Negative Numbers 11-1
On a horizontal number line we use negative numbers for the coordinates of points to the left of zero. We denote the number called ‘negative four’ by the symbol -4. The symbol -4 is normally read ‘ negative 4’ but we can also say ‘ the opposite of 4.’
The graphs of 4 and -4 are the same distance from 0—but in opposite directions. Thus they are opposites. -4 is the opposite of 4.
The opposite of 0 is 0
Absolute Value is a distance concept. Absolute value is the distance of a number from 0 on a number line. The absolute value of a number can NEVER be negative!!
Counting (also known as Natural) numbers: 1, 2, 3, 4, ….
Whole numbers 0, 1, 2, 3, 4….
Integers are natural numbers and their opposites AND zero
…-4, -3, -2, -1, 0, 1, 2, 3, 4….
The opposite of 0 is 0.
The integer 0 is neither positive nor negative.
The farther we go to the right on a number line--- the bigger the number. We can compare two integers by looking at their position on a number line.
if x < 0 what do we know? x is negative number
if x > 0, what do we know? x is a positive number
We have been practicing representing integers by their graphs, that is, by points on a number line. Make sure that your number line includes arrows at both ends and a line indicating where zero falls on your number line. The graph of a number MUST have a closed dot right on the number line at that specific number. Please see our testbook page 366 for an accurate example.
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