars
Additional Cars
37 cars
Total
93 cars
Step 1: Identify the quantities

Initial cars: 56, Additional cars: 37

Step 2: Find the keyword

"More cars arrived" indicates addition

Step 3: Set up the equation

56 + 37 = ?

Step 4: Solve using column addition

56
+ 37
----
93

6 ones + 7 ones = 13 ones = 3 ones and 1 ten
1 ten + 5 tens + 3 tens = 9 tens

Step 5: State the answer

There were 93 cars in the parking lot at lunchtime

56 + 37 = 93 cars
Final answer:

There were 93 cars in the parking lot at lunchtime.

Applied rules:

• Addition: Combining quantities to find a total

• Regrouping: When ones exceed 9, carry over to tens place

• Keywords: "More arrived" signals addition operation

5 Pizza Party Problem
Exercise 5
For the school party, the teacher ordered 29 cheese pizzas and 44 pepperoni pizzas. How many pizzas did the teacher order in total?
Definition:

Ordered: The quantity purchased, which needs to be added to find the total.

Cheese Pizzas
29
Pepperoni Pizzas
44
Total Pizzas
73
Step 1: Identify the quantities

Cheese pizzas: 29, Pepperoni pizzas: 44

Step 2: Find the keyword

"Total" indicates addition

Step 3: Set up the equation

29 + 44 = ?

Step 4: Solve using column addition

29
+ 44
----
73

9 ones + 4 ones = 13 ones = 3 ones and 1 ten
1 ten + 2 tens + 4 tens = 7 tens

Step 5: State the answer

The teacher ordered 73 pizzas in total

29 + 44 = 73 pizzas
Final answer:

The teacher ordered 73 pizzas in total.

Applied rules:

• Addition: Combining quantities to find a total

• Regrouping: When ones exceed 9, carry over to tens place

• Keywords: "Total" signals addition operation

Comprehensive Addition Word Problems Guide
Problem → Numbers → Operation → Answer → Check
Problem-Solving Process
Key definitions:

Word Problem: A mathematical problem expressed in words that requires translation into mathematical operations.

Addition: The operation of combining two or more numbers to find their total sum.

Regrouping: The process of carrying over when the sum in any place value exceeds 9.

Complete methodology:
  1. Read the problem: Understand the context and identify what is being asked
  2. Identify numbers: Find all relevant numerical values
  3. Find keywords: Look for words indicating the operation needed
  4. Set up equation: Write the mathematical expression
  5. Solve: Calculate the answer using appropriate method
  6. Check: Verify the answer makes sense in context
Tip 1: Draw a picture or use objects to represent the problem.
Tip 2: Read the problem twice to ensure understanding.
Tip 3: Ask yourself: "Does my answer make sense?"
Tip 4: Use place value charts to organize numbers.
Common keywords for addition: altogether, total, sum, combined, in all, more, increased by, plus, added to.
Common mistakes: Misreading numbers, forgetting to regroup, using wrong operation, not answering the question asked.
Important formulas and rules:

• Addition Equation: Part + Part = Whole

• Regrouping Rule: When sum ≥ 10, carry 1 to next place value

• Place Value: Ones, Tens, Hundreds (align accordingly)

• Checking: Use subtraction to verify: Total - Part = Other Part

Questions & Answers

Question: I don't understand when to add or subtract in word problems. How can I tell the difference?

Answer: Great question! Here's how to identify the operation:

  • Keywords for Addition: altogether, total, sum, combined, in all, more, increased by, plus, added to, both
  • Keywords for Subtraction: left, remaining, difference, less, fewer, decreased by, take away, how many more

Example for Addition: "Sarah has 15 apples. Tom gives her 8 more. How many does she have altogether?" (15 + 8)

Example for Subtraction: "Sarah had 23 apples. She ate 7. How many are left?" (23 - 7)

Always ask: "Am I putting things together (add) or taking things away (subtract)?"

Question: My child struggles with regrouping in addition word problems. Any tips for helping them understand?

Answer: Regrouping can be challenging! Try these approaches:

  • Use Base-10 Blocks: Physical cubes (ones), rods (tens), and flats (hundreds) help visualize regrouping
  • Break It Down: Show that 10 ones = 1 ten, 10 tens = 1 hundred
  • Visual Cues: Circle groups of 10 when counting, then convert to higher place value
  • Practice Separately: Master regrouping in isolation before applying to word problems

Example: For 27 + 15, first add ones: 7 + 5 = 12 ones = 2 ones + 1 ten. Then add tens: 2 tens + 1 ten + 1 carried ten = 4 tens. Result: 42.

Question: How do I teach students to check their answers in addition word problems?

Answer: Teaching checking skills builds confidence and accuracy:

  • Estimation Check: Round numbers and estimate if answer is reasonable
  • Reverse Operation: Subtract one addend from the sum to see if you get the other addend
  • Context Check: Does the answer make sense in the story?
  • Re-read: Ensure you answered the specific question asked

Example: If 24 + 37 = 61, check: 61 - 24 = 37 ✓ or 61 - 37 = 24 ✓

Encourage students to always ask: "Is my answer reasonable?"