PPT-ζ GCSE – Irrational Numbers and Surds

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 youll be able to answer the following types of questions. Rational Numbers. The . real number system. consists of rational and irrational numbers.. . Rational numbers. can be expressed in fractional form, , where a (the numerator) and b (the denominator) are both integers and b = 0.. INTRODUCTION. What will we learn today?. Number Line. Types of number. Trick of the session. Number Line. Negative numbers Positive numbers. . ----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----. Homework: Rational and Irrational Numbers Worksheet. TOMORROW IS THE LAST DAY FOR A RETEST ON UNIT 1 IF I CAME TO A FULL TEST TUTORING SESSION. I SHOULD BE HERE AT 8:15 am FOR THE RETEST!!!. Warm-up. Fill-in-the-blank:. Rational. or . Irrational. ?. 1) The sum of two rational numbers is ________.. 2) The product of two rational numbers is ______.. 3) The sum of a rational and an irrational is ____.. 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. = . When it came to measuring quantities in dissimilar vessels, such a proportion could only be found by finding a unit of measure by which both vessels could be measured as a whole number .  . Anthyphairesis. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . 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:. Objective. TSW identify the parts of the Real Number System. TSW define rational and irrational numbers. TSW classify numbers as rational or irrational. Real Numbers. Real Numbers are every number.. Therefore, any number that you can find on the number line.. grade Math – Numeration Unit. 7. π. -√36. ¾. 0. 2.12122….. Number Types. Whole . Integers. Rational Numbers. Irrational Numbers. Which is which? . How can you tell them apart?. Whole Numbers. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . Rational and Learning TargetStudents can identify numbers as being rational or irrationalAll REALnumbers are made up of RATIONAL IRRATIONAL numbersRational NumbersA rational number is a number that c