PPT-1 Integers and the Number Line

2 Constructing a Number Line A number line is drawn by choosing a starting position usually 0 and marking off equal distance from that point 3 Although only a portion of the number line is shown the arrowheads indicate that the line and the set of numbers continue. What You Will Learn. Some definitions related to integers.. Rules for adding and subtracting integers.. A method for proving that a rule is true.. Are you ready??. Definition. Positive number – a number greater than zero.. On the number line the . Numbers have a greater value. As you go to the right.. -6 –5 –4 –3 –2 –1. 0 1 2 3 4 5. Review. Integers. -1 is the largest negative. number.. All Positive numbers are . Need two highlighters. 0. Positive. Negative. 5. - 5. Numbers increase in value from left to right. <. Owe . Below. Loss . Debt. Above . Gain . Received. Increase. Write an integer for each situation. Essential Question: How do you compare and order integers?. Key Vocabulary . Integers: all whole numbers and their opposites . Negative Integers: integers less than zero. Positive Integers: integers great than zero. the Number Line. Comparing Rational Numbers. Integers. MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.. MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3.. Lesson . 3.03. After completing this lesson, you will be able to say. :. I . can. locate a number and its opposite on a number line. .. I . can. determine that an opposite of an opposite is the number itself. Chapter 4. With Question/Answer Animations. Chapter Motivation. Number theory . is the part of mathematics devoted to the study of the integers and their properties. . Key ideas in number theory include divisibility and the . Designers. Lecture Notes Based on The Book. Mathematics in Our World. by. Allan G. . Bluman. Chapter 1. The Real Number System. 1.1 The Natural Numbers. 1.1.1 Prime and Composite Numbers. 1.1.2 Prime Factorizations. Soup – . er. mathematics. Adding integers. Option 1 . (SAME SIGN). . Add and take the sign of the bigger number.. Option 2. (DIFFERENT SIGNS). . Subtract and take the sign of the bigger number. TeacherTwins©2014. Warm Up. Add or subtract.. 1). . 2). . 3). . 4). . 5). Explain how to change the following problem to an addition problem and solve. .  . 6. 11. -6. -11. Leave, change , opposite 9+ 9 = 18. Identify and list integers.. Use the number line to order integers.. Add, subtract, multiply, and divide integers.. Use the number line to illustrate integer arithmetic.. Solve problems about integers.. The word . rational. contains the word . ratio. , which is another word for quotient. A rational number can be written as a ratio of integers.. Example 1 – . Determining Whether Numbers Are Rational or Irrational. 6.3 . The student will. a) identify and represent integers;. b) order and compare integers; and. c) identify and describe absolute value of integers.. Above Sea Level. Sea Level. Below Sea Level. Image from http. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur .