Inverse Operations. How do we undo an operation? If I owe Brandie $1 then how can I get rid of my...

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Inverse Operations

Transcript of Inverse Operations. How do we undo an operation? If I owe Brandie $1 then how can I get rid of my...

Page 1: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Inverse Operations

Page 2: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

How do we undo an operation? If I owe Brandie $1 then how can I get

rid of my debt?

What math operation would you use to do that?

Page 3: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

How do we undo an operation? If I have 8 slugs. How do I get rid of

them?

What math operation would you use to do that?

Page 4: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

If each student in the class gave Ms. Spangler 2 pencils (5x2) so she has 10 pencils total. How do I give back, or distributed, evenly those pencils?

What math operation would you use?

Page 5: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Inverse operations Definition: an inverse operation is any mathematical

operation (+, -, x, that undoes another operation.

ADDITION is the Inverse Operation of SUBTRACTION SUBTRACTION is the Inverse Operation of ADDITION MULTIPLICATION is the Inverse Operation of DIVISION DIVISION is the Inverse Operation of MULTIPLICATION

Page 6: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

+

Page 7: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

-

Page 8: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

x

Page 9: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

Page 10: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

x

Page 11: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

-

Page 12: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

Page 13: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

NAME THAT OPPOSITE! IT’s OK to yell out!!

+

Page 14: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

+12-12

=0

Page 15: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

-6+6=0

Page 16: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

x66

=1

Page 17: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Remember when we add or subtract 0 from an equation it doesn’t change the equation.

5 + 0 = 5 14 - 0

Remember when we multiply

Page 18: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

+4

Page 19: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

4__

Page 20: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

So lets undo some operations

-4

Page 21: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Learning to Balance Equations Online Problem Algeblocks

Draw problems out.

Page 22: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Math Steps Steps:

Draw Line down Equal sign Find the number on the same side as the

variable How is the number connected to the

variable (+, -, /, x) Do the inverse to BOTH SIDES Solve!

Page 23: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Apply to Algebraic Equations 15 + x = 25

+ So we are going to + or –

These are the 2 equations we

will solve.

0 + x = 10x = 10

-15 -15

Page 24: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Apply to Algebraic Equations - 3 + x = 25

+ So we are going to + or –

These are the 2 equations we

will solve.

0 + x = 28x = 28

+3 +3

Page 25: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Apply to Algebraic Equations = 2

+ So we are going to x or /

These are the 2 equations we

will solve.

1x = 6x = 6

x3 x3

Page 26: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Apply to Algebraic Equations 5 - z = 25

+ So we are going to x or /

These are the 2 equations we

will solve.

0 - z = 20- z = 5

-5 -5

x(-1) x(-1) z = -5

Page 27: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

Name:______________________Date:______________________

TEST 12 = 3x

-7.3 + a = -20

g + = 1

-4= d – 4

Page 28: Inverse Operations. How do we undo an operation?  If I owe Brandie $1 then how can I get rid of my debt?  What math operation would you use to do that?

4x = 16

-2 + a = -1

P + 7 = -4

d – 6 = -6