Power and exponent are some× used interchangeably. For example, 342 = (3 × 102 ) + (4 × 101) + (2 × 10).
a letter used to represent a quantity that can change. real number Any rational or irrational number. STUDY. This is only true for multiplication and addition.
mean (arithmetic) The average of a number of items in a group (the total items divided by the number of items). improper fraction A fraction in which the numerator is greater than the denominator; for example, 3/2. ratio A comparison between two numbers or symbols; may be written x:y, x/y, or x is to y. rational number An integer or fraction such as 7/8 or 9/4 or 5/1. commutative property The order of elements does not make any difference in the outcome. combinations The total number of independent possible choices. Identifying Divisibility by Looking at the Final Digits. the property that multiplies everything inside by the parenthesis by what's outside the parenthesis, used to describe an equation with no solution, A number that can be written as a fraction. Full curriculum of exercises and videos. dependent events When the outcome of one event has a bearing or effect on the outcome of another event. identity element for multiplication 1 Any number multiplied by 1 gives the original number. decimal fraction Fraction with a denominator 10, 100, 1,000, and so on, written using a decimal point; for example, .3 and .275. decimal point A point used to distinguish decimal fractions from whole numbers. greatest common factor The largest factor common to two or more numbers. A decimal in which one or more digits repeat infinitely. Flashcards.
Key Concepts: Terms in this set (30) a letter used to represent a quantity that can change. a mathematical sentence that shows that two expressions are equal. Spell. Pre-Algebra Vocabulary Terms. For example, 5 is the square root of 25; √25 = 5. tenth The first decimal place to the right of the decimal point. positive number A number greater than zero. probability The numerical measure of the chance of an outcome or event occurring. One number follows another in some defined manner. associative property Grouping of elements makes no difference in the outcome. a mathematical sentence that shows that two expressions are equal, to replace a variable with another number, operations that undo each other; opposite, A common multiple of the denominators of two or more fractions, a number made up of a whole number and a fraction, To write a fraction or expression in simplest form, a number multiplying a variable (the number in front of the variable). cube The result when a number is multiplied by itself twice. square root A number that when multiplied by itself gives you the original number; its symbol is √. For example, look at the following expression: The first three terms are algebraic terms, and the last term is a constant. order of operations The priority given to an operation relative to other operations. The first three terms are algebraic terms, and the last term is a constant. Algebra 2, by James Schultz, Wade Ellis Jr, Kathleen Hollowelly, and Paul Kennedy. CliffsNotes study guides are written by real teachers and professors, so no matter what you're studying, CliffsNotes can ease your homework headaches and help you score high on exams.
circumference The distance around a circle; equals 2 × π × the radius or π × the diameter (C = 2πr or πd). All rights reserved. mixed number A number containing both a whole number and a fraction; for example, 5½. Match. For example, .7 is seven-tenths. fraction symbol that expresses part of a whole and consists of a numerator and a denominator; for example, 3/5. lowest common denominator The smallest number that can be divided evenly by all denominators in the problem. even number An integer (positive whole numbers, zero, and negative whole numbers) divisible by 2 (with no remainder). A mathematical phrase that contains operations, numbers, and/or variables. Hate Pre-Algebra? denominator The bottom symbol or number of a fraction. range The difference between the largest and the smallest number in a set of numbers. For example, 5 is to 4 as 10 is to 8, or 5/4 = 10/8. 4 × 4 × 4 = 43, reads "four to the third power" or "the third power of four." Write. common multiples Multiples that are the same for two or more numbers. All these skills are important for solving equations. Numbers that cannot be expressed as a ratio of two integers. place value The value given a digit by the position of a digit in the number. complex fraction A fraction having a fraction or fractions in the numerator and/or denominator. Mark Zegarelli is the author of many successful For Dummies titles on math, logic, and test prep topics. For example, multiplication is performed before addition. common denominator A number that can be divided evenly by all denominators in the problem. reducing Changing a fraction into its lowest terms. invert Turn upside down, as in "invert 2/3 = 3/2.". numerator The top symbol or number of a fraction. rounding off Changing a number to the nearest place value as specified; a method of approximating. When it doesn’t have a variable, it’s called a constant. All whole numbers (both positive and negative) and zero. Confused by Pre-Algebra?
exponent A small number placed above and to the right of a number; expresses the power to which the quantity is to be raised or lowered. As you can see, in algebra, constant is just a fancy word for number. Any number that can be written as a fraction x/y with x a natural number and y an integer. permutations The total number of dependent choices. For example, 6 is a factor of 24. factor (verb) To find two or more quantities whose product equals the original quantity. Bored with Pre-Algebra? Geometry, by Ron Larson, Laurie Boswell, and Lee Stiff Although a significant effort was made to make the material in this study guide original, some irrational number A number that is not rational (cannot be written as a fraction x/y, with x a natural number and y an integer); for example, √3 or π. least common multiple The smallest multiple that is common to two or more numbers. distributive property The process of distributing a number on the outside of the parentheses to each number on the inside; a(b + c) = ab + ac. Terms are really useful to know about because you can follow rules to move them, combine them, and perform the Big Four operations on them. brackets Grouping symbols [ ], used after the use of parentheses. power A product of equal factors. Test. cube root A number that when multiplied by itself twice gives you the original number; its symbol is 3√. number series A sequence of numbers with some pattern. mode The number appearing most frequently in a group. weighted mean The mean of a set of numbers that have been weighted (multiplied by their relative importance or × of occurrence). closure property When all answers fall into the original set.
He holds degrees in both English and math from Rutgers University and is the founder of SimpleStep Learning, an educational website (https://simplestep.co). associative property Grouping of elements makes no difference in the outcome.
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