braces Grouping symbols used after the use of brackets; signs { } used to represent a set. This is only true for multiplication and addition. For example, 2/3 is the reciprocal of 3/2. multiplicative inverse The reciprocal of a number. positive number A number greater than zero. For example, multiplication is performed before addition. common multiples Multiples that are the same for two or more numbers. integer A whole number, either positive, negative, or zero. 1st Quarter Vocabulary Review. When separating an algebraic expression into terms, group the plus or minus sign with the term that it immediately precedes. 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 Learn pre-algebra for free—all of the basic arithmetic and geometry skills needed for algebra. closure property When all answers fall into the original set. Key Concepts: Terms in this set (30) a letter used to represent a quantity that can change. 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. 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. combinations The total number of independent possible choices. PLAY. As algebraic expressions get more complex, they begin to string themselves out in more terms.

Pre-Algebra Vocabulary Terms. Coolmath Pre-Algebra has a ton of really easy to follow lessons and examples. reducing Changing a fraction into its lowest terms. 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. For example, look at the following expression: The first three terms are algebraic terms, and the last term is a constant.

As you can see, in algebra, constant is just a fancy word for number. canceling In multiplication of fractions, dividing the same number into both a numerator and a denominator. cube root A number that when multiplied by itself twice gives you the original number; its symbol is  3√. A term in an algebraic expression is any chunk of symbols set off from the rest of the expression by either addition or subtraction. Created by. lowest common denominator The smallest number that can be divided evenly by all denominators in the problem. mode The number appearing most frequently in a group. When a term has a variable, it’s called an algebraic term. Any number that can be written as a fraction x/y with x a natural number and y an integer.

Spell. denominator The bottom symbol or number of a fraction. For example, 37% is 37/100. Hate Pre-Algebra?

ElizabethWilkie TEACHER. cube The result when a number is multiplied by itself twice. 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. He holds degrees in both English and math from Rutgers University and is the founder of SimpleStep Learning, an educational website (https://simplestep.co). If the group has an even number of items, the median is the average of the two middle terms. © 2020 Houghton Mifflin Harcourt. For example, 5 is the square root of 25; √25 = 5. tenth The first decimal place to the right of the decimal point. This is only true for multiplication and addition. Any number multiplied by its multiplicative inverse equals 1. natural number A counting number; 1, 2, 3, 4, and so on. This is only true for multiplication and addition. complex fraction A fraction having a fraction or fractions in the numerator and/or denominator. Match. variable. As you can see, in algebra, constant is just a fancy word for number . invert Turn upside down, as in "invert 2/3 = 3/2.". number series A sequence of numbers with some pattern. permutations The total number of dependent choices. fraction symbol that expresses part of a whole and consists of a numerator and a denominator; for example, 3/5. All rights reserved. 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. STUDY. Power and exponent are some× used interchangeably. rounding off Changing a number to the nearest place value as specified; a method of approximating.

Numbers that cannot be expressed as a ratio of two integers. The set of numbers 1, 2, 3, 4, ... Also called counting numbers. mixed number A number containing both a whole number and a fraction; for example, 5½. composite number A number divisible by more than just 1 and itself. order of operations The priority given to an operation relative to other operations. associative property Grouping of elements makes no difference in the outcome. Pre‐Algebra Handbook Table of Contents Schaum’s Outlines Algebra 1, by James Schultz, Paul Kennedy, Wade Ellis Jr, and Kathleen Hollowelly. identity element for multiplication 1 Any number multiplied by 1 gives the original number. proportion Written as two equal ratios.

numerator The top symbol or number of a fraction. percent or percentage A common fraction with 100 as its denominator. For example, 5 is to 4 as 10 is to 8, or 5/4 = 10/8. Full curriculum of exercises and videos. Identifying Divisibility by Looking at the Final Digits. Homeschooling Pre-Algebra? A mathematical phrase that contains operations, numbers, and/or variables. 4 × 4 × 4 = 43, reads "four to the third power" or "the third power of four." commutative property The order of elements does not make any difference in the outcome. 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. square root A number that when multiplied by itself gives you the original number; its symbol is √. greatest common factor The largest factor common to two or more numbers. improper fraction A fraction in which the numerator is greater than the denominator; for example, 3/2. even number An integer (positive whole numbers, zero, and negative whole numbers) divisible by 2 (with no remainder). identity element for addition 0 Any number added to 0 gives the original number. power A product of equal factors.

mean (arithmetic) The average of a number of items in a group (the total items divided by the number of items). associative property Grouping of elements makes no difference in the outcome. For example, 6 is a factor of 24. factor (verb) To find two or more quantities whose product equals the original quantity. All whole numbers (both positive and negative) and zero. independent events When the outcome of one event has no bearing or effect on the outcome of another event. Their decimal expansions are nonending and nonrepeating. Learn. reciprocal The multiplicative inverse of a number. proper fraction A fraction in which the numerator is less than the denominator; for example, 2/3. real number Any rational or irrational number. median The middle item in an ordered group. For example, 342 = (3 × 102 ) + (4 × 101) + (2 × 10). A decimal in which one or more digits repeat infinitely. When it doesn’t have a variable, it’s called a constant. odd number An integer not divisible by 2. operation Multiplication, addition, subtraction, or division.

For example, 2/4 is reduced to 1/2. scientific notation A number between 1 and 10 and multiplied by a power of 10, used for writing very large or very small numbers; for example, 2.5 × 104. square The result when a number is multiplied by itself. prime number A number that can be divided by only itself and one. One number follows another in some defined manner. braces Grouping symbols used after the use of brackets; signs { } used to represent a set.. brackets Grouping symbols [ ], used after the use of parentheses.. canceling In multiplication of fractions, dividing the same number into both a numerator and a denominator. dependent events When the outcome of one event has a bearing or effect on the outcome of another event. brackets Grouping symbols [ ], used after the use of parentheses. Flashcards. weighted mean The mean of a set of numbers that have been weighted (multiplied by their relative importance or × of occurrence). Test. range The difference between the largest and the smallest number in a set of numbers. A mathematical notation indicating the number of times a quantity is multiplied by itself. Confused by Pre-Algebra? circumference The distance around a circle; equals 2 × π × the radius or π × the diameter (C = 2πr or πd).

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