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6_4RationalExponents
6_4RationalExponents

... Rational Exponent: Another way to write a radical expression. Like the radical form, the exponent form always indicates the principal root. The word exponent comes from the Latin word meaning “place outside.” Examples: ...
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Document
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... Step 3 In order to get the variable by itself, you must cancel out the 3 negative integer chips with the variable. Use zero pairs to remove the chips by adding three positive integer chips to the left side of the mat. Whatever you add on one side of the mat, add on the other side of the mat. This is ...
Lecture 22 - Duke Computer Science
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... convention, is reflected in the last recorded digit of any measured quantity. If several people measure the same distance with a ruler, their measurements will probably differ in the last digit. However, these measurements will cluster around the true value. Some will be equal to the true value, som ...
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... difference of two squares (diferencia de dos cuadrados)  A polynomial of the form ​a2​ ​- ​b2​ ​, which may be written as the product (a + b)(a - b). expression (expresión)  A mathematical phrase that contains operations, numbers, and/or variables. factor (factor)  A number or expression that is mul ...
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you must memorize these!

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From routings to perfect matchings

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Lecture 23
Lecture 23

... A real number R is computable if there is a (finite) program that prints out the decimal representation of R from left to right. Thus, each digit of R will eventually be output. ...
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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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