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Maths
What are real numbers?
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3 Replies
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A real number can be any number which is a postive number or negitive number. It also inculdes integers, rational numbers, irrational number The symbol to denote a real number is ‘R’. even natural number, fractions, decimals come under real number. Real numbers are generally used in computing. Real numbers are also subset of small numbers.
Examples of real number are – 1,2,3,-1,-5,0.3,0.556, 6/7, 9/23 etc.
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A real number includes all the numbers existing in mathematics. Be it a negative integer or a positive one, a zero or a non zero number, a fraction, a decimal, a rational number or an irrational number – ANYTHING. It just has to be a number. All the numbers come under the category of real numbers. However, complex numbers are not just real numbers. They consist of both a real number and an imaginary number.
Following are some examples of real numbers –
0, 1.75, 13/17 , 1/3 , 3/10, 4, 5 etc. Any number, all the numbers, belong to this category – the category of real numbers.
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Real numbers constitute the set of all rational and irrational numbers, encompassing integers, fractions, decimals, and numbers like the square root of 2 or pi. Integers comprise whole numbers, positive and negative, including zero. Rational numbers are expressible as fractions of integers, while irrational numbers, like the square root of 2 or pi, lack such representation. Additionally, real numbers encompass decimals, whether terminating or non-terminating. The set of real numbers is symbolized by ℝ and is integral to various mathematical disciplines such as algebra, calculus, and analysis. Geometrically, real numbers can be plotted on the number line, with each point corresponding to a unique real number.
EXAMPLES : -3 , 4 , 0 , 2 / 3 , 0.34 , pi , 1
