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**ALGEBRA 1 Operations with Integers**

Section 1:2

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Add: −8+6= 24+ −45 = −54+21= −43+ −72 = 15+ −26 +9= −2 −21 −33 −115 −2

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**Integers with the same sign: to add two numbers with the **

Addition of Integers: Integers with the same sign: to add two numbers with the same sign, add the absolute values of the numbers. Then attach the sign of the addends (numbers being added). Ex: 2+8= −2+ −8 =−10 Integers with different signs: to add two numbers with different signs, find the absolute value of each number. Then subtract the smaller of these absolute values from the larger one. Attach the sign of the number with the larger absolute value. Ex: −2+8= −8 =−6

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Subtract: −3−8= −14− −12 = 21− −17 = −5−16− −14 = −11 −2 38 −7

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**Subtraction of Integers: (finding the difference)**

Subtraction is the Addition of the Opposite *Change the subtraction sign to addition, then change the sign of the next #. Ex: 8− −3 = 5−12= 8+ +3 = −12 =−7 *Then follow rules for addition!

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**Multiply or Divide: −5 8 = −7 −12 = −10 −6 4 = 18÷ −3 = −108÷ −12 =**

−10 −6 4 = 18÷ −3 = −108÷ −12 = −64÷0= −40 84 240 −6 9 undefined *Zero divided by any number other than zero is zero. *Division by zero is not defined. *Any number other than zero divided by itself is 1. *Any number divided by 1 is the number. 0 8 = 0 4 0 = undefined 5 5 =1 6 1 = 6

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Multiply Integers (finding the product) The numbers being multiplied are called factors! The result is called the product! *Integers with the same sign produce a positive product *Integers with different signs produce a negative product Ex: −5× −6 = −7×3=−21

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Dividing Integers (quotient) Dividing integers with the same sign become positive. −12÷ −4 =3 Dividing integers with different signs become negative. −12÷4=−3

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