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

What is a reciprocal? How can I find the reciprocal of a number?. In this lesson you will learn about reciprocals by thinking about the inverse relationship between multiplication and division. = = . x . _ = 3. 1 whole. 1 whole.

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

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

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

  3. = = x _ = 3 1 whole 1 whole

  4. 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. 2 _ 3 = 3 x = 2 x 3 = 2 2 _ = 3

  5. 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

  6. What is a reciprocal? A reciprocal is one of a pair of numbers whose product is 1. y x = = 1, so is the reciprocal of y. x = = 1, so is the reciprocal of .

  7. How do I determine the reciprocal of a whole number? To find the reciprocal of a whole number, divide “one” by the number. 1 _ y = , so is the reciprocal of y.

  8. 1 _ = ? 3 1 whole 1 _ 3 = , so is the reciprocal of 3.

  9. A reciprocal is one of a pair of numbers whose product is 1. Does 3 x result in a product of 1 ? Let’s check… x 3 = ? 1 whole x = , and is equal to 1 whole. Yes, they are reciprocals!

  10. A reciprocal is one of a pair of numbers whose product is 1. Since x 3 = 1, and 3 x = 1, I know that 3 and are a pair of reciprocals.

  11. 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!

  12. To find the reciprocal of any number, divide “one” by the number. 1 _ = ? So I can find the reciprocal of by dividing 1 by ? I have to ask myself, “How many are there in one whole?”

  13. My answer should be more than 1. 1 _ = ? 1 1 whole 1 whole 3 1 2 ? One set of …

  14. To find the reciprocal of any number, divide “one” by the number. So I can find the reciprocal of by dividing 1 by ? 1 _ =1 = 1 _ = , and that’s how to find the reciprocal of a fraction.

  15. x = = 1 x = = 1 and Since x = 1, and x = 1, I know that and are a pair of reciprocals.

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

  17. First, determine the reciprocal of the following numbers. • Then multiply to see if the product of the number and its reciprocal is “one”. 4

  18. 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. Write the reciprocal here. Place two cards as shown. CARD x • Now SOLVE. CARD Check to be sure the product is “one”!

  19. 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”?

  20. For each problem, first write the reciprocal of the number. Then multiply to show a product of “one”. 5

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