Mapping Powerpoints to NC Programmes of study
... by n for positive integers n [for example, 100 = 1; 9-1 = one-ninth] , the corresponding rule for negative numbers [for example, 5-2 = 1 divided by 52 = 1/25] , n to the power half = √n and n to the power one-third = 3√n for any positive number n [for example, 25 to the power half = 5 and 64 to the ...
... by n for positive integers n [for example, 100 = 1; 9-1 = one-ninth] , the corresponding rule for negative numbers [for example, 5-2 = 1 divided by 52 = 1/25] , n to the power half = √n and n to the power one-third = 3√n for any positive number n [for example, 25 to the power half = 5 and 64 to the ...
The generalized order-k Fibonacci–Pell sequence by matrix methods
... Pn = 0 otherwise where Pni is the nth term of the ith generalized order-k Pell sequence. Also authors give the generating matrix, Binet formula, sums and combinatorial representations of the terms of generalized order-k Pell sequence {Pni }. The above sequences are a special case of a sequence which ...
... Pn = 0 otherwise where Pni is the nth term of the ith generalized order-k Pell sequence. Also authors give the generating matrix, Binet formula, sums and combinatorial representations of the terms of generalized order-k Pell sequence {Pni }. The above sequences are a special case of a sequence which ...
Quadratic Expression (Factorisation)
... Factorising by completing the square from a binomial expression. Quadratic expressions of the form x2 – y2 are easily factorised by the method ...
... Factorising by completing the square from a binomial expression. Quadratic expressions of the form x2 – y2 are easily factorised by the method ...
NJCTL G4 Mlt_Dv Mltdgt
... Multiply the ones. Write 4 in the ones place. Write the 2 over the tens column. Multiply the tens by 3. Add the 2 over the tens column to that product. Write 7 in the tens place. Write 1 over the ...
... Multiply the ones. Write 4 in the ones place. Write the 2 over the tens column. Multiply the tens by 3. Add the 2 over the tens column to that product. Write 7 in the tens place. Write 1 over the ...
Integer Exponents PowerPoint integer_exponents
... You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = ...
... You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = ...
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.