MATH 1010-2: Quiz 3A
... (a) We are going to find solutions among real numbers greater than or equal to −1. In this case, x + 1 is always positive or 0. So it’s always true that |x + 1| = x + 1. The original equation becomes x+1=4 whose solution is x = 3. Since 3 > −1, it’s in the area that we are finding solutions. (b) We ...
... (a) We are going to find solutions among real numbers greater than or equal to −1. In this case, x + 1 is always positive or 0. So it’s always true that |x + 1| = x + 1. The original equation becomes x+1=4 whose solution is x = 3. Since 3 > −1, it’s in the area that we are finding solutions. (b) We ...
Formal Definition of an arithmetic sequence
... Motivation & Warm up discussion: Begin by considering a real-life example which generates numbers that form a geometric sequence Example [2 minutes] One morning (day 1), three people start a chain letter via e-mail. Each of them sends a message to five other people with the instructions that the rec ...
... Motivation & Warm up discussion: Begin by considering a real-life example which generates numbers that form a geometric sequence Example [2 minutes] One morning (day 1), three people start a chain letter via e-mail. Each of them sends a message to five other people with the instructions that the rec ...
Measurement Handout
... In science, we want to make accurate and precise measurements. Measurements that are accurate are close to the true or actual value of what is being measured. If you measure the same thing several times and get numbers that are close to one another, you have good precision. The measuring device that ...
... In science, we want to make accurate and precise measurements. Measurements that are accurate are close to the true or actual value of what is being measured. If you measure the same thing several times and get numbers that are close to one another, you have good precision. The measuring device that ...
topic 5-2: triangle inequalities
... In a triangle the largest side is opposite the largest angle, and the smallest side is opposite the smallest angle. EXAMPLE 8: A = 120, B = 40, C = 20 ...
... In a triangle the largest side is opposite the largest angle, and the smallest side is opposite the smallest angle. EXAMPLE 8: A = 120, B = 40, C = 20 ...
Chapter 1
... 2.4.3.4. Babylonian numeration system 2.4.3.4.1. based on multiples of 60 2.4.3.4.2. utilized only two symbols 2.4.3.4.3. each symbol had multiple meanings 2.4.3.4.4. meaning determined by context or the position in which it appeared 2.4.3.4.5. see fig. 2.37 and 2.38 p. 108-109 2.4.3.5. Your turn p. ...
... 2.4.3.4. Babylonian numeration system 2.4.3.4.1. based on multiples of 60 2.4.3.4.2. utilized only two symbols 2.4.3.4.3. each symbol had multiple meanings 2.4.3.4.4. meaning determined by context or the position in which it appeared 2.4.3.4.5. see fig. 2.37 and 2.38 p. 108-109 2.4.3.5. Your turn p. ...
Computability - Homepages | The University of Aberdeen
... “computations ~ programs” • This is a nontrivial step. In computability, people are usually more careful: they work with a formalism that is as simple as possible, while still allowing every reasonable `computation’: e.g., Turing machines. ...
... “computations ~ programs” • This is a nontrivial step. In computability, people are usually more careful: they work with a formalism that is as simple as possible, while still allowing every reasonable `computation’: e.g., Turing machines. ...
Writing Decimals as Fractions
... Section 5.7, “Equations and Inequalities with Rational Numbers” Another way to solve an equation with fractions is to clear fractions by multiplying the WHOLE EQUATION by the LCD of the fractions. The resulting equation is equivalent to the original equation WITHOUT fractions. ...
... Section 5.7, “Equations and Inequalities with Rational Numbers” Another way to solve an equation with fractions is to clear fractions by multiplying the WHOLE EQUATION by the LCD of the fractions. The resulting equation is equivalent to the original equation WITHOUT fractions. ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.