A Tutorial on Data Representation - Integers, Floating
... Human beings use decimal (base 10) and duodecimal (base 12) number systems for counting and measurements (probably because we have 10 fingers and two big toes). Computers use binary (base 2) number system, as they are made from binary digital components (known as transistors) operating in two states ...
... Human beings use decimal (base 10) and duodecimal (base 12) number systems for counting and measurements (probably because we have 10 fingers and two big toes). Computers use binary (base 2) number system, as they are made from binary digital components (known as transistors) operating in two states ...
Problem Solving
... {Hint: Every time Sarah reaches the starting line must be a multiple of 72 seconds, and every time Hillary reaches the starting line must be a multiple of 68 seconds. So they will both be at the starting line at common multiples of 72 and 68.} b) If they start together, how many laps will Sarah have ...
... {Hint: Every time Sarah reaches the starting line must be a multiple of 72 seconds, and every time Hillary reaches the starting line must be a multiple of 68 seconds. So they will both be at the starting line at common multiples of 72 and 68.} b) If they start together, how many laps will Sarah have ...
equivalent fractions
... NS2.4 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g. to find a common denominator to add two fractions or to find the reduced form of a fraction). Also covered: NS1.1 ...
... NS2.4 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g. to find a common denominator to add two fractions or to find the reduced form of a fraction). Also covered: NS1.1 ...
University of Phoenix MTH 209 Algebra II
... If the coefficient of a isn’t 1… • Too bad. To make this work, you have to MAKE it = 1!! • So divide both sides in their entirety by whatever is before the a • For example if you have 2x2+4x+10=8 • Then divide EVERYTHING by 2 • Making it x2+2x+5=4 then work on… ...
... If the coefficient of a isn’t 1… • Too bad. To make this work, you have to MAKE it = 1!! • So divide both sides in their entirety by whatever is before the a • For example if you have 2x2+4x+10=8 • Then divide EVERYTHING by 2 • Making it x2+2x+5=4 then work on… ...
![arXiv:math/0511682v1 [math.NT] 28 Nov 2005](http://s1.studyres.com/store/data/014696627_1-8def914a5ac3ed74bde3727e1309931c-300x300.png)
GIMPS Complexity Problem
... The number found was 243,112,609-1. How many decimal digits is that? Solve 10d = 243,112,609. Take logs to the base 10 to get d = 43112609 log102 = 12978188, almost 13 million digits. Numbers of the special form 2n – 1 are easier to test for primeness than for general numbers, by using the Lucas Leh ...
... The number found was 243,112,609-1. How many decimal digits is that? Solve 10d = 243,112,609. Take logs to the base 10 to get d = 43112609 log102 = 12978188, almost 13 million digits. Numbers of the special form 2n – 1 are easier to test for primeness than for general numbers, by using the Lucas Leh ...
Arithmetic - Collegepond
... first step and write their sum. If the difference between the two sums is divisible by 11, then so is the original number. For example, to test whether 803,715 is divisible by 11, we fir st add 8 + 3 + 1 = 12. To do this, we just started with the leftmost digit and added alternating digits. Now we a ...
... first step and write their sum. If the difference between the two sums is divisible by 11, then so is the original number. For example, to test whether 803,715 is divisible by 11, we fir st add 8 + 3 + 1 = 12. To do this, we just started with the leftmost digit and added alternating digits. Now we a ...
N2 Powers, roots and standard form
... We are often required to simplify surds by writing them in the form a√b. For example, Simplify √50 by writing it in the form a√b. Start by finding the largest square number that divides into 50. ...
... We are often required to simplify surds by writing them in the form a√b. For example, Simplify √50 by writing it in the form a√b. Start by finding the largest square number that divides into 50. ...
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.