Download Lesson 0-2 Notes Real Numbers CCSS N

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Transcript
Lesson 0-2 Notes
Real Numbers
CCSS N-RN.3 Use properties of rational and irrational numbers.
SPI 3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
numbers.
Present Target
Classify real numbers.
Order and graph a set of rational numbers
on a number line.
Future Target
Graph real numbers as solutions to
equations and inequalities.
Find square roots as solutions to quadratic
equations.
Simplify radical expressions.
Real Numbers:
Irrational Numbers:
Rational Numbers:
Integers:
Whole Numbers:
Natural Numbers:
Ex 1: Place each number in the
appropriate section of the diagram.
a. 0
b. -21
c. √2
d. 275
e. .25
f. − 1⁄2
A _________________________________________________ is one of two equal factors of a number.
ex: the square root of 81 is ______, or √
=______
A _______________________________________________________ has a square root that is a
rational number.
ex: 81 is a perfect square. Name 3 other perfect squares. ________, ________, ________
Ex 2: Circle each set(s) to which the real number belongs.
a. -327
irrational
rational
integer
whole
natural
9
10
irrational
rational
integer
whole
natural
b.
c.
121
irrational
rational
integer
whole
natural
d.
17
irrational
rational
integer
whole
natural
Ex 3: Graph each set of numbers on a number line. Then order them from least to greatest.
3 1 7
1
Ex. { , - , ,-1 }
4 4 4
2
3
Ex. { 25, 4.6, 15, 4 }
8