Explain Composite Numbers and Real Numbers

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What are Composite Numbers?

Numbers can be categorized based on the number of factors they have are called Composite numbers. If a number has just two existing factors in the whole- number 1 and the number itself, then it is a prime number. The numbers that have more than a couple of factors are termed as composite numbers. Composite numbers can be simplified as natural numbers that have more than two factors. In other words, a number that is divided by a number other than 1 and the number itself, is known as a composite number. Let us read more about composite numbers with well-practiced examples that include our day-to-day activities as well.

Properties of Composite Numbers

A composite number is a positive integer that can be determined by doubling two smaller positive integers together. The structural and main properties of a composite number listed below:

  • All composite numbers are evenly divided by smaller numbers that can be either prime or composite.
  • All composite numbers are made up of two or more prime numbers.

Types of Composite Numbers:

The two principal and foremost types of composite numbers in mathematics are Odd Composite Numbers and Even Composite Numbers.

Odd Composite Numbers

All the odd integers which are not prime numbers are known as odd composite numbers in the number system. For instance, 9, 15, 21, 25, 27 are all odd composite numbers. Let us take into consideration numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15. Hither 9 and 15 are the odd composite numbers because they two have odd divisors and serve the composite number conditions.

Even Composite Numbers

All even numbers on the number line which are not prime numbers in the system are known as even composite. 4, 6, 8, 10, 12, 14, 16, are even composite numbers on a given number line in this particular illustration. Let us take into consideration numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15. Here 4, 10, and 12 are even composite in nature because they have even divisors and meet the composite number conditions.

What are Real Numbers?

Real numbers can be described and explained as the combination of both rational and irrational numbers. They can be both positive as well as negative and are thus symbolized by the letter “R”. All the natural numbers, decimals, and fractions that exist in the number system come under this category.

Properties of Real Numbers

There are four principal and primary properties which comprise commutative property, associative property, distributive property, and identity property. Let’s consider “m, n, and r” as three given real numbers.

  • Commutative Property
  • Associative Property
  • Distributive Property
  • Identity Property

In order to get an in-depth understanding of the properties of real numbers, you can refer to the Cuemath website. Cuemath helps students understand these properties in detail using visual tools that make learning super engaging.

Is Zero a Real or an Imaginary Number?

Zero is identified as both a real as well as an imaginary number. As we all comprehend, imaginary numbers are the square root of non-positive real numbers on the number line. Here since 0 is a non-positive number, therefore it serves all the principles of an imaginary number. Whereas zero is also a rational number, which is placed in a number line and hence makes zero a real number.

Why are they called “Real” Numbers?

Real numbers are named and called real numbers because they are not imaginary.

The Real Numbers in history had no standard name and were therefore considered as Imaginary Numbers only. They were named and known as “Real” because they are not imaginary in nature.

Symbol of Real Numbers

Since the collection of real numbers is the set of all rational and irrational numbers existing in the number line, real numbers are expressed by the capital alphabet R. Here below is a list of all symbols of all kinds of numbers existing in the number system.

  • N – Natural numbers
  • W – Whole numbers
  • Z – Integers
  • Q – Rational numbers

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