Understanding Reciprocals: The Inverse Relationship between Multiplication and Division

This lesson covers the concept of reciprocals, emphasizing the inverse relationship between multiplication and division. It explains how to find the reciprocal of a number by dividing 1 by that number and provides examples using whole numbers and fractions. The lesson also highlights common misconceptions and uses rectangular models to illustrate the concepts.

What is the product of a number and its reciprocal?

• 0

• 1

• 2

• Infinity

If the reciprocal of a number Y is 1/Y, what is the reciprocal of 5?

• 1/10

• 1/5

• 5

• 10

What is the reciprocal of 3?

• 1

• 9

• 3

• 1/3

How do you find the reciprocal of a fraction like 3/4?

• Subtract 3/4

• Add 4/3

• Divide by 3/4

• Multiply by 4/3

Which of the following pairs are reciprocals?

• 2 and 1/2

• 4 and 1/4

• 3 and 1/3

• 5 and 1/5