Number Sets And Notation
Overview
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.
Objectives
- 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.
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Number Sets And Notation. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- 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
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
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