Introduction to Multiplication as Repeated Addition
Multiplication is a fundamental concept in mathematics that can be challenging for some students to grasp. However, by introducing it as repeated addition, students can develop a deeper understanding of the concept and build a strong foundation for future math skills. In this worksheet, we will explore the concept of multiplication as repeated addition and provide exercises for students to practice and reinforce their understanding.
What is Multiplication as Repeated Addition?
Multiplication can be thought of as repeated addition. For example, the multiplication problem 3 × 4 can be represented as 3 groups of 4 objects each. This can be visualized as:
4 + 4 + 4 = 12
In this example, we are adding 4 together 3 times, which is equivalent to multiplying 3 and 4.
Examples of Multiplication as Repeated Addition
Here are a few more examples of multiplication as repeated addition:
- 2 × 5 = 5 + 5 = 10
- 4 × 3 = 3 + 3 + 3 + 3 = 12
- 6 × 2 = 2 + 2 + 2 + 2 + 2 + 2 = 12
Exercises
Now it’s time to practice! Complete the following exercises to reinforce your understanding of multiplication as repeated addition.
- 2 × 6 =? _____________________________________
Answer: 6 + 6 = 12
- 5 × 3 =? _____________________________________
Answer: 3 + 3 + 3 + 3 + 3 = 15
- 4 × 2 =? _____________________________________
Answer: 2 + 2 + 2 + 2 = 8
- 3 × 6 =? _____________________________________
Answer: 6 + 6 + 6 = 18
- 6 × 1 =? _____________________________________
Answer: 1 + 1 + 1 + 1 + 1 + 1 = 6
Tables and Arrays
Another way to represent multiplication as repeated addition is by using tables and arrays.
For example, the multiplication problem 3 × 4 can be represented as a table:
| 1 | 2 | 3 | 4 | |
|---|---|---|---|---|
| 3 | 3 | 6 | 9 | 12 |
Or as an array:
3 rows x 4 columns = 12
| • | • | • | • | | • | • | • | • | | • | • | • | • |
Exercises with Tables and Arrays
Complete the following exercises using tables and arrays to represent multiplication as repeated addition.
- 2 × 5 =?
| 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
| 2 | 2 | 4 | 6 | 8 | 10 |
Answer: 2 × 5 = 10
- 4 × 3 =?
| 1 | 2 | 3 | 4 | |
|---|---|---|---|---|
| 4 | 4 | 8 | 12 | 16 |
Answer: 4 × 3 = 12
- 6 × 2 =?
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 2 | 2 | 4 | 6 | 8 | 10 | 12 |
Answer: 6 × 2 = 12
Conclusion
Multiplication as repeated addition is a fundamental concept in mathematics that can be challenging for some students to grasp. By using visual aids such as tables and arrays, students can develop a deeper understanding of the concept and build a strong foundation for future math skills. Remember to practice, practice, practice to reinforce your understanding of multiplication as repeated addition!
What is multiplication as repeated addition?
+Multiplication as repeated addition is a concept in mathematics where multiplication is represented as the sum of multiple groups of the same number.
How can I use tables and arrays to represent multiplication as repeated addition?
+Tables and arrays can be used to visualize the multiplication problem and show the repeated addition of the same number.
What are some examples of multiplication as repeated addition?
+Examples of multiplication as repeated addition include 2 × 5 = 5 + 5 = 10, 4 × 3 = 3 + 3 + 3 + 3 = 12, and 6 × 2 = 2 + 2 + 2 + 2 + 2 + 2 = 12.
