STD IX – RATIONAL AND IRRATIONAL NUMBERS – PASCALS
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RATIONAL AND IRRATIONAL NUMBERS
RATIONAL NUMBERS
Rational numbers are real numbers that can be expressed as a fraction where the numerator and the denominator of the fraction are both integers. This includes all whole numbers (for example, 3 be written as 3/1) and all finite or recurring decimals.
Rational Numbers
Any number which can be put in the form of pqwhere p and q are integers and q not equal to zero is called a rational number.
There exist an infinite number of rational numbers between any two rational numbers
For example, in between 7 and 7.5 there exist 7.1, 7.11, 7.21, etc.)
A fraction is a rational number only when it is in its lowest form, i.e., there is no common factor other than 1 in the numerator (p) and denominator (q)
Algebraic operations on rational numbers
Sum of two rational numbers is a rational number
Difference of two rational numbers is a rational number
Product of two rational numbers is a rational number
Quotient of two rational numbers is a rational number
Course Content
RATIONAL AND IRRATIONAL NUMBER – 04 APRIL 2022 – RATIONALISE THE DENOMINATOR
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20:19
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04:38
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01:56
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QUIZ – PRELIMINARY EXERCISE A – 04042022 – PROPERTIES OF RATIONAL NUMBERS
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QUIZ – EXERCISE B – 04042022 – RATIONALISE THE DENOMINATOR
RATIONAL AND IRRATIONAL NUMBER – 12 APRIL 2022 – FINDING VALUES AND RATIONALISING
RATIONAL AND IRRATIONAL NUMBER – PROOF OF IRRATIONALITY
RATIONAL AND IRRATION NUMBERS – 04062022
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