Download Number Systems Algebra 1 Ch.1 Notes Page 34 P34 1­3

A11­3ExpRealNumb.notebook
November 05, 2015
Algebra 1
Ch.1 Notes Page 34
P34 1­3 Exploring Real Numbers
Sep 2­8:31 AM
Number Systems
Natural
Whole
Integers
Rational
1,2,3
0,1,2,3
­3, ­2, ­1, 0, 1, 2, 3
a/b (b ≠ 0) 2/3 ­5/6
Irrational
√2, π, ­√3
Real
All Rational and Irrational
Oct 9­7:11 AM
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A11­3ExpRealNumb.notebook
November 05, 2015
Counter Examples
A counter example is any example that proves a statement to be false.
1. All Whole numbers are Integers.
2. No Fractions are Whole numbers.
Oct 20­6:57 AM
Inequalities
a = b a is equal to b
a ≠ b a is not equal to b
a < b a is less than b
a < b a is less than or equal to b
a > b a is greater than b
a > b a is greater than or equal to b
Oct 20­7:02 AM
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A11­3ExpRealNumb.notebook
November 05, 2015
Putting Numbers in Order
Change Fractions to Decimals
Smaller Numbers are left on a number line.
Bigger Numbers are right on a number line.
A 2/3
B 1/4
C 4 D ­2
E ­3 F 3 G ­1/2
H ­1/3
Oct 20­7:10 AM
Opposites and Absolute Values
Opposites ­ Two numbers that are the same distance from zero, but in different directions.
3
­3
Absolute Value ­ Distance a number is from zero. It will always be a Positive Number.
| 3 |
| ­3 |
Oct 20­7:14 AM
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A11­3ExpRealNumb.notebook
November 05, 2015
Practice solving with Absolute Values
| ­2 | + | 6 ­ 4 |
| ­5 | x | 4 |
Oct 20­7:19 AM
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