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. Integers. Integers. : all positive and negative whole numbers and 0. Opposites: . integers that are the same distance from zero on a number line. Comparing Integers. : The greatest number is the one furthest to the right on the number line.. INTRODUCTION. What will we learn today?. Number Line. Types of number. Trick of the session. Number Line. Negative numbers Positive numbers. . ----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----. Write in your planner and stamp sheet:. Homework: Toeing the Line WS. Warm-up. Extending the Number System. Positive . Numbers:. Numbers . to the right of zero on a number line. Negative Numbers:. Numbers . 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. 04/20/17. How do we use models to add and subtract integers?. How do we add or subtract integers without models?. Today We’ll Discuss. One of the main reasons for having negative numbers is that they give us . Students will be able to use integers to represent the velocity and the speed of an object as evidenced by . the class discussion after watching a short video.. https://www.youtube.com/watch?v=M9NBZJR5tyo. 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.. 2.064 ÷ 0.24. Step 1- Move the decimal in the divisor. Step 2- Move the decimal in the dividend. Step 3- How many times can 24 go into 2? Into 20? Into 26?. Step 4- Put the number of times up above and subtract the total.. Investigation1: Extending the Number System. Students will demonstrate understanding of the number line and how to use it to compare numbers, add and subtract numbers.. Homework for this section. Due Thursday. 2022. Lecture 11. https://abstrusegoose.com/353. Proof By Cases. Let . . Prime. , . . Odd. . PowerOfTwo. Where . PowerOfTwo. Integer. Prove . We need two different arguments – one for 2 and one for all the other primes….