This document discusses integers and how to add positive and negative integers. It defines integers as numbers that do not have decimals or fractions, and can be positive or negative. It explains that negative integers decrease as they move away from zero on a number line. The document then demonstrates how to add integers with the same or different signs by ignoring the signs and putting the sign of the number with the larger absolute value as the sign of the final answer. It also shows how to use a number line to solve integer addition problems.

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