تكليف تكنولوجيا المناخ المدرسي

Math's Prep 1st 2024 First term, Unite : 1 The Rational Numbers Lesson 1: The rational numbers أسم الدكتور / عمر سيد أحمد أسم المـــاده / أساسيات تكنولوجيا التعليم أســـم الدبلـــــوم / الدبلوم العام في التربيه األســــــــــــــم / خالد عربي أحمد علي شعبــــــــه / التجاري المجموعه / الثالثــه

Notes: Set of counting numbers .= {1,2,3,……} Set of Natural numbers N = {0,1,2,3,….} Set of integers numbers Z = {….,-1,0,1,….} Definition: The rational number is a number that can be expressed in the form of quatient of an integer divided by an integer other than 0. Any rational number can be expressed as ( a , b two terms ) X = and the set of rational number = Q Q = { X : X = , a € Z , b € Z , b ≠0 }

Based on the definition (3 notes) All decimal are rational numbers ex (0.7,1.2) All percentages are rational number ex (15%) All integers are rational number ex (3,4) There for Z Q and N Z Then: N Z Q -

Example on the form & b ≠0 show why each of the following is a rational number. = (×)+ = + = -0.17 = - 0.006 = 27% =

Ex: put each of the following numbers in the simplest form. = (Divided by 5 up and down) 15 ÷ 5 = 3 and 25 ÷ 5 = 5 - = - (Divided by 8 up and down) 24 ÷ 8 = 3 and 56 ÷ 8 = 7 = (Divided by 5 up and down) 45 ÷ 5 = 9 and 20 ÷ 5 = 4 - = - = - Divided by up and down ÷ 11 and ÷ 4 = + = = = = 2.5 =250% 7 = + = = 7.1875 = 718.75%