absolute value is always positive ... - mr. barnes's class
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Number line, Opposites, Absolute Value, Chapter 10 Notes.notebook
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5 to 5 number line
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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
Opposites are numbers the same distance from zero (‐5 and 5).
Origin Positive NumbersNegative Numbers
Numbers increase in value as they move right
Always a positive number
space
less than zero greater than zero
spacespace spaceUnit
Switch the symbol
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Absolute Value of a number is its distance from 0 on a number line. ‐ 4 = 4
Absolute Value is always positive
What is the absolute value of the following;
13 ____ 6 _____ 5____ 6____ 15 ___Think about adding and subtracting absolute value !!!!!!!!
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Ordering from Least to Greatest
2, -3, 7, 18, -5, 9, -11, 5, 4
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The definition of the set of rational numbers is the set of all numbers that can be written as , where a and b are integers and b = 0.
ab
-2 = -2 a = -2, and b = 11
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The diagram shows the different sets of numbers you have encountered in your mathematical experiences.
RationalInteger
Natural Whole
Natural numbers are a subset of whole numbers. Whole numbers are a subset of integers. Integers are a subset of rational numbers.
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Natural Numbers Examples 1, 2, 3, …
Description Counting numbers
Counting and Natural Numbers are the same!!!
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Whole Numbers
Examples 0, 1, 2, 3, …
Description Natural numbers and 0
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Integers
Examples … , -3, -2, -1, 0, 1, 2, 3, …
Description Whole numbers with their
opposites
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Rational Number
Examples -6.5, -2, 0, 2, 6.523 3
2, ,-
Integers and fractions, including repeating and
terminating decimals, with their opposites
Description
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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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10 to 10 number line
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0 increase to rightincrease to left
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