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Algebra 1 Words Living Math Dictionary By: Ashley Redd Miranda Hernandez Jeff Huff Lauren Diaz Absolute Value Distance of a number from zero on a number line. Example 1: 0 to -6= 6 Example 2: 0 to 27= 27 Accuracy How close an approximation is to an actual value. Example 1: 3.56 is about 4 Example 2: 1.001 is about 1 Addition The process of combining numbers. Example 1 : 18 + 6 = 24 Example 2 : 6 + 4 = 10 Additive Idenity A number you can add to any number to make it stay the same. Example 1: 6+0=6 Example 2: 32+0=32 Additive Inverse A number and it's oppisite. Example 1: -1 & 1 Example 2: -43 & 43 Algebra The study of equations using variables. Example 1: 3x+4x=23 Example 2: 2(5x3)- 4y= 57 Counting Numbers Counting Numbers Are Whole Numbers But Without The Zero. Example 1: 1, 2, 3, 4, 5.... Example 2: 6, 7, 8, 9, 10,...... Decimal A Fractions Whose Denominator Is A Power Of Ten And Whose Numerator Is Expressed By Figures That Are To The Right Of The Decimal Point. Division The process of ungrouping numbers to sort them. Example 1: 6÷2=3 Example 2: 10÷1/2=5 Equation A mathematical sentence built from expressions using one or more equal signs (=). Example 1: 5x+2b=4(6) Example 2: 3a+2b=7 Exponentiation Faster mutiplication. Example 1: x2 Example 2: 23= (2)(2)(2) Factors Numbers That Are Multiplied Together Is A Factor. Example 1: 5(5)= x Example 2: 42 (2)=x Fixed Not changing or moving. Example 1: 3x+5–3x= 5 The fixed number is 5 Example 2: -4y-6+4y= -6 The fixed number is -6 Greatest common factor The largest number that is a common divisor of a given set of numbers Example 1: 72 & 81 GCF= 9 Example 2: 12 & 24 GCF= 12 Integers Intergers Are Almost Like Whole Numbers Except They Also Include Negative Numbers. Example1: 1, 2, 3, 4. 5,... Example 2: -1, -2, -3, -4, -5,.... Irrational Numbers real number that cannot be written as a simple fraction. Example 1: 33.333 Example 2: 3.1456 Least common multiples The lowest multiple two factors have in common. Example 1: 15: 15, 30, 45, 60 20: 20, 40, 60 LCM= 60 Example 2: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 10: 10, 20, 30 LCM= 30 Mode The number that occurs the most often in a list. Example 1: 5 is the mode of 2,1,3,4,5,5,5 Example 2: 1 is the mode of 1,1,1,2,3,4 Multiplcation The Process Of Finding The Product Obtained By Repeated Additions Of A Quantity. Example 1 : 6(3) = 18 Example 2 : 8(2) = 16 Multipicative Identity Numbers you can mulitply to make number stay the same. Example 1: 9(1)=9 Example 2: 51(1)=51 Multiplicative inverse Number you can multiply to get back to the idenity. Example 1: 3(1/3)=1 Exmple 2: 15(1/15)=1 Negative A real number less than zero. Zero itself is neither negative nor positive. Example 1: -6 Example 2: -0.009 Perfect Squares Perfect squares are the production of a rational number multiplyed by itself. Example 1: Sqrt (49) =7 Example 2: Sqrt (64) =8 Positive number A real number greater than zero. Example 1: 2 Example 2: .0008 Rational Numbers A Rational Number Is Any Number That Can Be Expressed As The Quotient Or Fraction Of Two Intergers With The Denominator Not Equal To Zero. Example 1: - 3/4 Example 2: 9.5 Subtraction Process of combining a positive and negitive number. Example 1 : 10 - 6 = 4 Example 2 : 100 - 30 = 70 Simplify Rewrite an expression as simply as possible. Example 1: 2x+3x+5b-2b= 5x+3b Example 2: 4x+3n+4x+5b+2c= 8x+2n+5b+2c Variable A quantity that can change or that may take on different values. Variable also refers to a letter or symbol representing such a quantity Example 1: x=1 Example 2: a=3 Whole Numbers Whole Numbers Are All Numbers. Example: 1,2,3,4,.... X-intercept A point at which a graph intersects the x-axis. The x-intercepts of a function must be real numbers, unlike roots and zero. Example: