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## Creating Reciprocals

#### 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  #### 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.

#### Math Skill Quizzes

The first one is simple fractions. Mixed numbers are in numbers two and three.

• Quiz 1 - Write the reciprocal for the following fractions.
• Quiz 2 - Mixed numbers work.
• Quiz 3 - A mix of both skills.