## Creating Reciprocals

#### Aligned To Common Core Standard:

**Grade 7 Numbers** - 7.NS.A.2a

How to Create Reciprocals -
Have you ever come across reciprocals? If you haven't, let us tell you that reciprocals are the most interesting part of mathematics. In its true essence, reciprocal of a number is when we divide 1 by the number. For example, the reciprocal of the number 8 is 1/8.
If you want to understand reciprocals and know the trick of creating them, let's find out how you can create reciprocals. Follow the instructions to create reciprocals:
To create a reciprocal, simply divide 1 by the given number.
If the number is not a whole number and is a fraction, you can create its reciprocal by flipping the number. For example, the fraction is 2/3; it's reciprocal would be 3/2.
The reciprocal of a variable x/ (x-1) would be x^{-1/x}; it is simply the upside-down of the variable.
Another form of reciprocal is called flipping a flip; in this form, you create a reciprocal and get the answer, then create the reciprocal of the answer and get it back in its original form. This is called flipping a flip.
Reciprocal in it's simplest form is also notation. The reciprocal of x is 1/x or x - 1. This is the reciprocal as well as notation of x. These worksheets and lessons will help students under what a reciprocal is and how to create them.

### Printable Worksheets And Lessons

- Writing Reciprocals Step-by-Step Lesson- Start with an easy fraction and then we give you a mixed number.
- Guided Lesson - See if you can expand all the choices here into mix numbers or whole numbers after determining the reciprocal.
- Guided Lesson Explanation - See if you like the way I wrote the standard explanation. I think it works well.
- Practice Worksheet - This is definitely different, somewhat of an outcast from the other printables here.
- Matching Worksheet - You might need to reduce the fractions in a few areas to determine the final outcome here.

#### Homework Sheets

It sure does start off easy. Then we introduce students to reciprocals of mixed numbers.

- Homework 1 - A reciprocal of a fraction is just when the numerator and denominator switch places.
- Homework 2 - We would just flip the numerator and denominator.
- Homework 3 - See how to set these up.

#### Practice Worksheets

By the time students complete these, reciprocals are an automatic skill.

- Practice 1 - A great starter to get you going.
- Practice 2 - Rewrite the mixed number as an improper fraction.
- Practice 3 - Write the reciprocal of the following mixed number.