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Square Roots, Rational & Irrational Numbers, Volume

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Simplify. 1.) 8² 2.) 12² 3.) 2² 4.) 7² 5.) 4² 6.) 5²

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Simplify. 1.) 3² 2.) 1² 3.) 10² 4.) 6² 5.) 9² 6.) 11²

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A number that is the square of an integers a perfect square The inverse of squaring a number is finding a square root An irrational number is a number that cannot be written as a ratio of two integers A rational number is any number that can be written in the form of a/b(they can be written as fractions)

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Negative numbers can be rational numbers Fractions are rational numbers Repeating and terminating decimals are rational numbers The square root of a number can be rational as long as it is a perfect square

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Simplify each square root. 1.) √4 2.) √9 3.) √121 Simplify each square root. 4.) √30 5.) √45 6.) √99

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Identify each number as rational or irrational. 1.) √14 2.) √100 3.) ….. 4.) ….

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Textbook pgs #1-34

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Find the square root for each of the following. 1.) √366.) √196 2.) √49 7.) √64 3.) √81 8.) √121 4.) √225 9.) √16 5.) √ ) √144

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Find the area the circles below with the given radii and diameters. 1.) r = 4 cm 2.) d = 10 m 3.) d = 8

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A three-dimensional figure, or solid, is a figure that does not lie in a plane A flat surface shaped like a polygon is called a face Each segment formed by the intersection of two faces is an edge A prism is a three-dimensional figure with two parallel and congruent polygonal faces, called bases The height of a prism is the length of a perpendicular segment that joins the bases

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A cube is a rectangular prism with faces that are squares A cylinder has two congruent parallel bases that are circles A cone has one circular base and one vertex A pyramid is a three-dimensional figure with triangular faces that meet at one point, a vertex, and a base that is a polygon A sphere is the set of all points in space that are the same distance from a center point

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Textbook pg. 439 #1-12

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The volume of a three-dimensional figure is the number of cubic units needed to fill the space inside the figure A cubic unit is a cube with edges one unit long

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Volume of a Rectangular Prism V = area of base ∙ height = length ∙ width ∙ height ***Area = base ∙ height or length ∙ width Volume of a Cylinder V = area of base ∙ height ***Area(of circle) = πr²

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Find the volume of each of the following. 1.)2.) 17 cm 20 cm14 cm 8cm

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Find the volume of each of the following. 3.)4.) 7 m 8 m 2 in 6 in

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Textbook pgs #1-16 Evens Only

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Find the area of each of the following. 1.) circle r = 4 mm 2.) square one side = 12 in 3.) triangle b = 10 ft, h = 8 ft

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