Download 9/26/11

9/26/11
EQ: What do I know about square roots?
Square root
-the opposite of squaring a number
Radical sign(
(-
) -is used to indicate the positive square root
) –is used to indicate the negative square root
Find a
Square root
64
Find the
- 121
Negative
Square root
Use square roots
to solve an equation
In calculator 2nd , x^2, 6, 4, = 8
In calculator -, 2nd, x^2, 1, 2, 1 = -11
t^2 = 25/36 Take the square root of each side.
t^2 = 25/36 OR - 25/36
T = 5/6 OR -5/6
*You have to take the positive and the negative square roots!
9/28/11
EQ: What do I know about the real number system?
Irrational numbers
-is a number that cannot be expresses as a/b, where
a and b are integers and b ≠ 0.
(√2 ≈ 1.414213562…
√3 ≈ 1.732050808…)
Real numbers
-the set of rational numbers and irrational numbers
together. (Rational numbers include integers,
whole and negative, and fractions and terminating,
and repeating decimals that are not integers.)
Classify numbers
Name all sets of numbers to which each real
Number belongs.
0.252525… This number has a repeating number
so it is a rational number.
√36
= 6, it is a whole number, an integer,
and a rational number.
-√7
≈ -2.645741311… Since the decimal
does not terminate or repeat, it is an
irrational number.
Estimate √6 and -√3 to the nearest tenth. Then
graph on a number line.
√6 ≈ 2.449489743… and -√3 ≈ -1.7320508080…
√6 ≈ 2.4 and -√3 ≈ -1.7 locate these on a number
line.
-√3
√6
.
.
←│———│———│———│———│———│———│——→
-3
-2
-1
0
1
2
3
Graph Real Numbers
Compare Real
Numbers
√7__2⅔
Write each number as a decimal.
2.645751311… __ 2.66666666…
√7 < 2⅔
9/29/11
EQ: What do I know about simplifying radical expressions?
Perfect Square
-an integer that is a square of an integer.
√9 = 3
√4 = 2
√64 = 8
Radical Expression
(3 * 3)
(2 * 2)
(8 * 8)
-an expression containing the radical sign.
Simplify Radical Find two numbers that can be multiplied to equal that
Expressions
number with one being the largest perfect square you
find.
√50 = √25 * √2 = 5√2
√80 = √5 * √16 = 4√5
√27 = √9 * √3 = 3√3