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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 … …

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

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

18 Here are some examples of additive inverses… IntegerAdditive Inverse

19 Here are some examples of additive inverses… IntegerAdditive Inverse

20 Here are some examples of additive inverses… IntegerAdditive Inverse

21 Here are some examples of additive inverses… IntegerAdditive Inverse

22 Here are some examples of additive inverses… IntegerAdditive Inverse

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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