I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Sets of Real Numbers
what is the difference
-whole numbers
between whole numbers
-natural numbers
and natural numbers?
-integers
Vocabulary
Rational Numbers: _______ square, or _______
how do you know if a number
is irrational?
Irrational Numbers: not a _______ square, decimal
that doesn't _____ or have a _______
Square Root: a number when _______ by itself gives
the number _______.
describe how to tell what the square
root of a number is.
Examples:
4
25
121
I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Idenifying Irrational Numbers
-if not a perfect square inside square
how can I tell quickly if a number
root it is IRRATIONAL
is irrational?
Classify the following real numbers as rational or irrational
IRRATIONAL
RATIONAL
100
what are some examples of rational
3
__
4
.36666666
and irrational numbers?
-1.234234234
__
-5
13
12
___
5
37
I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Fraction Square Roots
1st: take square root of _______
how do you take the
square root of a fraction?
2nd: take ______ root of bottom
3rd: ________ if needed
√
9
__
36
√
1
__
4
16
9
100
25
√
25
__
144
36
2
I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Estimating Square Roots:
1st: identify the ______ perfect squares it lies _______
2nd: determine which one it is __________ to
3rd: write down __________
32
20
90
I can identify and order
rational and irrational
1.3 Real Numbers
what are four examples
of rational numbers?
what are two examples of
irrational numbers?
Rational Numbers
numbers
I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Finding Dimensions Given Area
1st: take the square root of area
if I know the area of a square object
how can I tell what the side length is?
Examples
Area is 121 square feet how long is a side length?
Area is 53 square inches, how long is side?
Area of a square garden is 144 square feet, how many feet
per side?
I can identify and order
rational and irrational
1.3 Real Numbers
numbers
Ordering Real Numbers
how do I order a set
1st: estimate any square roots or fractions
of rational numbers?
2nd: place in order
3rd: make sure in original form
les
p
m
a
Ex
10, √25, √81, 15, √4