Mathematics (US) - 0444 CIE

Number Sets And Notation

Muhtasari

Every number you have ever used belongs to a family. The counting numbers, the whole numbers, the integers stretching out below zero, the fractions that fill the gaps, and the stranger numbers that no fraction can ever name: mathematics gives each family a name and a precise piece of notation. Knowing which family a number lives in tells you instantly how it will behave.

In this lesson you will sort numbers into natural numbers, integers, rational and irrational numbers, and you will meet prime, square and cube numbers along the way. You will also learn the clean set language that examiners expect, so you can describe a collection of numbers exactly rather than vaguely.

Malengo

Use natural numbers, integers (positive, negative and zero), prime numbers, square and cube numbers, and rational and irrational numbers, with correct set language and notation.

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Maelezo ya Somo

Classifying numbers is the first step toward reasoning about them. Once you know that an integer can be negative but a natural number cannot, or that an irrational number can never be written as a fraction, whole classes of problems become predictable. The set notation you learn here also runs quietly through the rest of the syllabus, from probability to inequalities.

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Which of these is an irrational number? A. 0.25 B. 3/5 C. sqrt(2) D. -4 Answer: C
Which number is a natural number but NOT a prime number? A. 9 B. 7 C. 0 D. -3 Answer: A
Which of these is NOT an integer? A. -4 B. 0 C. 7 D. 3/5 Answer: D
If A = {1, 4, 9, 16}, what is n(A)? A. 1 B. 4 C. 16 D. 30 Answer: B
Which list contains only cube numbers? A. 1, 4, 9, 16 B. 2, 3, 5, 7 C. 1, 8, 27, 64 D. 1, 3, 6, 10 Answer: C

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Vitabu Vinavyopendekezwa

Cambridge IGCSE Mathematics Core and Extended Coursebook

Manukuu: Second edition

Mchapishaji: Cambridge University Press

Mwaka: 2018

ISBN: 978-1-108-43718-9

Maelezo: Endorsed coursebook with full coverage of the 0580/0980 syllabus, worked examples and practice exercises.

Cambridge IGCSE Core and Extended Mathematics

Manukuu: Fifth edition

Mchapishaji: Hodder Education

Mwaka: 2023

ISBN: 978-1-398-37391-4

Maelezo: Endorsed textbook with worked examples and graded questions across Core and Extended content.

Jifunze zaidi kutoka vyanzo huria

Sehemu ya kitabu Rational and Irrational Numbers OpenStax · Prealgebra
Identify rational numbers and irrational numbers

"Prealgebra: Rational and Irrational Numbers" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/7-1-rational-and-irrational-numbers. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction

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