
Name Per
... Name _____________________ Per. _____ 7. Find two numbers that you could substitute Lesson 5: Negative Numbers & Absolute Value for x to make the statement true. Date _____________ Score _____________ Please show all work, as modeled in class. 1. The _______________ ___________ of an ...
... Name _____________________ Per. _____ 7. Find two numbers that you could substitute Lesson 5: Negative Numbers & Absolute Value for x to make the statement true. Date _____________ Score _____________ Please show all work, as modeled in class. 1. The _______________ ___________ of an ...
CSC165, Summer 2014 Supplementary notes: Week 1
... R is the set of all real numbers. There are several ways to define real numbers. One way is to say that R is the set of all numbers that can be written as infinite decimal fractions (e.g., 1.0000..., 5.25000000000..., 100.112123123412345123456..., π). Basically, rational numbers are all the fraction ...
... R is the set of all real numbers. There are several ways to define real numbers. One way is to say that R is the set of all numbers that can be written as infinite decimal fractions (e.g., 1.0000..., 5.25000000000..., 100.112123123412345123456..., π). Basically, rational numbers are all the fraction ...
Chapter 2
... IRRATIONAL NUMBERS numbers that cannot be expressed as a ratio of two integers a and b and can still be designated on a number line ...
... IRRATIONAL NUMBERS numbers that cannot be expressed as a ratio of two integers a and b and can still be designated on a number line ...
CS 173: Discrete Structures, Fall 2011 Homework 3
... We know that either p or p + 1 is even. So by the lemma above, p(p + 1) must be even. Thus there exists some integer k s.t. p(p + 1) = 2k. Then n2 = 4(2k) + 1 = 8k + 1. This is what we needed to show. (b) (7 points) If a > 0 and b ≤ −2 show that a2 + ab + b2 ≥ 0. Solution: Suppose that a and b are i ...
... We know that either p or p + 1 is even. So by the lemma above, p(p + 1) must be even. Thus there exists some integer k s.t. p(p + 1) = 2k. Then n2 = 4(2k) + 1 = 8k + 1. This is what we needed to show. (b) (7 points) If a > 0 and b ≤ −2 show that a2 + ab + b2 ≥ 0. Solution: Suppose that a and b are i ...
Document
... 2. List all negative integers greater than -4. 3. Use a calculator to evaluate the expression ...
... 2. List all negative integers greater than -4. 3. Use a calculator to evaluate the expression ...
Chapter 2 integers - the set of all whole numbers and their opposites
... Composite numbers- are divisible by more than two numbers. Prime numbers- only have two factors one and itself (ex 3 is 3 x 1) prime factorization - the prime numbers that can be multiplied together to get a product ex: 2 x 3 = 72 GCF (Greatest Common Factor) - the largest whole number that divides ...
... Composite numbers- are divisible by more than two numbers. Prime numbers- only have two factors one and itself (ex 3 is 3 x 1) prime factorization - the prime numbers that can be multiplied together to get a product ex: 2 x 3 = 72 GCF (Greatest Common Factor) - the largest whole number that divides ...
JANUARY `10 TBL MATH 28A — LECTURE 2 — OUTLINE NOTES
... Our main goal in this section is to show that every integer can be factorized as a product of primes in just one way. The fact that every number is a product of primes is easy. Proposition 1. Every integer n ≥ 2 is a product of prime numbers. Proof. If n is prime, we are done. Otherwise, we can writ ...
... Our main goal in this section is to show that every integer can be factorized as a product of primes in just one way. The fact that every number is a product of primes is easy. Proposition 1. Every integer n ≥ 2 is a product of prime numbers. Proof. If n is prime, we are done. Otherwise, we can writ ...
Tuesday, August 24
... as a/b, where a and b are both integers, and b is not equal to 0 Irrational Numbers Cannot be expressed in the form a/b where a and b are integers. Note: All integers are rational numbers because you can write any integer as n/1 ...
... as a/b, where a and b are both integers, and b is not equal to 0 Irrational Numbers Cannot be expressed in the form a/b where a and b are integers. Note: All integers are rational numbers because you can write any integer as n/1 ...
Finding Absolute Value and Adding/Subtracting Real Numbers
... Keep the sign of the larger number Then you’ll be exact. ...
... Keep the sign of the larger number Then you’ll be exact. ...