Number Systems

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Review of Number Line Representation

What is a Number Line? A number line is a straight line with numbers placed at equal intervals. It helps us visualize the order and relationships betw…

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Rational Numbers as Recurring/Terminating Decimals

What are Terminating and Recurring Decimals? When we convert a rational number (p/q) to decimal form by dividing p by q, we get either: Terminating De…

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Operations on Real Numbers

What are Real Numbers? Real numbers include all rational numbers (integers, fractions, terminating/recurring decimals) AND irrational numbers (non-rep…

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Irrational Numbers and Their Representation

What are Irrational Numbers? Irrational numbers are real numbers that cannot be expressed as p/q (where p and q are integers, q ≠ 0). Their decimal ex…

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Rationalization of Real Numbers

What is Rationalization? Rationalization is the process of eliminating irrational numbers (like √2, √3) from the denominator of a fraction. This makes…

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Laws of Exponents for Real Numbers

What are the Laws of Exponents? Exponents (or powers) provide a shorthand way to represent repeated multiplication. These laws work for real numbers a…

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