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FMP10 Chapter 3Vocabulary
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prime number List the all prime numbers less
than 30
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
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Is 1 a prime number?
Nope. The first prime number is 2.
2 is the only even prime number.
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multiples
Write the first 12 multiples of 7
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
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Factor
List the factors of 24
1, 2, 3, 4, 6, 8, 12, 24
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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
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Prime factorization
Factor 24 into its prime factors
2 x 2 x 2 x 3or
23 x 3
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Composite number
Give an example of a composite number
24, 12, … Any number that is not primeor
a whole number that has more than two factors
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Factor tree
Factor 60 using a factor tree
605 x 125 x 4 x 35 x 2 x 2 x 3
It's an upside down tree
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Factor tree for 6060
12
3
5
2
4
2
The “leaves” become a list of prime factors
60 = 5 x 3 x 2 x 2
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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
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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
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squaring
Find the square 9
92 = 81
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Square root
Find the square root of 4
4 = 2
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2, -2.1, ¼, 36
Rational number
Which number(s) are rational?
2, -2.1, 5, , ¼, 36, 1.010010001...
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Perfect cube
Name the first 5 perfect cubes.
1, 8, 27, 64, 125
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Cube root
What is the cube root of 64?
4 because 4 x 4 x 4 = 64
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radicand
Name the radicand expression:
64
The index would be 2 for the square root
64
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radical
Give an example of a radical.
52
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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
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Factor by decomposition
Huh?
New for Math 10 See Lesson 3.6
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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 + 9cp: 9 is a perfect square because 3 x 3 = 9
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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
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The end
Nov 2010