Download square root

Do Now 9/24/09
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Take out your HW from last night.
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Text p. 99-100, #14-24 even, #32-50 even
Copy HW in your planner.
 Text p. 113, #4-40 even
 Cumulative Test “open-book & notes” Chapters 1-2 tomorrow
 Chapter 2 TEST Wednesday
A= 36
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A = 6²
Get your calculator from the back of the room. In your journal answer
the following questions regarding the figures below:
A= 16 A = 4²
What is the area for each figure?
What are the dimensions for each
figure?
Write an equation for area of the
figure?
Can you think of an equation
for ONE side of the figure?
6
4
4
6
Homework
Text p. 99-100, #14-24 even and 32-50 even
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14) -2w² - 7w
16) 3y² - 18y
18) -3/4p + 3/4
20) 5/6r² - 5/6r
22) terms: 9, 7y, -2, -5y; like terms: 9 & -2, 7y & -5y;
coefficients: 7 & -5; constants: 9 & -2
24) terms: -3y², 3y², -7, 9; like terms: -3y² & 3y², -7 & 9;
coefficients: -3, 3; constants: -7, 9
Homework
Text p. 99-100, #14-24 even and 32-50 even
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32) 6 – 4c
34) 14t + 4
36) -5v – 6
38) 30 – 4z
40) P = 2v + 16; A = 5v +15
42) P = 2x + 5.4; A = 2.1x + 1.26
44) $19.95
46) $74.50
48) 3(x-2) – (x+10); 2x – 16
50) s = -a + 60; 58
Objective
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SWBAT find square roots, and compare
real numbers
Section 2.7 “Find Square
Roots and Compare Numbers”
If b² = a then
b is the square root of a.
The SQUARE ROOT of a number is
denoted by the symbol
, which
is called a radical.
9 3
radicand
Square Roots
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All positive real numbers have two square roots, a
positive and negative square root.
The symbol  is read as “plus or minus” and
refers to both the positive and negative square
root.
 9  3
 16  4
100  10
The square of an integer is called a perfect square.
10  100
2
8  64
2
(9) 2  81
Not PERFECT???
10  ?
The square root of a whole number that is NOT a perfect
square is an IRRATIONAL
NUMBER.
numbers that cannot be written as a
quotient (fraction, ratio) of two integers
and the decimal neither terminates nor
repeats.
To find the square root of a
number that is not a perfect square
estimate or use a calculator to find the
square root.
10  3.162276601...
Evaluate each square root. Round your roots to
the nearest hundredth.
1) 841
2)  103
3)  6
2)  103
 10.15
3)  6
 2.45
SOLUTIONS
1) 841
 29
Use the
button on
your calculator for
square roots of numbers.
Approximate each square root to the nearest integer.
1) 80
2)  122
3)  3
2)  122
 11
3)  3
 2
SOLUTIONS
1) 80
9
To approximate a square, think
the closest perfect square to the
number under the radical sign.
“Real Numbers”
Rational Numbers
numbers that can
represented as a
ratio or fraction
a
,b  0
b
Real Numbers
Rational Numbers
Irrational Numbers
Integers
Irrational Numbers
√2 =1.414213…
Integers
-3,-2,-1, 0,1,2,3…
Whole Numbers
0,1,2,3,4,5…
Whole
Numbers
-√14=-3.74165…
Homework
Text p. 113, #4-40 even
Chapter 2 TEST
Section 2.1- Integers and Rational Numbers
Section 2.2- Adding Real Numbers
2
2 .7  (  )
10
Addition Properties
18  (2  3)  18  (3  2)
Section 2.3- Subtracting Real Numbers
 10  (3)
Section 2.4- Multiplying Real Numbers
Properties of multiplication
(8  3)  2  8  (3  2)
Chapter 2 Test
Section 2.5- The Distributive Property
Use the distributive property to write an equivalent expression
2(2x+7)
Section 2.6- Dividing Real Numbers
Simplify the expression
35  28 x
7
Section 2.7- Square Roots
 81