Algebra 1 3.6

Reciprocals and Division

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Review:

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2. Consider the fraction . What does the denominator tell you?

Give a real-life example of this fraction.

45

3. What happens when you multiply by its reciprocal, ? Why?

45 4

5

1. What operation is being represented in ? How do you know?45

Step 1: convert decimal to fraction.

Step 2: Find the reciprocal.

How do you find the reciprocal of 3.14?

Find the reciprocal of this decimal:

Find the reciprocal of this decimal:

1) 45.65

2) 632.6

3) 2.239

4) 0.10394

Reciprocal Properties:

Property of Reciprocals: a 1a = 1 a1

a = 1

Reciprocal of the Opposite: a

1-a = - 1

Reciprocal of a Product: = 1ab

1a

1b

Division = Multiplying by a reciprocal

Examples:

Simplifying Simple Expressions with Reciprocals:

1-7

14

14

4y 13

-6ab -

Simplifying Complicated Expressions with Reciprocals:

13 (42x - 3y)

Practice Problems in Algebra 1 Textbook