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To represent a rational number on the number line
Mark the following rationals on the number line: ..
Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line,..
Rational and Irrational Numbers Summary
is called a surd. All surds are irrational numbers. Rational numbers and irrational numbers together form the set of real numbers. All rational and irrational numbers can be marked on the number line. Numbers with surds in t..
Irrational Numbers
) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..
Example 2:
The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..
Geometrical representation of a Complex number, Argand diagram
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this inequality for the ..
Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is..
Which number is missing on the number line?
Which number is missing on the number line? => 75 or 65 or 85 or 70..
Which of the following numbers are indicated by the number line?
Which of the following numbers are indicated by the number line? => 0.4 and 0.7 or 0.2 and 0.6 or 0.3 and 0.7 or 0.5 and 0.8..
Choose the number that completes the number sequence on the number lin..
Choose the number that completes the number sequence on the number line. => 11 or 10 or 15..
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