Division: Relating Multiplication and Division

In this lesson, we will explore how multiplication and division are related. Understanding this relationship will help you solve division problems more easily.

Key Concepts

• Multiplication is repeated addition. For example, $3 \times 4$ means adding $3$ four \times: $3 + 3 + 3 + 3 = 12$.
• Division is the process of splitting into equal parts or groups. For example, $12 \div 4$ asks how many groups of $4$ can fit into $12$.

Relationship Between Multiplication and Division

We can express division in terms of multiplication. For instance: $\text{If } a \times b = c, \text{ then } c \div b = a \text{ and } c \div a = b.$
This means that division can be seen as finding a missing factor in multiplication.

Example

Consider the multiplication equation: $3 \times 5 = 15$ From this, we can derive two division equations:

• $15 \div 3 = 5$
• $15 \div 5 = 3$

Both statements are true, which shows how division and multiplication are interconnected.

Key Questions

• What is the relationship between multiplication and division?
• How can you use multiplication facts to help with division problems?
• Can you find division problems that relate to a multiplication fact you know?

Conclusion

Understanding the relationship between multiplication and division is crucial for solving various math problems. Practice using multiplication facts to assist you in division!