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Different Number Systems
Different Number Systems

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Section 1.7: Properties of Real Numbers
Section 1.7: Properties of Real Numbers

... Associative Properties: If you have to add three numbers, you can add the first two first and then add the third one, or you can add the last two first and then add the first one. The same applies for multiplication. Algebraic way of saying this:  a  b   c  a  b  c  ...
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... Additive Inverse: The sum of a number and its additive inverse is zero. Also called the opposite of a number. Example: 5 and -5 are additive inverses of each other. Irrational number: A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two int ...
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... many ways to represent the same rational number by quotients of integers 23 = 46 = −6 −9 , but we know how to deal with this. These we can add by finding the least common denominator, multiply, divide, and subtract. Additionally, there is a number 0 such that 0 + pq = pq , and an number 1 which when ...
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Targets Term 2 - South Marston C of E Primary

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2. - Glencoe

... The absolute value of a number a is its distance from zero on a number line and is represented by a . Example: The absolute value of -2 is 2, or −2 = 2. ...
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PDF

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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.
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