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

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

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- 1. Mrs. Haataja 6th Grade Math
- 2. Are numbers Can be positive or negative Do NOT have decimals Do NOT have fractions
- 3. INTEGERS NON- INTEGERS 5 10059 -33 -478 29 4.5 -3.33 2/3 -6 ½ -83.9
- 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. POSITIVE TEMPERATURE READING ALL NUMBERS IN THIS PHOTO ARE POSITIVE AVERAGE PER GAME VALUE IS NEGATIVE (THIS IS AN OLD IPOD!)
- 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. 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. You already know how to add positive integers…you just haven’t called them integers before!
- 9. 5 + 3 = 8 You just added the integers positive 5 and positive 3 and found out the answer was positive 8!
- 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. 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
- 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. 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 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. 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

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