steps for marking an irrational no. on a no. line
Answers
Examples of Irrational Numbers. An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Between any two numbers, however large or small the difference between them may be, we have infinite rational as well as irrational numbers. As such between 1 and 6 too we have infinite irrational numbers. Irrational numbers in their decimal form are non-repeating and non-terminating numbers.
To have better understanding of the concept lets take an example of representation of square root of 2 (2–√) on the number line. For the representation following steps must be followed:
Step I: Draw a number line and mark the centre point as zero.
Step II: Mark right side of the zero as (1) and the left side as (-1).
Irrational Numbers Number Line
Step III: We won’t be considering (-1) for our purpose.
Step IV: With same length as between 0 and 1, draw a line perpendicular to point (1), such that new line has a length of 1 unit.
Step V: Now join the point (0) and the end of new line of unity length.
Step VI: A right angled triangle is constructed.
Step VII: Now let us name the trianlge as ABC such that AB is the height (perpendicular), BC is the base of triangle and AC is the hypotenuese of the right angled triangle ABC.
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