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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?
In this lesson you will learn about reciprocals by thinking about the inverse relationship between multiplication and division.
= = x _ = 3 1 whole 1 whole
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
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
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 .
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.
1 _ = ? 3 1 whole 1 _ 3 = , so is the reciprocal of 3.
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!
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.
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!
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?”
My answer should be more than 1. 1 _ = ? 1 1 whole 1 whole 3 1 2 ? One set of …
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.
x = = 1 x = = 1 and Since x = 1, and x = 1, I know that and are a pair of reciprocals.
In this lesson you have learned about reciprocals by thinking about the inverse relationship between multiplication and division.
First, determine the reciprocal of the following numbers. • Then multiply to see if the product of the number and its reciprocal is “one”. 4
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”!
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”?
For each problem, first write the reciprocal of the number. Then multiply to show a product of “one”. 5