Solved Exercises on Repeated Addition Multiplication in Grade 2

Master repeated addition multiplication: 5 comprehensive exercises with detailed solutions, visual learning aids, and step-by-step explanations for 2nd grade students.

Multiplication Concepts & Definitions
🔄 × 🔄 = 🔄 + 🔄 + 🔄...
Multiplication as Repeated Addition
Key Definitions:

Multiplication: A mathematical operation that represents repeated addition of the same number

Multiplier: The number of groups or sets

Multiplicand: The number being added repeatedly

Product: The result of multiplication

Multiplication Formula
a × b = b + b + b... (a times)
3 × 4 = 4 + 4 + 4 = 12
Commutative Property
a × b = b × a
2 × 3 = 3 × 2 = 6
Identity Property
a × 1 = a
5 × 1 = 5
🍎
Groups
+
Plus
🍎
Items
=
Equals
🎯
Total
Step-by-Step Method:
  1. Identify the groups: Count how many groups you have
  2. Count items per group: See how many items are in each group
  3. Write as repeated addition: Add the same number multiple times
  4. Calculate the total: Add all the numbers together
  5. Convert to multiplication: Write as a multiplication sentence
Tip 1: Draw pictures or use counters to visualize groups.
Tip 2: Count by 2s, 5s, and 10s to make multiplication easier.
Tip 3: Remember: 2 × 3 means 2 groups of 3, not 3 groups of 2.
Solution: Exercises 1 to 3
1 Basic Repeated Addition
Exercise 1
Sarah has 3 baskets. Each basket contains 4 apples. How many apples does Sarah have in total?
Problem Analysis:

Groups: 3 baskets

Items per group: 4 apples per basket

Operation: 3 × 4

🍎🍎🍎🍎
Basket 1
🍎🍎🍎🍎
Basket 2
🍎🍎🍎🍎
Basket 3
Multiplication
3 × 4
Repeated Addition
4 + 4 + 4
Total
12
Step 1: Identify the groups

Sarah has 3 baskets, so we have 3 groups

Step 2: Count items per group

Each basket has 4 apples, so each group has 4 items

Step 3: Write as repeated addition

3 groups of 4 means: 4 + 4 + 4

Step 4: Calculate the total

4 + 4 + 4 = 12

Step 5: Write multiplication sentence

3 × 4 = 12

3 × 4 = 4 + 4 + 4 = 12
Final answer:

Sarah has 12 apples in total.

Applied rules:

• Grouping: Organize items into equal groups

• Counting: Count items in each group

• Repetition: Add the same number multiple times

2 Equal Groups
Exercise 2
There are 4 dog houses. Each house has 2 dogs. How many dogs are there altogether?
Problem Analysis:

Groups: 4 dog houses

Items per group: 2 dogs per house

Operation: 4 × 2

🐕🐕
House 1
🐕🐕
House 2
🐕🐕
House 3
🐕🐕
House 4
2
2
2
2
Multiplication
4 × 2
Repeated Addition
2 + 2 + 2 + 2
Total
8
Step 1: Identify the groups

There are 4 dog houses, so we have 4 groups

Step 2: Count items per group

Each house has 2 dogs, so each group has 2 items

Step 3: Write as repeated addition

4 groups of 2 means: 2 + 2 + 2 + 2

Step 4: Calculate the total

2 + 2 + 2 + 2 = 8

Step 5: Write multiplication sentence

4 × 2 = 8

4 × 2 = 2 + 2 + 2 + 2 = 8
Final answer:

There are 8 dogs altogether.

Applied rules:

• Equal groups: Each group must have the same number of items

• Commutative property: 4 × 2 = 2 × 4 = 8

• Counting strategy: Skip count by 2s: 2, 4, 6, 8

3 Word Problem
Exercise 3
A parking lot has 5 rows. Each row has 3 cars. How many cars are there in the parking lot?
Problem Analysis:

Groups: 5 rows

Items per group: 3 cars per row

Operation: 5 × 3

🚗🚗🚗
Row 1
🚗🚗🚗
Row 2
🚗🚗🚗
Row 3
🚗🚗🚗
Row 4
🚗🚗🚗
Row 5
3
3
3
3
3
Multiplication
5 × 3
Repeated Addition
3 + 3 + 3 + 3 + 3
Total
15
Step 1: Identify the groups

There are 5 rows, so we have 5 groups

Step 2: Count items per group

Each row has 3 cars, so each group has 3 items

Step 3: Write as repeated addition

5 groups of 3 means: 3 + 3 + 3 + 3 + 3

Step 4: Calculate the total

3 + 3 + 3 + 3 + 3 = 15

Step 5: Write multiplication sentence

5 × 3 = 15

5 × 3 = 3 + 3 + 3 + 3 + 3 = 15
Final answer:

There are 15 cars in the parking lot.

Applied rules:

• Array model: Objects arranged in rows and columns

• Commutative property: 5 × 3 = 3 × 5 = 15

• Counting strategy: Skip count by 3s: 3, 6, 9, 12, 15

Solution: Exercises 4 to 5
4 Real World Application
Exercise 4
Maria has 6 plates. She puts 2 cookies on each plate. How many cookies does Maria have?
Problem Analysis:

Groups: 6 plates

Items per group: 2 cookies per plate

Operation: 6 × 2

🍪🍪
Plate 1
🍪🍪
Plate 2
🍪🍪
Plate 3
🍪🍪
Plate 4
🍪🍪
Plate 5
🍪🍪
Plate 6
2
2
2
2
2
2
Multiplication
6 × 2
Repeated Addition
2 + 2 + 2 + 2 + 2 + 2
Total
12
Step 1: Identify the groups

Maria has 6 plates, so we have 6 groups

Step 2: Count items per group

Each plate has 2 cookies, so each group has 2 items

Step 3: Write as repeated addition

6 groups of 2 means: 2 + 2 + 2 + 2 + 2 + 2

Step 4: Calculate the total

2 + 2 + 2 + 2 + 2 + 2 = 12

Step 5: Write multiplication sentence

6 × 2 = 12

Step 6: Verification

Count by 2s: 2, 4, 6, 8, 10, 12 ✓

6 × 2 = 2 + 2 + 2 + 2 + 2 + 2 = 12
Final answer:

Maria has 12 cookies.

Applied rules:

• Real-world context: Apply multiplication to everyday situations

• Verification: Double-check by skip counting

• Commutative property: 6 × 2 = 2 × 6 = 12

5 Complex Problem
Exercise 5
A classroom has 4 tables. Each table seats 3 students. If there are 2 classrooms like this, how many students can be seated in total?
Problem Analysis:

First level groups: 2 classrooms

Second level groups: 4 tables per classroom

Items per group: 3 students per table

📚
Classroom 1
📚
Classroom 2
👥👥👥
Table 1
👥👥👥
Table 2
👥👥👥
Table 3
👥👥👥
Table 4
Step 1
4 × 3 = 12
Step 2
2 × 12 = 24
Total
24
Step 1: Students per classroom

4 tables × 3 students = 3 + 3 + 3 + 3 = 12 students per classroom

Step 2: Total students

2 classrooms × 12 students = 12 + 12 = 24 students total

Step 3: Alternative approach

Total tables: 2 × 4 = 8 tables

Total students: 8 × 3 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24

Step 4: Verification

Count by 3s: 3, 6, 9, 12, 15, 18, 21, 24 ✓

(2 × 4) × 3 = 8 × 3 = 24
2 × (4 × 3) = 2 × 12 = 24
Final answer:

24 students can be seated in total.

Applied rules:

• Multi-step problems: Break complex problems into smaller parts

• Associative property: (a × b) × c = a × (b × c)

• Multiple approaches: Different ways to solve the same problem

Questions & Answers

Question: I don't understand why 3 × 4 is the same as 4 + 4 + 4. Can you explain this?

Answer: Great question! Let me explain using a real example:

  • 3 × 4 means "3 groups of 4"
  • So imagine you have 3 baskets, and each basket has 4 apples
  • You have: Basket 1 (4 apples) + Basket 2 (4 apples) + Basket 3 (4 apples)
  • This is the same as: 4 + 4 + 4 = 12 apples

Think of multiplication as a shortcut for repeated addition. Instead of adding 4 three times, we write 3 × 4.

Visual: 🍎🍎🍎🍎 + 🍎🍎🍎🍎 + 🍎🍎🍎🍎 = 12 apples total

Question: How do I know which number is the number of groups and which is the number in each group?

Answer: Look for the word "each" or "per" in the problem - this tells you the number in each group:

  • "3 boxes, each with 4 toys" → 3 groups of 4 → 3 × 4
  • "5 shelves, each holding 2 books" → 5 groups of 2 → 5 × 2
  • "4 rows, each with 3 chairs" → 4 groups of 3 → 4 × 3

The first number (before "each") is usually the number of groups.

The number after "each" is the number in each group.

Remember: a × b = a groups of b items each

Question: My child is struggling with multiplication. What can I do at home to help?

Answer: Here are effective strategies for home practice:

  • Use manipulatives: Counters, blocks, or toys to create physical groups
  • Draw pictures: Draw circles with dots inside to represent groups
  • Real-world connections: Use snacks, toys, or household items
  • Skip counting: Practice counting by 2s, 3s, 4s, 5s
  • Games: Play multiplication games or apps designed for 2nd graders

Start with small numbers (1-5) and gradually increase difficulty.

Be patient and celebrate small successes!