This document defines integers and provides examples of adding positive and negative integers. It explains that integers are whole numbers that do not have decimals or fractions. Positive integers increase as you move to the right of zero on a number line, while negative integers decrease as you move left. The document also presents two methods for adding integers: using a number line by moving left and right, and using the absolute value of numbers and subtraction.

1. Mrs. Haataja
6th Grade Math

3.  Are numbers
 Can be positive or
negative
 Do NOT have
decimals
 Do NOT have
fractions

4. INTEGERS NON- INTEGERS
 5
 10059
 -33
 -478
 29
 4.5
 -3.33
 2/3
 -6 ½
 -83.9

5. When you count, you say
1, 2, 3, 4, 5…
You are listing INTEGERS
 To count in the other
direction, it is -1, -2, -3, -4, -
5…

6. POSITIVE TEMPERATURE READING
ALL NUMBERS IN THIS PHOTO ARE
POSITIVE
AVERAGE PER GAME VALUE IS
NEGATIVE (THIS IS AN OLD IPOD!)

7. POSITIVE NEGATIVE
 When the temperature
is above zero
 When you are above
ground
 When you earn money
 In hockey, when your
team scores a goal while
you are on the ice
 When the temperature
is below zero
 When you are below
ground
 When you spend money
 In hockey, when the
other team scores a goal
while you are on the ice

9.  Positive integers increase in increments of one
as you move to the right
 Negative integers mirror this moving to the left
of zero, however, even though they appear to
be getting bigger, they are actually getting
smaller
 -5 is one number smaller than -4, for example

10. You already know how to
add positive integers…you
just haven’t called them
integers before!

11.  5 + 3 = 8
 You just added the integers
positive 5 and positive 3 and
found out the answer was
positive 8!

12.  Adding negative integers is just like adding
positive integers…only difference…the answer
will have a negative sign
 -6 +(-5) = -11
 All you do is ignore the negative signs and add
the numbers, then put the negative sign back in
your answer
 THIS ONLY WORKS IF BOTH NUMBERS
ARE NEGATIVE!!

14.  On the previous slide we saw a diagram of the
problem 6 + (-2)
 To solve this, they started at zero and moved to
the right 6 places – to represent the positive 6
 Next, they moved left 2 places – this
represented the -2
 They landed on the number 4 (positive 4)
which is the answer

15.  Using a number line is a great way to practice
when you are first learning to add numbers
with different signs – but there is another way
 We can use the absolute value of a number and
subtraction to solve addition problems
involving integers of different signs

17.  Absolute value is the distance
between a number and zero
 It does not matter which direction
you are moving to get back to zero –
all that is important is how many
steps it takes to get there

18.  It is written as vertical lines on either
side of a number
 |12|, is 12
 |-23|, is 23
 Absolute values are ALWAYS
positive

19.  Here’s how with the help of absolute value…
 1) find the absolute value of each number being
added
 2) subtract the smaller absolute value from the
larger absolute value
 3) the sign of the number with the larger
absolute value is the sign of the answer

20.  21 + 29 = 50
 -21 + (-29) = -50
 29 + (-21) = 8
|29| = 29 |-21| = 21
29 – 21 = 8
29 is +, so answer is +
 21 + (-29) = -8
|-29| = 29 |21| = 21
29 – 21 = 8
29 is -, so answer is -

21. All photos from flickr.com, all have a creative commons license
 Slide 2: Photographer: Ciccio Pizzettaro
Title: Question Mark Taken: 1/23/2010
 Slide 3: Photographer: Kenyee
Title: Floating Integers Taken: 8/22/2008
 Slide 6 Photographer Rob Friesel found_drama
Title: Is that a…positive integer? Taken: 1/25/2013
 Slide 6: Photographer: Frank Wales
Title: I should have quit while I was ahead Taken:
11/19/2007

22.  Slide 8: Photographer: Ethan Hein
Title: Even Integers Subgroup Taken: 4/11/2008
 Slide 13: Photographer gfinder
Title: Goalfinder Math integer-numberline 1
Taken: 3/1/2012
 Slide 16 Photographer: gfinder
Title: Goalfinder Math Absolute-value-of-an-
integer Taken: 3/1/2012
 Slide 20 Photographer danmachold
Title: clock Taken: 2/3/2011