Download Square Root 5/21/03

Exponents
and Powers
4
3
3×3×3×3
9 × 9
81
Write each product using exponent
form.
1. 11 × 11 × 11
11³
2. 15 × 15 × 8 × 8
15² × 8²
Evaluate each expression. Find the
standard form.
5. 3 squared
32
3×3
9
6. 42 × 33
4×4×3×3×3
16 × 27
432
Exponent
Form
Factor
Form
Standard
Form
25
2x2x2x2x2
32
72
7x7
49
43
4x4x4
64
104
10x10x10x10
10,000
53
5x5x5
125
Powers of ten
Place
Value
Exponent
Form
Factor
Form
Standard
Form
Ones
100
Tens
101
10
10
Hundreds
102
10x10
100
Thousands
103
10x10x10
1000
Ten Thousands
104
10x10x10x10
10,000
Hundred
Thousands
105
10x10x10x10x10
100,000
Millions
106
10x10x10x10x10x
10
1,000,000
1
Exponents tell how many times a number, called a
BASE, is used as a factor.
7² = 7 x 7
In 6 x 6, 6 is used as a factor twice. When you compute
6 x 6 or 6², you are finding the SQUARE of 6.
6
6
Numbers like 36, 49, and 625 are called
PERFECT SQUARES, because they are
the squares of whole numbers.
6
6
6² = 36
If 6 is the number you would square to
find 36, then 6 is the square root of 36.
√36 = 6
What number would you square or is the
square root of 9?
3
9
3
A radical sign ( √ ) is placed over a
number when the square root is requested.
Construct a Square Root Chart with your
partner showing the numbers that 1-20
are the square roots of!
Example
√1
Square
Root
1
√4
2
√9
3
√ 16
4
√ 25
5
What number would you square or is the
square root of the following numbers:
1) √ 81 =
9
(9x9)
2) √ 121 =
11
( 11 x 11 )
3) √ 49 =
7
4) √ 196 = 14
(7x7)
( 14 x 14 )