Transcript CH03 vocab - sct

FMP10 Chapter 3
Vocabulary
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prime number
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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?
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Nope.
The first prime number is 2.
2 is the only even prime number.
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multiples
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Write the first 12 multiples of 7
7, 14, 21, 28, 35, 42, 49, 56, 63,
70, 77, 84
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Factor
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List the factors of 24
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1, 2, 3, 4, 6, 8, 12, 24
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Factor pairs
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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
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Prime factorization
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Factor 24 into its prime factors
2x2x2x3
or
23 x 3
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Composite number
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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
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Factor tree
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Factor 60 using a factor tree
60
5 x 12
5x4x3
5x2x2x3
It's an upside down tree
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Factor tree for 60
60
5
12
3
4
2
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2
The “leaves” become a list of prime
factors
60 = 5 x 3 x 2 x 2
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Greatest common factor
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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
60What is the least common multiple
of 12 and 20?
Multiples of
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12: 12, 24, 36, 48, 60, 72, 84,
96, 108, 120, 132, 144, ...
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20: 20, 40, 60, 80, 100, 120,
140, 160, 180, 200, 220, ...
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Common multiples: 60, 120,
180, ...
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60 is the lowest of the common
multiples
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squaring
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Find the square 9
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92 = 81
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Square root
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Find the square root of 4
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4 = 2
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Rational number
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Which number(s) are rational?
2, -2.1, 5, , ¼, 36,
1.010010001...
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2, -2.1, ¼, 36
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Perfect cube
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Name the first 5 perfect cubes.
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1, 8, 27, 64, 125
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Cube root
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What is the cube root of 64?
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4 because 4 x 4 x 4 = 64
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radicand
Name the radicand expression:
64
64
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The index would be 2 for the
square root
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radical
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Give an example of a radical.
5 2
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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
th root
 Index 4 means 4
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Factor by
decomposition
Huh?
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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 + 9
cp: 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?
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Difference means subtraction
4x2 and 9x2 are squares, that is
(2x)2 and (3x)2
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The end
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Nov 2010
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