16/11/10 FMP10 Chapter 3 Vocabulary

prime number List the all prime numbers less than 30 16/11/10 prime number List the all prime numbers less than 30 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

16/11/10 Is 1 a prime number? Nope. The first prime number is 2. 2 is the only even prime number.

multiples Write the first 12 multiples of 7 16/11/10 multiples Write the first 12 multiples of 7 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

16/11/10 Factor List the factors of 24 1, 2, 3, 4, 6, 8, 12, 24

16/11/10 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 3 x 8 4 x 6

Prime factorization Factor 24 into its prime factors 2 x 2 x 2 x 3 or 16/11/10 Prime factorization Factor 24 into its prime factors 2 x 2 x 2 x 3 or 23 x 3

Composite number Give an example of a composite number 16/11/10 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

Factor tree Factor 60 using a factor tree 16/11/10 Factor tree Factor 60 using a factor tree 60 5 x 12 5 x 4 x 3 5 x 2 x 2 x 3 It's an upside down tree

Factor tree for 60 The “leaves” become a list of prime factors 16/11/10 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

Greatest common factor 16/11/10 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

Least common multiple What is the least common multiple of 12 and 20? 16/11/10 Least common multiple What is the least common multiple of 12 and 20? 60 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

16/11/10 squaring Find the square 9 92 = 81

16/11/10 Square root Find the square root of 4 4 = 2

16/11/10 Rational number Which number(s) are rational? 2, -2.1, 5, , ¼, 36, 1.010010001... 2, -2.1, ¼, 36

Perfect cube Name the first 5 perfect cubes. 1, 8, 27, 64, 125 16/11/10 Perfect cube Name the first 5 perfect cubes. 1, 8, 27, 64, 125

Cube root What is the cube root of 64? 4 because 4 x 4 x 4 = 64 16/11/10 Cube root What is the cube root of 64? 4 because 4 x 4 x 4 = 64

radicand Name the radicand expression: 64 16/11/10 radicand Name the radicand expression: 64 The index would be 2 for the square root

16/11/10 radical Give an example of a radical.

Index What is an index of the radical? 16/11/10 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 Index 4 means 4th root

Factor by decomposition 16/11/10 Factor by decomposition Huh? New for Math 10 See Lesson 3.6

Perfect square trinomial 16/11/10 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

Difference of squares Why is 4x2 – 9x2 called a difference of squares? 16/11/10 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

16/11/10 The end Nov 2010