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Maths > Real Numbers

Real Numbers

Real Numbers? So you must be wondering, aren’t all numbers real? Are there unreal numbers too? Well, let us solve your confusion right here.

The easiest way to remember is that if a number can be put on the number line, it is a real number. So these include all rational and irrational numbers. So which numbers are not real? Well for starters all imaginary numbers fall outside the category of real numbers. Let’s find out some more interesting concepts about real numbers:

Also, you can download NCERT Solutions for Class 10 Maths here.

 Question. Explain what exactly is the set of real numbers?

Answer. The real numbers are those comprise of whole numbers, natural numbers, rational numbers, irrational numbers, and integers. The set of real numbers refers to all the numbers that have a presence on the number line.

Question. Can we say that zero is a real number?

Answer. Zero certainly is a real number. Furthermore, real numbers consist of zero, the positive and negative integers, along with all the decimal and fractional values in between.

Question. Explain a number that is not real number?

Answer. Any number that is not a real number is a non-real number or an imaginary number.¬† A non-real number is one that when multiplied by itself, results in the production of a negative number. Mathematicians make use of the letter “i” to denote the square root of -1. An imaginary number is any real number whose multiplication takes place by i. For example, 5i is imaginary and the square of 5i turns out to be -25.

Question. Can we say Pi a real number?

Answer. Pi happens to be an irrational number. Hence, it is a real number that a simple fraction cannot express.

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