Transcript Les. 8 - Roots part 1

Bell Work
 Write each of the following as a decimal
or a fraction….
5
6
Remember to look at the # of digits in the repeater.
0.27
Roots
Lesson #8
Pg. 231
Warm Up
Simplify each expression.
1) 6²
36
2) 112
3) (–9)(–9)
81
4)
Write each fraction as a decimal.
0.4 6) 5
5) 2
5
9
7) –1 5
6
121
25
36
0.5
–1.83
Vocabulary
Square Root/Cube Root
2
Rational Numbers
3
or
Index of 2
Index of 3
Perfect Square/Perfect Cube
2 equal factors
multiplied together
3 equal factors
multiplied together
Natural Numbers
** Counting Numbers
** 1, 2, 3, 4, …∞
** Natural, Whole, Integers and any number
that can be put into a ratio (fraction)
* Repeating or Terminating decimals
Irrational Numbers
** Non – Repeating, Non – Terminating
decimals
Real Numbers

** Any number (value) on the number-line
Whole Numbers
Repeating Decimal (Rational Number)
Integers
Terminating Decimal (Rational Number)
** Counting Numbers plus zero
** 0, 1, 2, 3, 4, …∞
** Natural, and Whole plus Negatives
** - ∞… - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, …∞
1
 .333333...  .3
3
3
 .3
10
Evaluate expressions containing square and cube roots.
Classify numbers within the real number system.
The Real Number System
Every point (value) on the number line
Rational #s
• Can be written as a ratio
• Decimal that repeats or ends
Integers
• Tic marks on number line
• …-2, -1, 0, 1, 2…
Whole #s
0, 1, 2, 3…
Natural #s
1, 2, 3 …
Irrational #s
• Decimals
that do
not repeat
or end
• Can not
be written
as a ratio

What You’ll Learn in
Lesson #8
 Finding the square roots of perfect
squares
 Finding the cube roots of perfect cubes
 Solving equations involving squares and
cubes
Vocabulary
 Square Root
 Perfect Square
 Radical Sign
 Cube Root
 Perfect Cube
Square Root
 A square root of a number is one of its
two equal factors
64
25

36
 1.21
16
Cube Root
 A Cube root of a number is one of its
three equal factors
3
3
125
64
3
27
3
1000
HOMEWORK
All Groups
List the Perfect Squares from 1 thru 20
Pg. 235-236, 1 – 12, 15 – 21