Transcript Real Numbers and the Number Line

Real Numbers and the Number
Line
Chapter 1 Section 3
Objective
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Students will classify, graph and compare
real numbers
Students will find and estimate square roots
Square Root
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A number a is a square root of a number b if
if a2 = b
Radicals
Radical Symbol √
A Radicand is the number under the radical
symbol (sometimes called square root sign)
A “radical” is just a number written in the form
of a radical symbol and a radicand.
Turn to Page 17…
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Look at Problem 1
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Try the “Got It” problem for that example.
Perfect Square
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When the square root of a number comes
out to be a whole number then the number is
considered a perfect square.
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How many perfect squares can you name?
On page 17…
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Look at Problem 2…
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Try the “Got It” problem for that example.
Set
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A well defined collection of objects
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Sets are useful to classify numbers and place
them in similar categories.
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Each part of the set is called an “element”
A “subset” is a particular group of elements
of a set.
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Real Number System
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A set of numbers including:
Rational Numbers
Natural Numbers
Whole Numbers
Integers
Irrational Numbers
Rational Number
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Any number than can be written in the form
a/b where a and b are integers and b is not
equal to zero.
In decimal form, is either a terminating
decimal or a repeating decimal.
Natural Number
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These are the counting numbers
{1,2,3,…}
Whole Numbers
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Natural numbers and 0
{0,1,2,3,…}
Integers
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Whole Numbers and their opposites
{…-3,-2,-1,0,1,2,3,…}
Irrational Numbers
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Does Not fit into any of the above categories.
Cannot be written as fractions
As decimals they are non-terminating or
repeating.
Inequality
A mathematical sentence that compares the
values of two expressions using an inequality
symbol.
< means less than
> Means greater than
≤ Means less than or equal to
≥ Means greater than or equal to
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On page 19…
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Look at Problem 4 and 5
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Try the Got It problems for these examples.
Turn to Page 20
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Try problems #1-8 on your own.
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Raise your hand when you are finished.