Download 1 - Humble ISD

Chapter 1 Section 5 pages 32 - 37
HW/CW: page 35 #’s 2-5, 6, 11-14, 20-26, 45-51
Name: _______________________
Date: ___________ Period: ______
1.5 Square Roots and Real Numbers
square root – number that is multiplied by itself to form a product; the operations of squaring and finding a
square root are inverse operations
The radical symbol,
, is used to represent square roots.
Positive real numbers have two square roots.
Ex: (4)(4) = 42 = 16  16 = 4
(-4)(-4) = (-4)2 = 16  -
16
= -4
The positive square root is represented by
The negative square root is represented by perfect square – number whose positive root is a whole number
Ex: 22 = 4
 25 =  5
32 = 9
-
42 = 16 02 = 0
8
64
=
9
81
49 = -7
natural numbers – counting numbers starting with 1
whole numbers – natural numbers and zero
integers – whole numbers and their opposites: -3,-2,-1,0,1,2,3...
rational numbers – can be expressed in the form
a
b
where a and b are both integers and b  0:
1 7 9
, ,
2 1 10
terminating decimals – rational numbers in decimal form that have a finite number of digits: 1.5, 2.75, 4.0
repeating decimals – rational numbers in decimal form that have a block of one or more digits that repeat
continuously: 1.3, 0.6, 2.14, 6.27
irrational numbers – cannot be expressed in the form
a
. They include square roots of whole numbers that
b
are not perfect squares and non-terminating decimals that do not repeat:
Q: What kind of roots does a “geom-e-tree” have? _____________
2 , 11 ,
