Download Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook

Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
February 04, 2016
Number Line, Absolute Value, Opposite, Ordering from Least to Greatest
Absolute Value of a number is its distance from 0 on a number line. ‐ 4 = 4
Always a positive number
Numbers increase in value as they move right
Unit
space space
­2
­3
­4
­5
space space
0
­1
Negative Numbers
less than zero
2
1
3
5
4
Positive Numbers
greater than zero
Origin
Opposites are numbers the same distance from zero (‐5 and 5).
Switch the symbol
­5 to 5 number line
Absolute Value of a number is its distance from 0 on a number line. ‐ 4 = 4
Absolute Value is always positive
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What is the absolute value of the following;
­13 ____ ­6 _____ 5____ 6____ 15 ___
Think about adding and subtracting absolute value !!!!!!!!
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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Ordering from Least to Greatest
2, -3, 7, 18, -5, 9, -11, 5, 4
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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The definition of the set of rational
numbers is the set of all numbers that can
be written as a , where a and b are integers
b
and b = 0.
-2 = -2
1
a = -2, and b = 1
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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The diagram shows the different sets of
numbers you have encountered in your
mathematical experiences.
Rational
Integer
Whole
Natural
Natural numbers are a subset of whole numbers. Whole numbers are a subset of integers. Integers are a subset of rational numbers. Feb 3­7:25 AM
Natural Numbers
Examples 1, 2, 3, …
Description Counting numbers
Counting and Natural Numbers are the
same!!!
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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Whole Numbers
Examples
Description
0, 1, 2, 3, …
Natural numbers and 0
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Integers
Examples
Description
… , -3, -2, -1, 0, 1, 2, 3, …
Whole numbers with their
opposites
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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Rational Number
2, 0, 2 , 2, 6.5
-6.5, -2,- 3
3
Examples
Description
Integers and fractions, including repeating and
terminating decimals, with their opposites
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The Density Property states that between any two
rational numbers there is another rational number. The
property is not true for natural numbers, whole numbers,
or integers. For example, there is no integer between -5
and -6. There is no whole number or natural number
between 12 and 13.
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increase to left 0 increase to right
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