Standard 8 Maths

  1. Rational Numbers :
    • Numbers that can be represented/written in the form p / q where p and q are integers and q is not 0
    • Any integer or whole number can also be written in the format p/q. e.g. 4 can be written as 8/2 or 4/1 or 12/3 … Similarly, -5 can be written as 10/-2 or -25/5 or -5/1 …
    • The Sum of two rational numbers is a rational number which means “Rational Numbers are closed under addition”
    • The Difference between two rational numbers is a rational number which means “Rational Numbers are closed under subtraction”
    • The product of two rational numbers is a rational number which means “Rational Numbers are closed under division”
    • The division of two rational numbers is not a rational number which means “Rational Numbers are NOT closed under division”. This is primarily because for a rational number a, a / 0 is not defined.
Numbers
AdditionSubtractionMultiplicationDivision
Rational NumbersYesYesNo
IntegersYesNo
Whole NumbersYes
Natural NumbersNo

$latex i\hbar\frac{\partial}{\partial t}\left|\Psi(t)\right>=H\left|\Psi(t)\right>$

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