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7 Math Vocabulary # 9 (Decimals and Fractions).notebook 7th Grade Math Vocabulary Decimal Computation and Fractions Ahrens Dividend The number being divided in a division equation. 3 Dividend 8 24 Dividend Decimal and Fraction Glossary Dividend Quotient Divisor The number the dividend is divided by. A number that divides another number without a remainder. 3 25 8 = 3 R1 8 24 24 8 = 3 Divisor Must divide evenly. The number that is the result of dividing one number by another. 12 3 = 4 Quotient Divisor Divisor 3 x 5 = 15 3 is a factor of 15 3 and 5 are factors of 15 Factor Quotient 4 3 12 3 = 4 Quotient Repeating Decimal A whole number that can A whole number that multiplies with divide into another another number to number with no remainder. make a third number. 3= 5 12 Quotient Factor 15 24 8 = 3 24 8 = 3 Dividend R 5 1 3 16 3 is not a factor of 16 A decimal with a digit or group of digits that repeats endlessly. . 3 3 3... 3 1.0 0 0 9 _ __ 10 ___ 9 10 ___ 9 1 7 = 33 1 = 3 __ .3 __ .21 (.212121...) Repeating Decimal 1 7 Math Vocabulary # 9 (Decimals and Fractions).notebook Terminating Decimal Ahrens 7th Grade Math Vocabulary A decimal that ends and doesn't go on forever. . 3 3 3... 3 1.0 0 0 9 ___ 10 ___ 9 10 ___ 9 1 1/2 = .5 3/8 = .375 Fractions Terminating Decimal Fraction Glossary Algorithm Bar Model A stepbystep process to find a solution. A diagram that uses bars to show the relationship between two or more numbers. It's like a cooking recipe for mathematics. How to... Step 1: Step 2: Step 3: 24 + 12 = Add the ones then add the tens Whole Part Whole Part Part + Part = Whole Whole Part = Part Larger Amount Difference Large Small = Difference Large Difference = Small Algorithm Part One part Smaller Amount x # of parts Whole Bar Model Common Denominator Mixed Number A whole number that is a common multiple of all the denominators of a set of fractions. A number, greater than one, written as a whole number with a fraction. 1 3 3,6,9,12 1 4,8,12 4 LCD is 12 1 x 4 4 3 x 4 = 12 1x 3 + 4 x 3= 3 12 1 1 3 x 4 = 12 1 1 + 4 x 3 = 12 Common Denominator 2 1 3 Decimal 3 110 2.5 Number Improper 9 Fraction 7 Mixed Numbers 2 7 Math Vocabulary # 9 (Decimals and Fractions).notebook Ahrens Regroup Improper Fraction (Fractions) To write a whole number as a fraction equal to one to assist with subtracting. A fraction whose numerator is greater than its denominator. 4 3 All improper fractions are greater than 1. 4 3 1 1 3 = 3 1 5 = Regroup Complex Fraction Reciprocal A fraction whose numerator or denominator or both contain fractions. One of two numbers whose product is one. =3 1 5 2 3 2 = 1 3 5 1 5 1 2 13 =143 Improper Fraction 3 3 2 13 =13 + 3 4 = 13 1 5 2 3 Must be written as a fraction. 1 x 1 = 1 Number 1 is the reciprocal of 1. 2 x 12 1 = n 1 x = 1 n 1 Reciprocal Complex Fraction Reciprocal Cross Simplify Used to make operations with fractions easier. Divide the numerator of one fraction and the denominator of another fraction by their GCF. 1 5 15 20 GCF of 5 and 15 is 5. 3 1 153 51 20 = 20 Cross Simplify 3