Mathematics By: Terry Snow. Equations A statement that the values of two mathematical expressions are equal (indicated by the sign =).

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Presentation transcript:

Mathematics By: Terry Snow

Equations A statement that the values of two mathematical expressions are equal (indicated by the sign =).

Math Equations Definitions: An equation says that two things are equal. It will have an equals sign "=" like this: That equations says: what is on the left (x + 2) is equal to what is on the right (6) So an equation is like a statement "this equals that" Parts of an Equation So people can talk about equations, there are names for different parts (better than saying "that thingy there"!) Here we have an equation that says 4x - 7 equals 5, and all its parts:

Science Equations Definitions: Mathematics A written statement indicating the equality of two expressions. It consists of a sequence of symbols that is split into left and right sides joined by an equal sign. For example, = 10 is an equation. Chemistry A written representation of a chemical reaction, in which the symbols and amounts of the reactants are separated from those of the products by an equal sign, arrow, or a set of opposing arrows. For example, Ca(OH) 2 + H 2 SO 4 = CaSO 4 + 2H 2 O, is an equation.

Mass Definition:1. a body of coherent matter, usually of indefinite shape and often of considerable size: a mass of dough. 2. a collection of incoherent particles, parts, or objects regarded as forming one body: a mass of sand. Synonyms: assemblage, heap, congeries. 3. aggregate; whole (usually preceded by in the ): People, in the mass, mean well.mean 4. a considerable assemblage, number, or quantity: a mass of errors; a mass of troops. Synonyms: collection, accumulation, pile, conglomeration. 5. bulk, size, expanse, or massiveness: towers of great mass and strength. Synonyms: magnitude, dimension.

Volume In Science Definition: The amount of space occupied by a three- dimensional object or region of space. Volumes are expressed in cubic units. A measure of the loudness or intensity of a sound.

Distance The extent of space between two objects or places; an intervening space. 2. The fact or condition of being apart in space; remoteness. 3. Mathematics The length or numerical value of a straight line or curve. 4. a. The extent of space between points on a measured course. b. The length of a race, especially of a horserace. 5. a. A point or area that is far away: "Telephone poles stretched way into a distance I couldn't quite see" (Leigh Allison Wilson).

Order Of Operations For example, in mathematics and most computer languages multiplication is done first; in the expression × 4, the algebraic answer is 14. Parentheses, which have their own rules, may be used to avoid confusion, thus the above expression may also be rendered 2 + (3 × 4). From the introduction of modern algebraic notation, where juxtaposition indicates multiplication of variables, multiplication took precedence over addition, whichever side of a number it appeared on. [1] Thus × 5 = 4 × = 23. When exponents were first introduced, in the 16th and 17th centuries, exponents took precedence over both addition and multiplication, and could be placed only as a superscript to the right of their base. Thus = 28 and 3 × 5 2 = 75. To change the order of operations, originally a vinculum (an overline or underline) was used. Today we use parentheses. Thus, to force addition to precede multiplication, we write (2 + 3) × 4 = 20, and to force addition to precede exponentiation, we write (3 + 5) 2 = 64 [1]vinculum parentheses

Exponent The exponent of a number shows you how many times the number is to be used in a multiplication. It is written as a small number to the right and above the base number. In this example: 8 2 = 8 × 8 = 64

Rational Numbers 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2) 0.75 is a rational number (3/4) 1 is a rational number (1/1) 2 is a rational number (2/1) 2.12 is a rational number (212/100) -6.6 is a rational number (- 66/10) But Pi is not a rational number, it is an "Irrational Number". See: Irrational NumberIrrational Number

Irrational Numbers A real number that cannot be written as a simple fraction - the decimal goes on forever without repeating.