This slide show will provide viewers with a brief introduction into what integers are and how to add them

1. Mrs. Haataja
6th Grade Math

2. Photo Credit: Ciccli Pizzettaro

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

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

6.  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

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

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

9.  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!!

11.  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

12.  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

14.  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
 It is written as vertical lines on either side of a
number
 |12|, is 12
 |-23|, is 23
 Absolute values are ALWAYS positive

15.  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

16.  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 -

17. 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 4 Photographer Rob Friesel found_drama
Title: Is that a…positive integer? Taken: 1/25/2013
 Slide 4: Photographer: Frank Wales
Title: I should have quit while I was ahead Taken:
11/19/2007

18.  Slide 5: Photographer: Ethan Hein
Title: Even Integers Subgroup Taken: 4/11/2008
 Slide 10: Photographer gfinder
Title: Goalfinder Math integer-numberline 1
Taken: 3/1/2012
 Slide 13 Photographer: gfinder
Title: Goalfinder Math Absolute-value-of-an-
integer Taken: 3/1/2012
 Slide 16 Photographer danmachold
Title: clock Taken: 2/3/2011