Adding Arithmetic Sequences by Pairing Off
... Legend has it that when the great mathematician Carl Gauss was a young boy, his teacher asked him to add all the numbers from 1 to 100. Gauss quickly realized that there was a fast way of doing this, paired numbers from each end, and multiplied by the number of pairs. ...
... Legend has it that when the great mathematician Carl Gauss was a young boy, his teacher asked him to add all the numbers from 1 to 100. Gauss quickly realized that there was a fast way of doing this, paired numbers from each end, and multiplied by the number of pairs. ...
Number Theory/Fraction notes
... These are perfect numbers – the sum of the proper factors is equal to the given number. There are only 30 known perfect numbers. The first four are 6, 28, 496, and 8128. ...
... These are perfect numbers – the sum of the proper factors is equal to the given number. There are only 30 known perfect numbers. The first four are 6, 28, 496, and 8128. ...
1-3 Real Numbers and the Number Line
... Graphing and Ordering Real Numbers What is the order of 3.5, −2.1, 9, ...
... Graphing and Ordering Real Numbers What is the order of 3.5, −2.1, 9, ...
Each equation contains a letter representing the unknown. Find the
... Lessons 1 and 2 focus on the commutative property. This property helps students recognize, for example, that if they know 3 × 6 = 18, then they also know 6 × 3 = 18. Lesson 3 introduces the use of a letter to represent unknown values in equations. You can expect to see homework that asks your child ...
... Lessons 1 and 2 focus on the commutative property. This property helps students recognize, for example, that if they know 3 × 6 = 18, then they also know 6 × 3 = 18. Lesson 3 introduces the use of a letter to represent unknown values in equations. You can expect to see homework that asks your child ...
10 - Faculty
... Remember that integers can be positive, negative, or zero. o There are three different situations when adding: When both numbers have the same sign; OR, when both numbers have opposite signs; OR, if either number is zero just employ Addition Property of Zero! o Recall: Addend + Addend = Sum ...
... Remember that integers can be positive, negative, or zero. o There are three different situations when adding: When both numbers have the same sign; OR, when both numbers have opposite signs; OR, if either number is zero just employ Addition Property of Zero! o Recall: Addend + Addend = Sum ...
SRWColAlg6_0P_02
... Property 4. • Instead, we rewrite the fractions so that they have the smallest common denominator (often smaller than the product of the denominators). • Then, we use Property 3. ...
... Property 4. • Instead, we rewrite the fractions so that they have the smallest common denominator (often smaller than the product of the denominators). • Then, we use Property 3. ...
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.