Special Facts to Know
... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...
... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...
arithmetic - USF Math Lab
... It is subtraction! Subtract smaller from larger and give same sign as larger. (Thus result is negative) We need to get 4/4 from 2: 2 = 1 and 4/4 ...
... It is subtraction! Subtract smaller from larger and give same sign as larger. (Thus result is negative) We need to get 4/4 from 2: 2 = 1 and 4/4 ...
Chapter 3 Math Test
... Two-step example: Solve for t. 3 * 3 = 81/t Answer: t = 9 Solve multiplication word problems including units (1 digit by 2-3 digits) Example: Justin, Carl, Ryan, and Will each have seventy-two alien trading cards. How many cards do they have in all? Generate a number or shape pattern that follows a ...
... Two-step example: Solve for t. 3 * 3 = 81/t Answer: t = 9 Solve multiplication word problems including units (1 digit by 2-3 digits) Example: Justin, Carl, Ryan, and Will each have seventy-two alien trading cards. How many cards do they have in all? Generate a number or shape pattern that follows a ...
Directed Numbers
... -6 < 4 say “minus six is less than four” -2 < 0 say “minus two is less than zero” ...
... -6 < 4 say “minus six is less than four” -2 < 0 say “minus two is less than zero” ...
I Need to Rework this As part of a Retake
... 2. 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 3. 8.EE. ...
... 2. 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 3. 8.EE. ...
... - a number is divisible by two if it ends in an even number - a number is divisible by 3 if the sum of its digits is divisible by 3 - a number is divisible by 5 if it ends in 0 or 5 - a number is divisible by 10 if it ends in a 0 PRACTICE QUESTION: Find the greatest common factor and least common mu ...
The Rational Numbers - StCeciliaHonorsMath
... If the quotient has a digit or a group of digits that repeat without end, the result is a repeating decimal. To show that one or more digits repeat in a decimal, use an ellipsis or an overbar. ...
... If the quotient has a digit or a group of digits that repeat without end, the result is a repeating decimal. To show that one or more digits repeat in a decimal, use an ellipsis or an overbar. ...
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.