
Significant Figures
... higher round up, 4 or lower round down LEFT of Decimal: Replace non significant figures with zeroes if they are to the LEFT of the decimal point RIGHT of Decimal: Drop non significant figures if they are to the RIGHT of the decimal point ...
... higher round up, 4 or lower round down LEFT of Decimal: Replace non significant figures with zeroes if they are to the LEFT of the decimal point RIGHT of Decimal: Drop non significant figures if they are to the RIGHT of the decimal point ...
Problem:
... Example 6: Is the number 91 prime or composite? Use divisibility when possible to find your answer. 91 is not divisible by 2 since the last digit is not 0, 2, 4, 6 or 8. 91 is not divisible by 3 since the sum of the digits (9+1=10) is not divisible by 3. 91 is not evenly divisible by 4 (remainder is ...
... Example 6: Is the number 91 prime or composite? Use divisibility when possible to find your answer. 91 is not divisible by 2 since the last digit is not 0, 2, 4, 6 or 8. 91 is not divisible by 3 since the sum of the digits (9+1=10) is not divisible by 3. 91 is not evenly divisible by 4 (remainder is ...
On Powers Associated with Sierpinski Numbers, Riesel Numbers
... short, is a finite system of congruences x ≡ aj (mod mj ), 1 ≤ j ≤ r, such that every integer satisfies at least one of the congruences. P. Erdős [9, Section F13] apparently believed that Sierpiński numbers and covering systems are so strongly connected that he conjectured that every Sierpiński n ...
... short, is a finite system of congruences x ≡ aj (mod mj ), 1 ≤ j ≤ r, such that every integer satisfies at least one of the congruences. P. Erdős [9, Section F13] apparently believed that Sierpiński numbers and covering systems are so strongly connected that he conjectured that every Sierpiński n ...
Elementary Number Theory - science.uu.nl project csg
... Peano-axioms for the natural numbers, define addition, multiplication and ordering on them and then deduce their elementary properties such as the commutative, associatative and distributive properties. However, because most students are very familiar with the usual rules of manipulation of integers, ...
... Peano-axioms for the natural numbers, define addition, multiplication and ordering on them and then deduce their elementary properties such as the commutative, associatative and distributive properties. However, because most students are very familiar with the usual rules of manipulation of integers, ...
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.