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INTEGERS Integers include: the counting numbers…

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

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

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

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INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0

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

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

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

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

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

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

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

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

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**Here are some examples of additive inverses…**

Integer Additive Inverse

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**-5 Here are some examples of additive inverses… Integer Additive**

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**-5 5 Here are some examples of additive inverses… Integer Additive**

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**-5 5 12 Here are some examples of additive inverses… Integer Additive**

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**-5 5 12 -12 Here are some examples of additive inverses… Integer**

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**-5 5 12 -12 7 Here are some examples of additive inverses… Integer**

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**-5 5 12 -12 7 -7 Here are some examples of additive inverses… Integer**

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**-5 5 12 -12 7 -7 -30 Here are some examples of additive inverses…**

Integer Additive Inverse -5 5 12 -12 7 -7 -30

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**-5 5 12 -12 7 -7 -30 30 Here are some examples of additive inverses…**

Integer Additive Inverse -5 5 12 -12 7 -7 -30 30

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**ADDITION / SUBTRACTION of Integers**

STEPS : change any “double” signs

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**ADDITION / SUBTRACTION of Integers**

STEPS : change any “double” signs Double signs such as or need to be changed…

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**ADDITION / SUBTRACTION of Integers**

STEPS : change any “double” signs Double signs such as or need to be changed to single signs… + + changes to + - - changes to + + - changes to - - + changes to -

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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.

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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. 1st change double sign ++ means + Add the two integers

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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. 1st change double sign means - Add 3 and 4 and place a negative sign in front

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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. 1st change double sign + + means + Subtract; 4 – 3 =1…since +4 is farther from zero than - 3, the answer is +

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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 1st change double sign - + means - Subtract; 8 – 4

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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 1st change double sign - + means - The difference between 8 and 4 = 4. Since 8 is farther away from zero and negative, the answer is negative

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**ADDITION / SUBTRACTION of Integers**

STEPS : 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 1st change double sign - + means - Add 8 and 4 , place a negative sign in front

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ADDING INTEGERS (SAME SIGNS)

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