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What is a reciprocal? How can I find the reciprocal of a number?

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In this lesson you will learn about reciprocals by thinking about the inverse relationship between multiplication and division.

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Let’s Review 1 whole

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Let’s Review Multiplication and division are inverse operations. You can use multiplication to check your division. A set of related facts, with inverse operations, is called a fact family.

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A Common Mistake Many people have an unclear understanding of what a reciprocal truly is. If I flip this fraction over, I will have a reciprocal… …but what does that mean? Reciprocal

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Let’s Review Core Lesson What is a reciprocal? A reciprocal is one of a pair of numbers whose product is 1.

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Let’s Review Core Lesson How do I determine the reciprocal of a whole number? To find the reciprocal of a whole number, divide “one” by the number.

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Let’s Review Core Lesson 1 _ = ? 3 1 whole

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Let’s Review Core Lesson 1 whole Let’s check… Yes, they are reciprocals! A reciprocal is one of a pair of numbers whose product is 1.

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Let’s Review Core Lesson A reciprocal is one of a pair of numbers whose product is 1. I know that

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Let’s Review Core Lesson What is a reciprocal of a fraction? A fraction reciprocal is one of a pair of fractions whose product is 1. When you invert a fraction (turn it upside down), you have its reciprocal. …but that still doesn’t explain how it works!

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Let’s Review Core Lesson To find the reciprocal of any number, divide “one” by the number.

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Let’s Review Core Lesson My answer should be more than 1. 1 whole ? 12 3

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Let’s Review Core Lesson To find the reciprocal of any number, divide “one” by the number.

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Let’s Review Core Lesson and I know that

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In this lesson you have learned about reciprocals by thinking about the inverse relationship between multiplication and division.

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Let’s Review Guided Practice First, determine the reciprocal of the following numbers. 4 Then multiply to see if the product of the number and its reciprocal is “one”.

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Let’s Review Extension Activities Use a deck of cards (1 – 10 only) to create a fraction. Write the fraction on a whiteboard or scrap paper. Then write its reciprocal. Multiply to show that the product is equal to one. Now SOLVE. Place two cards as shown. x CARD Check to be sure the product is “one”! Write the reciprocal here.

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Let’s Review Extension Activities Can a mixed number have a reciprocal? Look at the mixed number. Write the number that you think could be its reciprocal. Multiply the number by the reciprocal. Does it have a product of “one”?

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Let’s Review Quick Quiz For each problem, first write the reciprocal of the number. Then multiply to show a product of “one”. 5

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