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Math Tutorial 2.2 - Upper and Lower Bounds. Intervals and Segments

There are 3 lessons in this math tutorial covering Upper and Lower Bounds. Intervals and Segments. The tutorial starts with an introduction to Upper and Lower Bounds. Intervals and Segments and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Upper and Lower Bounds. Intervals and Segments. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are the lower and upper bounds in numbers?
  • How to quickly express an estimated value of a mathematical expression using rounding?
  • Using the concepts of upper and lower bound in practice to find the minimum and maximum value of any quantity
  • What are intervals and segments? How are they expressed?
  • How to show intervals and segments in a number line?
  • What are half-intervals and half-segments? How are they expressed in symbols? How do we display them in a number line?
  • How do we show rounding on a number line?

Introduction

In many cases, it is worth knowing the range of numbers that provide a specific rounding. This is because we want to estimate how much we may err if giving an approximate value of a number. We have previously explained that in science we must speak with competence and not guess.

In this tutorial, we will explain how to identify the margins of error we accept when rounding a number. We call these allowed margins of error "bounds" (upper and lower). Let's explain what we mean by that.

Please select a specific "Upper and Lower Bounds. Intervals and Segments" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Approximations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
2.2Upper and Lower Bounds. Intervals and Segments
Lesson IDMath Lesson TitleLessonVideo
Lesson
2.2.1Upper and Lower Bounds
2.2.2Intervals and Segments
2.2.3Rounding through Intervals and Segments Explained

Whats next?

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  6. Continuing learning approximations - read our next math tutorial: Fractions

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