The following numbers are [b]integers[/b]:[br][br]... ... ..., -3, -2, -1, 0, 1, 2, 3, ... ... ...[br][br]The absolute value of an integer is its distance from the origin on the number line. It is denoted by a pair of vertical bars surrounding the number. For example:[br]|3| = 3.[br]|-3| = 3.[br]|0| = 0.[br]|2+3| = 5.[br]|2-3| = 1.
Drag the blue circle to change the number, shown in red.[br]The absolute value of that number is shown in black.
Are absolute values always positive?[br][br]Can absolute values be negative? Be zero?[br][br]When is a number equal to its absolute value?[br][br]When are a number and its absolute value opposites?[br][br]Which numbers have absolute value 5? -5? 0?
[i]Are absolute values always positive?[/i][br]No: Absolute value of 0 is 0. |0| = 0.[br][br][i]Can absolute values be negative? Be zero?[/i][br]Absolute values cannot be negative.[br]They can be zero: |0| = 0.[br][br][i]When is a number equal to its absolute value?[/i][br]If a number is positive or zero. In other words, if this number is [b]nonnegative[/b].[br][br][i]When are a number and its absolute value opposites?[/i][br]If a number is negative or zero. In other words, if this number is [b]nonpositive[/b].[br]Remember that zero is its own opposite.[br][br][i]Which numbers have absolute value 5? -5? 0?[/i][br]5 and -5 have absolute value 5.[br] |5| = |-5| = 5.[br]No number has absolute value -5, because absolute values are nonnegative.[br]0 has absolute value 0.[br] |0| = 0.
Rational numbers[br]Irrational numbers[br]Positive and Negative Numbers, Zero[br]Square and square root
[Source] https://www.geogebra.org/material/simple/id/p65jeA5w[br][by] VTMike[br][br]Absolute value is a function that "take away the sign" of a number. It is useful in times where you need to find the [b]nonnegative difference[/b] of two numbers. For example, to find the difference between two points [i]a[/i] and [i]b[/i] on the number line, all you need is |[i]a[/i] - [i]b|.[/i]
7.NS.1[br]7.NS.2[br]7.NS.3[br]