Real Numbers

Real Numbers

Learning objective

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Real Numbers

Learning objective

Learning Objectives

At the end of the lesson you will understand the Fundamental Theorem of Arithmetic. At the end of the lesson you will be able to calculate the Highest Common Factor (HCF) and the Least Common Multiple (LCM). At the end of the lesson you will revisit and deepen your understanding of irrational numbers.

What do you already know about real numbers?

Fundamental Theorem of Arithmetic

Every integer greater than 1 can be uniquely expressed as a product of prime numbers.

Calculating HCF

HCF is the largest positive integer that divides two or more integers without a remainder.

Calculating LCM

LCM is the smallest positive integer that is divisible by two or more integers.

Understanding Irrational Numbers

Irrational numbers cannot be expressed as a fraction of two integers. They have non-repeating, non-terminating decimal expansions.

Definition List

Fundamental Theorem of Arithmetic: Every integer greater than 1 can be uniquely expressed as a product of prime numbers. HCF (Highest Common Factor): The largest positive integer that divides two or more integers without leaving a remainder. LCM (Least Common Multiple): The smallest positive integer that is divisible by two or more integers. Irrational Numbers: Numbers that cannot be expressed as a fraction of two

Write down 3 things you learned in this lesson.

Write down 2 things you want to know more about.

Ask 1 question about something you haven't quite understood yet.