Understanding Rational and Irrational Numbers in Mathematics
This guide explores key concepts in mathematics, focusing on rational and irrational numbers, their definitions, and properties. It covers scientific notation, perfect squares, and real numbers, along with essential formulas like the distance formula and slope intercept form. The importance of angles, polygons, and geometric figures such as prisms and right triangles is also discussed, providing a well-rounded understanding for students and educators alike. This resource is ideal for enhancing numerical and geometric literacy.
Understanding Rational and Irrational Numbers in Mathematics
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Presentation Transcript
Math Shawn
Rational number- a number that can be expressed exactly by a ratio of two integers.
scientific notation- a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power1385.62 written as 1.386 × 10 3
Perfect square- a rational number that is equal to the square of another rational number.
Irrational number- a number that cannot be exactly expressed as a ratio of two integers.
real numbers a rational number or the limit of a sequence of rational numbers, as opposed to a complex number.
Density Property- two rational numbers on a number line • Adjacent angles- angles that have a common ray coming out of the vertex
Coefficient- A numerical or constant quantity placed before and multiplying the variable in an algebraic expression • Distance Formula- creating a triangle and using the Pythagorean Theorem to find the length of the hypotenuse.
Domain- a function is the set of all possible input values (usually x), which allows the function formula to work • Hypotenuse- The longest side of a right triangle, opposite the right angle
Legs of a right Triangle- The sides adjacent to the right angle
Rational Number- an integer or a fraction • Range- The difference between the lowest and highest values.
Slope- Be inclined from a horizontal or vertical line; slant up or down • Scientific Notation- a way of writing numbers that accommodates values too
Prism- A solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. • Scatter plot- a type of mathematical diagram using Cartesian coordinates to display values for two variables for
Slope intercept form- algebraic equation in which each term is either a constant or the product of a constant and (the first power of)
absolute value-The magnitude of a real number without regard to its sign
polygon A plane figure with at least three straight sides and angles, and typically five or more.
factor • A circumstance, fact, or influence that contributes to a result or outcome.
exponent 1.A person who believes in and promotes the truth or benefits of an idea or theory. 2.A person who has and demonstrates a particular skill, esp. to a high standard.
Vertex • The pointy ends of a shape
parallogram • A four-sided plane rectilinear figure with opposite sides parallel.
quadrilateral • A four-sided figure.
octagon • A plane figure with eight straight sides and eight angles.
pentagon • A plane figure with five straight sides and five angles.
Right triangle • A triangle with a right angle.
