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How to add integers and subtract integers. Mainly working with positive and negative numbers.

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1. 1. 0<br />…-5,-4,-3,-2,-1<br />1,2,3,4,5...<br />Get It!<br />Got It! <br />GREAT!<br />Adding Integers <br />The Positive and Negative of it All…<br />
2. 2. Integers<br />Get It! Got It! GREAT!<br />What is an Integer?<br />Integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5… and their opposite numbers less than zero: -1,-2,-3,-4,-5…<br />Integer is 17<br />Opposite is -17<br />Integer is -8<br />Opposite is 8<br />Integer is 23<br />Opposite is -23<br />
3. 3. Integers<br />Integers on a Number Line<br />Negative Integers are opposite whole numbers less than zero: -1,-2,-3,-4,-5…<br />Positive Integers are whole numbers greater than zero: 1,2,3,4, 5…<br />0<br />…-5,-4,-3,-2,-1<br />1,2,3,4,5...<br />
4. 4. Integers<br />How to add positive & positive integers <br />Positive Integers are whole numbers greater than zero: 1,2,3,4, 5…<br />3<br />5<br />+<br />
5. 5. Integers<br />They are BOTH positive <br />Therefore… add numbers<br />And<br />KEEP IT POSITIVE!<br />3<br />5<br />+<br />1<br />2<br />4<br />3<br />5<br />6<br />7<br />8<br />
6. 6. Integers<br />How to add negative & negative integers <br />-3<br />5<br />+<br /><ul><li>Negative Integers are opposite whole numbers less than zero: -1,-2,-3,-4,-5…</li></li></ul><li>Integers<br />They are BOTH negative <br />Therefore… add numbers<br />And<br />KEEP IT NEGATIVE!<br />-3<br />-5<br />+<br />-1<br />-2<br />-3<br />-6<br />-4<br />-7<br />-5<br />-8<br />
7. 7. Integers<br />How to add negative & positive integers <br />-3<br />5<br />+<br />
8. 8. Integers<br />Notice how positive and negatives are opposites going two different directions<br />1<br />-1<br />
9. 9. Integers<br />Notice how positive and negative touch ends or points but don’t point in the same direction. <br />0<br />0<br />…-5,-4,-3,-2,-1<br />0<br />1,2,3,4,5...<br />
10. 10. Integers<br />Positive 1/negative-1cancel out to zero. <br />1<br />0<br />0<br />As per<br />number line<br />-1<br />Positive 1/positive 1& negative -1/negative -1<br />follow the same direction and increase 2 or decrease -2.<br />1+1= 2<br />-1+ -1= -2<br />
11. 11. Integers<br />Adding negative & positive integers <br />-3<br />5<br />+<br />
12. 12. Integers<br />-3<br />5<br />+<br />5-3=2<br />5 is bigger and positive so answer must be positive.<br />1<br />2<br />0<br />0<br />0<br />Hint: Subtract both numbers and keep <br />the sign of the bigger whole number.<br />
13. 13. Integers<br />Subtracting Integers<br />Adding and subtracting integers is almost identical. We convert the subtraction symbol to addition and give the following number its opposite sign.<br />-2 - 3<br />-2 + -3<br />= -5<br />Change – to + and opposite of 2 is -2<br />5 - 7<br />5 + -7<br />= -2<br />-2 – -8<br />-2 + 8<br />= 6<br />Change – to + and opposite of 7 is -7<br />Change – to + and opposite of -8 is 8<br />
14. 14. References<br />Copyrighted and created by Susan Blakely<br />