PPT-INTEGERS:

adding subtracting multiplying and dividing If the signs of both numbers are alike both positive or both negative add the two numbers and keep the same sign as in the original problem Example 4 8 12. 15-213: Introduction to Computer Systems. 2. nd. Lecture, Aug. 26, 2010. Instructors:. . Randy Bryant and Dave . O’Hallaron. Today: Bits, Bytes, and Integers. Representing information as bits. Bit-level manipulations. 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.. 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 . 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.. Miles. Jones. MTThF. 8:30-9:50am. CSE 4140. September 1, 2016. Element Distinctness: WHAT. Given list of positive integers a. 1. , a. 2. , …, a. n. decide whether all the numbers are . distinct or whether there is a . 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 . Student Expectation:. 7. th. Grade:. 7.1.2C. Use . models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms. . 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. Danville Senior Center. May 5, 2016. The plan…sort of…. A seminar, not a class.. I have an “agenda”, but we can ignore . it.. But let’s start with introductions-and maybe include your math background and interests.. Fractions and Icebergs!. Since 1912. when the Titanic sank after striking an iceberg, ships and planes from the INTERTATIONAL ICE PATROL have searched the waters of the North Atlantic to report icebergs that have broken off Greenland’s Ice Sheet and drifted into shipping. . Adding Integers. The sum of two positive integers is always positive. 5 4=9.. The sum of two negative integers is always negative. -5 (-3)= -8.. The sum of a positive integer and a negative integer is sometimes positive, sometimes negative and sometimes zero.. What are Integers?. Integers are the whole numbers and their opposites.. …-3, -2, -1, . 0, 1, 2, 3… . Yesterday…. We learned to add integers using models such as number lines and integer tiles.. Gaussian Integers and their Relationship to Ordinary Integers Iris Yang and Victoria Zhang Brookline High School and Phillips Academy Mentor Matthew Weiss May 19-20th, 2018 MIT Primes Conference GOAL: prove unique factorization for Gaussian integers (and make comparisons to ordinary integers)