Operations with integers
Operations with integers
Addition and subtraction
Same sign --> add Different sign --> subtract
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
Operations with integers
Addition and subtraction
Parenthesis
+(+) = + +(–) = – – (+) = – – (– ) = +
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
Powers
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
Powers
Roots
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Combined Operations
Parenthesis
Powers
Roots
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
– 8 + 5 · [2 – ( + 10 ) – 2 · (–3) ] = – 8 + 5 · [2 – 10 + 6] = – 8 + 5 · (– 2) = – 8 – 10 = – 18
OPERATIONS WITH INTEGERS
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Transcript
Operations with integers
Operations with integers
Addition and subtraction
Same sign --> add Different sign --> subtract
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
Operations with integers
Addition and subtraction
Parenthesis
+(+) = + +(–) = – – (+) = – – (– ) = +
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
Powers
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Parenthesis
Powers
Roots
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
Operations with integers
Addition and subtraction
Multiplication and division
Combined Operations
Parenthesis
Powers
Roots
+ 5 · ( + 2 ) = 10 + 4 · ( – 3 ) = – 12 – 10 : ( + 2 ) = – 5 – 15 : ( – 5 ) = 3
– 3 + 2 = – 1 – 3 – 2 = – 5 – 3 + 7 = 4
+ ( + 2 ) = + 2 = 2 + ( – 3 ) = – 3 – ( + 4 ) = – 4 – ( – 5 ) = + 5 = 5
– 8 + 5 · [2 – ( + 10 ) – 2 · (–3) ] = – 8 + 5 · [2 – 10 + 6] = – 8 + 5 · (– 2) = – 8 – 10 = – 18