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DIVIDING meaning and definition

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What Does Dividing Mean? A Fundamental Concept in Mathematics

Dividing is a fundamental concept in mathematics that is used to distribute a certain quantity of something into equal parts or groups. It's a crucial operation that helps us solve problems, calculate fractions, and make sense of the world around us. In this article, we'll delve into what dividing means, how it works, and provide examples to illustrate its importance.

What is Dividing?

Dividing is the opposite operation of multiplication. When you multiply two numbers together, you're essentially adding a number a certain number of times. For instance, 3 multiplied by 4 equals 12 because you're adding 3 together four times: 3 + 3 + 3 + 3 = 12.

Conversely, dividing is the process of sharing or distributing a quantity into equal parts or groups. When you divide one number by another, you're asking how many times the second number fits into the first. For example, 12 divided by 4 equals 3 because 4 fits into 12 three times: 12 ÷ 4 = 3.

How Does Dividing Work?

Dividing is a process that involves finding the quotient (result) and remainder of a division problem. The quotient represents how many times the divisor (the number being divided by) fits into the dividend (the number being divided). The remainder, on the other hand, is the amount left over after dividing.

To illustrate this, let's consider the example 12 ÷ 4 = 3. Here's how it works:

  1. Divide 12 by 4: 12 ÷ 4 = ?
  2. Find the quotient (result): 3
  3. Check if there's a remainder: No, because 4 fits into 12 exactly three times.

Examples and Applications

Dividing is used in various aspects of life, from cooking to finance to science. Here are some examples:

  • Cooking: Divide a recipe among 8 people by multiplying the ingredients by 2 (since 8 is twice 4).
  • Finance: Calculate the cost per unit of an item when you divide the total price by the number of units.
  • Science: Divide a large quantity of water into smaller portions for experimentation or analysis.

Conclusion

Dividing is a fundamental concept in mathematics that helps us solve problems, calculate fractions, and make sense of the world. By understanding what dividing means and how it works, you'll be better equipped to tackle real-world problems and appreciate the beauty of mathematics.

Remember, dividing is the opposite operation of multiplication. It's about sharing or distributing a quantity into equal parts or groups. With practice and patience, you'll become proficient in dividing and be able to apply your skills in various situations.


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