p5_p6 - MSBMoorheadMath
... The domain of a rational expression is the set of all real numbers that can be used as replacements for the variable. Any variable that causes division by zero is excluded from the domain of the rational expression. ...
... The domain of a rational expression is the set of all real numbers that can be used as replacements for the variable. Any variable that causes division by zero is excluded from the domain of the rational expression. ...
Sequence Pictures
... Figure 1. Mersenne Prime Exponents (A000043). I should explain how this picture is made. In binary, 20996011 is {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1}. Take a look at the last column in the image, and you'll see that the binary number has been turned into black a ...
... Figure 1. Mersenne Prime Exponents (A000043). I should explain how this picture is made. In binary, 20996011 is {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1}. Take a look at the last column in the image, and you'll see that the binary number has been turned into black a ...
NOTICE from J - JamesGoulding.com
... points between 0 and 1 inclusive stay bounded under this mapping, and all other points do not because they increase without limit. If we define Or+(f,z) to be the *forward orbit* of z under f (the infinite set {z, f(z), f(f(z)), f(f(f(z))), ...}), then Or+(f,z) is *bounded* if a finite region contai ...
... points between 0 and 1 inclusive stay bounded under this mapping, and all other points do not because they increase without limit. If we define Or+(f,z) to be the *forward orbit* of z under f (the infinite set {z, f(z), f(f(z)), f(f(f(z))), ...}), then Or+(f,z) is *bounded* if a finite region contai ...
Lesson 3
... And: When both situations must happen Or: When only one of the two situations must happen at a time ...
... And: When both situations must happen Or: When only one of the two situations must happen at a time ...
situation 1
... A key to understanding this is knowing that is seeing −x = (−1) · (x). So the question becomes “-1 times what number is greater than 5?” A student also has to understand that in order to get a positive product, a negative must be multiplied by other negative. Students can then fill in this table and ...
... A key to understanding this is knowing that is seeing −x = (−1) · (x). So the question becomes “-1 times what number is greater than 5?” A student also has to understand that in order to get a positive product, a negative must be multiplied by other negative. Students can then fill in this table and ...
Calculation Overview from R to Y6
... Add decimals with up to three decimal places By the end of year 6, children will have a range of calculation methods, mental and written. Selection will depend upon the numbers involved. Children should not be made to go onto the next stage if: they are not ready or they are not confident. Children ...
... Add decimals with up to three decimal places By the end of year 6, children will have a range of calculation methods, mental and written. Selection will depend upon the numbers involved. Children should not be made to go onto the next stage if: they are not ready or they are not confident. Children ...
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.