Integers:
INTEGERSA Different Perspective
Integer: What is it?An integer is a whole number that can be
either greater than 0, called positive, or less than 0, called
negative. Zero is neither positive nor negative. Two integers that
are the same distance from the origin in opposite directions are
called opposites.
Integer: What is it?
Definitions
The number line goes on forever in both directions. This is
indicated by the arrows.
Whole numbers greater than zero are called positive integers.
These numbers are to the right of zero on the number line.
Whole numbers less than zero are called negative integers. These
numbers are to the left of zero on the number line.
Integer: What is it?The integer zero is neutral. It is neither
positive nor negative.
The sign of an integer is either positive (+) or negative (-),
except zero, which has no sign.
Integer: What is it?Two integers are opposites if they are each
the same distance away from zero, but on opposite sides of the
number line. One will have a positive sign, the other a negative
sign. In the number line above, +3 and -3 are labeled as
opposites.
You can visualize positive and negative integers using the
number line:
It is important to understand the number line because it shows
you that every number has an opposite.Examples2 is less than 5
because 2 lies to the left of 5 -1 is greater than -3 because -1
lies to the right of -3 -4 is less than 1 because -4 lies to the
left of 1 6 is greater than -2 because 6 lies to the right of
-2
Integer: What is it?What it IS!What it CAN be!What it is
NOT!
A whole numberA zero (0)A positive numberA negative numberNOT a
fractionA thing complete in itselfNumbers used in countingNOT a
decimal
Integers
Integer: Putting It To UseExample 1: Write an integer to
represent each situation: 10 degrees above zero = +10 a loss of 16
dollars = -16 a gain of 5 points = +5 8 steps backward = -8
Integer: Putting It To UseExample 2: Name the opposite of each
integer.-12 +12+21 -21 -17 +17 +9 -9
Integer: Putting It To UseExample 3: Name 4 real life situations
in which integers can be used?
Spending and earning money. Rising and falling temperatures.
Stock market gains and losses. Gaining and losing yards in a
football game.
Integer: SummaryIntegers are the set of whole numbers and their
opposites.
Whole numbers greater than zero are called positive
integers.
Whole numbers less than zero are called negative integers.
Integer: SummaryThe integer zero is neither positive nor
negative, and has no sign.
Two integers are opposites if they are each the same distance
away from zero, but on opposite sides of the number line.
Positive integers can be written with or without a sign.
Integer GamesCopy The LinkName of the
Gamehttp://www.funbrain.com/cgi-bin/nl.cgi?A1=c&A2=4&A3=2&A4=[2][7][-5][1]&A11=0&A12=0Line
Jumperhttp://www.funbrain.com/cgi-bin/gn2.cgi?A1=s&A2=10&A3=1&A14=3&A15=1Guess
The Number?http://amby.com/educate/math/integ_x1.htmlIntegers:
Exercises with Signed Numbers
Not The End!
Referenceshttp://www.math.com/school/subject1/lessons/S1U1L10DP.htmlhttp://www.funbrain.com/cgi-bin/gn2.cgi?A1=s&A2=10&A3=1&A14=3&A15=1http://www.mathgoodies.com/lessons/vol5/intro_integers.html
