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INTEGERS Integers include: the counting numbers….

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Presentation on theme: "INTEGERS Integers include: the counting numbers…."— Presentation transcript:

1 INTEGERS Integers include: the counting numbers…

2 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 …

3 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…

4 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 …

5 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0

6 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 We can show them on a number line 0 1 2 3 4 5 … -5 -4 -3 -2 -1 …

7 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … Each integer and its partner are the same distance from zero

8 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … Each integer and its partner are the same distance from zero 2 2

9 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … Each integer and its partner are the same distance from zero 55

10 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … These numbers are ADDITIVE INVERSES 55

11 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 55

12 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 55 5 + ( - 5 ) = 0

13 INTEGERS Integers include :- the counting numbers…1, 2, 3, 4, 5 … - their negative partners…-1, -2, -3, -4, -5 … - AND zero0 0 1 2 3 4 5 … -5 -4 -3 -2 -1 … 2 2 These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 2 + ( - 2 ) = 0

14 Here are some examples of additive inverses… IntegerAdditive Inverse

15 Here are some examples of additive inverses… IntegerAdditive Inverse -5

16 Here are some examples of additive inverses… IntegerAdditive Inverse -55

17 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12

18 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12-12

19 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12-12 7

20 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12-12 7-7

21 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12-12 7-7 -30

22 Here are some examples of additive inverses… IntegerAdditive Inverse -55 12-12 7-7 -3030

23 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs

24 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs Double signs such as + - or + + need to be changed…

25 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs Double signs such as + - or + + need to be changed to single signs… + + changes to + - - changes to + + - changes to - - + changes to -

26 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.

27 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1 st change double sign ++ means + Add the two integers

28 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1 st change double sign + - means - Add 3 and 4 and place a negative sign in front

29 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1 st change double sign + + means + Subtract; 4 – 3 =1…since +4 is farther from zero than - 3, the answer is +

30 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set

31 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set 1 st change double sign - + means - Subtract; 8 – 4

32 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set 1 st change double sign - + means - The difference between 8 and 4 = 4. Since 8 is farther away from zero and negative, the answer is negative

33 ADDITION / SUBTRACTION of Integers STEPS : 1. change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set 1 st change double sign - + means - Add 8 and 4, place a negative sign in front


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