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FMP10 Chapter 3 Vocabulary Jump to first page prime number List the all prime numbers less than 30 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Jump to first page Is 1 a prime number? Nope. The first prime number is 2. 2 is the only even prime number. Jump to first page multiples Write the first 12 multiples of 7 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 Jump to first page Factor List the factors of 24 1, 2, 3, 4, 6, 8, 12, 24 Jump to first page Factor pairs Write all the factor pairs of 24. Note: a x b is the same as b x a 1 x 24 2 x 12 3x8 4x6 Jump to first page Prime factorization Factor 24 into its prime factors 2x2x2x3 or 23 x 3 Jump to first page Composite number Give an example of a composite number 24, 12, … Any number that is not prime or a whole number that has more than two factors Jump to first page Factor tree Factor 60 using a factor tree 60 5 x 12 5x4x3 5x2x2x3 It's an upside down tree Jump to first page Factor tree for 60 60 5 12 3 4 2 2 The “leaves” become a list of prime factors 60 = 5 x 3 x 2 x 2 Jump to first page Greatest common factor What is the greatest common factor of 12 and 30? GCF(12, 30) = 6 Factors of 12: 1, 2, 3, 4, 6, 12 30: 1, 2, 3, 5, 6, 10, 15, 30 6 appears in both lists & is the largest Jump to first page Least common multiple 60What is the least common multiple of 12 and 20? Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, ... 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, ... Common multiples: 60, 120, 180, ... 60 is the lowest of the common multiples Jump to first page squaring Find the square 9 92 = 81 Jump to first page Square root Find the square root of 4 4 = 2 Jump to first page Rational number Which number(s) are rational? 2, -2.1, 5, , ¼, 36, 1.010010001... 2, -2.1, ¼, 36 Jump to first page Perfect cube Name the first 5 perfect cubes. 1, 8, 27, 64, 125 Jump to first page Cube root What is the cube root of 64? 4 because 4 x 4 x 4 = 64 Jump to first page radicand Name the radicand expression: 64 64 The index would be 2 for the square root Jump to first page radical Give an example of a radical. 5 2 Jump to first page Index What is an index of the radical? It tells what root we are looking for: Index 2 means square root Index 3 means cube root th root Index 4 means 4 Jump to first page Factor by decomposition Huh? New for Math 10 See Lesson 3.6 Jump to first page Perfect square trinomial Why is the following a perfect square? 4x2 + 12x + 9 It is perfect because (2x + 3)2 or (2x + 3)(2x + 3) = 4x2 + 12x + 9 cp: 9 is a perfect square because 3 x 3 = 9 Jump to first page Difference of squares Why is 4x2 – 9x2 called a difference of squares? Difference means subtraction 4x2 and 9x2 are squares, that is (2x)2 and (3x)2 Jump to first page The end Nov 2010 Jump to first page