Transcript 2-7 Square Roots and Real Numbers Objectives: The student will be

Warm Up
• Find each quotient
1. -98.44/-4.6
2. -7 divided by 3/5
3. -3/4 divided by 12
Answers
• 21.4
• -35/3
• -1/16
2-7 Square Roots and
Real Numbers
Objectives:
The student will be able to:
1. find square roots
2. classify and order real numbers
A square root is one of two equal
factors of a number.
If x2 = y then x is a square root of y.
In the expression 64 ,
is the radical sign and
64 is the radicand.
What numbers are perfect squares?
1•1=1
2•2=4
3•3=9
4 • 4 = 16
5 • 5 = 25
6 • 6 = 36
49, 64, 81, 100, 121, 144, …
1. Find the square root: 64
8
2. Find the square root:  0.04
-0.2
3. Find the square root:  121
±11
25
4. Find the square root:  81
5

9
5. Use a calculator to find  46.5 .
Round the decimal answer to the
nearest hundredth.
 6.82
Rational numbers can be written
as terminating or repeating
decimals, or fractions.
Irrational numbers cannot be written
as terminating or repeating decimals,
or fractions.
Examples: 3
24
Note: 3 and 24 are not perfect squares
The set of real numbers consists of
the set of rational numbers and the
set of irrational numbers.
Real Numbers
Rational Numbers
Integers
Whole
Numbers
Natural
Numbers
Irrational Numbers
Examples:
Name the set or sets to which real
number belongs.
1.
17
3.
2.
1
6
4. -327
169
1.
17
2.
1
6
3.
169
irrational
rational
natural number, whole
number, integer, rational
number
4. -327 integer, rational number
You can write a set of real numbers
in order from greatest to least or
least to greatest. To do so, find a
decimal approximation for each
number in the set.
12
, 6 , 2.4
5
Write
and
from least to greatest.
61
25
12 61
, , 2.4, 6
5 25
in order