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# Integers powerpoint

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An introduction to integers - what they are, and how to add them

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### Integers powerpoint

1. 1. Mrs. Haataja 6th Grade Math
2. 2.  Are numbers  Can be positive or negative  Do NOT have decimals  Do NOT have fractions
3. 3. INTEGERS NON- INTEGERS  5  10059  -33  -478  29  4.5  -3.33  2/3  -6 ½  -83.9
4. 4. 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…
5. 5. POSITIVE TEMPERATURE READING ALL NUMBERS IN THIS PHOTO ARE POSITIVE AVERAGE PER GAME VALUE IS NEGATIVE (THIS IS AN OLD IPOD!)
6. 6. 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
7. 7.  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
8. 8. You already know how to add positive integers…you just haven’t called them integers before!
9. 9.  5 + 3 = 8  You just added the integers positive 5 and positive 3 and found out the answer was positive 8!
10. 10.  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. 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. 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
13. 13.  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
14. 14.  It is written as vertical lines on either side of a number  |12|, is 12  |-23|, is 23  Absolute values are ALWAYS positive
15. 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. 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. 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 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
18. 18.  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