PPT-All About Surds

A surd is a number which is written with a root sign and cannot be simplified eg or Trying to write down the exact number as a decimal is impossible because surds are irrational numbers and therefore the decimal part continues forever without repeating. Indices and Surds Mgr. O
ga Surds A surd is an irrational number in root form. Irrational number: A number that cannot be expressed as a simple fraction i.e. a b You can think of surds as being square roots of numbers that Dr Frost. Objectives: . Appreciate the difference between a rational and irrational number, and how surds can be manipulating both within brackets and fractions.. Learning Objectives. By the end of this topic, you’ll be able to answer the following types of questions:. What Is A Surd ?. Calculate the following roots:. = 6. = 2. = 3. = 5. = 2. All of the above roots have exact values and are called . rational. .. Now use a calculator to estimate the following roots:. Indices. . Indices (Powers). You need to be able to simplify expressions involving Indices, where appropriate.. 1B. Indices. . Indices (Powers). You need to be able to simplify expressions involving Indices, where appropriate.. Previous Answer. ?. To the next clue. Surds Treasure Hunt. Previous Answer. ?. To the next clue.  .  . Card 1. Card 2.  .  . www.interactive-maths.com. www.interactive-maths.com. Surds Treasure Hunt. Indices. . Indices (Powers). You need to be able to simplify expressions involving Indices, where appropriate.. 1B. Indices. . Indices (Powers). You need to be able to simplify expressions involving Indices, where appropriate.. A surd is a number which is written with a root sign and cannot be simplified e.g. . or . Trying to write down the exact number as a decimal is impossible because surds are irrational numbers and therefore the decimal part ‘continues forever’, without repeating.. A can be expressed as an exact fraction in the form . . , . where a and b are . Reminder: An is a positive or negative whole number. Examples: . 4 = 0.5 = 0.333. Ӟ. = . Chapter . 2.2. Write the following numbers as the base 5 raised to a power..  . Base. Index. Power. Standard Form. Notice that .  .  .  .  .  . Working with Indices. Chapter . 2.2. Simplify these.. Notices and the Website. Assignments. What is the symbol for ‘implies’?. Define proof by deduction.. What is a conjecture?. ⇒. Proof by deduction consists of a logical argument as to why the conjecture must be true. This will often require you to use algebra.. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 2. nd. September 2013. Starter. Expand the following..  . ?. ?. ?. ?. ?. Recap: Basic Laws of Indices.  .  .  .  .  .  . ?. ?. ?. Mr. Richard Sasaki. Objectives. Understand the meaning of rational numbers. Understand the meaning of surd. Be able to check whether a number is a surd or not. Be able to simplify surds. Rational Numbers. Dr Frost. Objectives: . Appreciate the difference between a rational and irrational number, and how surds can be manipulating both within brackets and fractions.. Learning Objectives. By the end of this topic, you’ll be able to answer the following types of questions:.