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Chapter 2: Problem 3

Find the reciprocal of each number. 6

Short Answer

Expert verified
The reciprocal of 6 is \(\frac{1}{6}\).

Step by step solution

01

Understand the Concept

The reciprocal of a number is defined as 1 divided by that number. For any non-zero number x, its reciprocal is given by \(\frac{1}{x}\).
02

Identify the Given Number

The number given is 6.
03

Apply the Concept

To find the reciprocal of 6, we use the formula for the reciprocal: \(\frac{1}{6}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Basic Mathematics
Basic mathematics forms the foundation for understanding more complex mathematical concepts. One fundamental idea in basic mathematics is the reciprocal. Reciprocals are simple to grasp but crucial. A reciprocal of a number is what you multiply that number by to get 1. For any non-zero number x, the reciprocal is written as \(\frac{1}{x}\). For example, the reciprocal of 5 is \(\frac{1}{5}\). Learning this concept sets the stage for more advanced topics in algebra and calculus. To ensure you understand reciprocals, practice with simple numbers.
Fractions
Fractions are pivotal in understanding reciprocals. When you find the reciprocal of a number, you essentially flip the numerator and denominator of its fractional form. Any whole number can be written as a fraction by placing it over 1. For instance, the number 6 can be written as \[ \frac{6}{1} \]. To find its reciprocal, you flip it, resulting in \[ \frac{1}{6} \]. Mastering fractions and their reciprocals helps in various areas like solving equations and analyzing ratios. Remember, zero does not have a reciprocal because division by zero is undefined.
Number Operations
Number operations involve basic mathematical actions such as addition, subtraction, multiplication, and division. Calculating the reciprocal of a number is an operation that involves division. Specifically, it involves dividing 1 by that number. This operation is simple, yet powerful. For example, given the number 6, you divide 1 by 6 to get \[ \frac{1}{6} \]. Understanding this operation helps simplify complex problems and can be applied in solving equations, working with rates, and more. Always remember that any non-zero number has a reciprocal, which is vital for many mathematical applications.

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Most popular questions from this chapter

List all the factors of each number. $$ 255 $$

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