text: # Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER.
  
  ## Presentation on theme: "Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER."— Presentation transcript:
  
  Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER CHANGES! Your Turn: Apply the Commutative Property by finishing the below examples: 1.6 + 7 = __________ 2. 4 + 3 + 2 = ___________ 3. -5 + x = __________ 4.6 8 = __________ 5. 3x y = __________ 6. -2(4x) = __________ Associative Property: EXAMPLES: a + (b + c) = (a + b) + c OR 3 + (5 + 4) = (3 + 5) + 4 a (b c) = (a b) c 3 (5 4) = (3 5) 4 EXAMPLES: a + (b + c) = (a + b) + c OR 3 + (5 + 4) = (3 + 5) + 4 a (b c) = (a b) c 3 (5 4) = (3 5) 4 + + + + = GROUPING CHANGES! Works for both Addition and Multiplication Your Turn: Apply the Associative Property by finishing the below examples: 1. 4 + (7 + 3) = __________ 2. 2x + (3 + y) = __________ 3. (-3x + 1) + 2 = __________ 4. 3(-2 5) = __________ 5. (xy)z = __________6. 6 (8 4) = __________ Math-7 NOTES DATE: ______/_______/_______ What: properties Why: To identify and apply the commutative, associative, distributive, identity, inverse, and zero properties. What: properties Why: To identify and apply the commutative, associative, distributive, identity, inverse, and zero properties. NAME:
  
  Distributive Property: + + = EXAMPLES: a (b + c) = a(b) + a(c) OR 3(5 + 4) = 3(5) + 3(4) EXAMPLES: a (b + c) = a(b) + a(c) OR 3(5 + 4) = 3(5) + 3(4) Your Turn: Apply the Distributive Property by finishing the below examples: 1. 4 (2 + 3) = __________ 2. 2(x + y) = __________ 3.(-5x + 1) 8 = __________ 4. x(9 + 3) = __________ Just remember you can secure your identity if you: Add 0 OR Multiply by 1 EXAMPLES: a + 0 = a OR 5 + 0 = 5 a 1 = a OR 5 1 = 5 EXAMPLES: a + 0 = a OR 5 + 0 = 5 a 1 = a OR 5 1 = 5 Identity Property: Nobody wants to lose their identity! Your Turn: Apply the Identity Property by finishing the below examples: 1. 4 + 0 = _____ 2. x + ____ = _____ 3.8 1 = _____4. -5x _____ = _____
  
  Inverse Property: Your Turn: Apply the Inverse Property by finishing the below examples: 1. -8 + 8 = _____ 2. 2y + _____ = _____ 3. = _____ 4. = _____ Zero Property of Multiplication: Your Turn: Apply the Zero Property by finishing the below examples: 1. 12 0 = _____ 2. -5x _____ = _____ 3. x(0) = _____ ALL ABOUT THE OPPOSITE! ALL ABOUT THE OPPOSITE! EXAMPLES: -a + a = 0 OR -5 + 5 = 0 a b 3 4 b a 4 3 EXAMPLES: -a + a = 0 OR -5 + 5 = 0 a b 3 4 b a 4 3 = 1 This is like a zero pair! = 1 ANSWER IS ALWAYS ZERO! ANSWER IS ALWAYS ZERO! If you have 5 empty plates, how much food do you have? Answer: Zero! 5 0 = 0 If you have 5 empty plates, how much food do you have? Answer: Zero! 5 0 = 0
  
  RULES FOR PICTURES: 1.Be Creative !!!! 2.Can not use same picture from Notes 3.Name of Property is the Title/Heading (BIG LETTERS) 4.Name must appear in bottom corner (on front) 5.Must turn in by end of block (classwork grade)
  
  Math-7 PRACTICE DATE: ______/_______/_______ NAME:__________________________ “Properties” Apply the Commutative Property by re-ordering the following expressions in order to make them easier to evaluate MENTALLY (left to right). Give final answers as well. 1.12 + 11 + 8 = _________________________________________________________________________ 2.(4)(4)(5)= ____________________________________________________________________________ 3.(12)(5)(2)= ___________________________________________________________________________ 4.35 + 13 + 5= ___________________________________________________________________________ Apply the Associative Property by re-grouping the following expressions in order to make them easier to evaluate MENTALLY. Give final answers as well. 5. 9 + (1 + 17) =__________________________________________________________________________ 6. (3 + 19) + 11= ________________________________________________________________________ 7.5(2 ● 9) = ______________________________________________________________________________ Apply BOTH the Commutative and Associative Properties to re-order/ re-group the following expressions in such a way that it is easier to evaluate MENTALLY. Give final answers as well. 8. 4 + 22 + 6 + 8 = ______________________________________________________________________ 9.33 + 5 + 7 + 25 = _____________________________________________________________________ 10.(3)(2)(5)(3) = _________________________________________________________________________ Apply the Distributive Property in order to make it easier to evaluate the following expressions MENTALLY. Give final answers as well. 11.2(5 + 12) =____________________________________________________________________________ 12.4(5 + 9) = _____________________________________________________________________________ 13.4(11 + 6) = ____________________________________________________________________________ 12 + 8 + 11 = 31 Apply the Commutative Property by re-ordering the following expressions in order to make them easier to evaluate MENTALLY (left to right). Give final answers as well. 1.12 + 11 + 8 = _________________________________________________________________________ 2.(4)(4)(5)= ____________________________________________________________________________ 3.(12)(5)(2)= ___________________________________________________________________________ 4.35 + 13 + 5= ___________________________________________________________________________ Apply the Associative Property by re-grouping the following expressions in order to make them easier to evaluate MENTALLY. Give final answers as well. 5. 9 + (1 + 17) =__________________________________________________________________________ 6. (3 + 19) + 11= ________________________________________________________________________ 7.5(2 ● 9) = ______________________________________________________________________________ Apply BOTH the Commutative and Associative Properties to re-order/ re-group the following expressions in such a way that it is easier to evaluate MENTALLY. Give final answers as well. 8. 4 + 22 + 6 + 8 = ______________________________________________________________________ 9.33 + 5 + 7 + 25 = _____________________________________________________________________ 10.(3)(2)(5)(3) = _________________________________________________________________________
explanation: The document is a presentation or set of notes on mathematical properties, specifically the Commutative, Associative, Distributive, Identity, Inverse, and Zero properties. It includes examples and exercises for students to practice applying these properties. The document contains multiple questions and spaces for answers, but the answers are not provided.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
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distilabel_metadata.role: system
distilabel_metadata.content: # Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER.
  
  ## Presentation on theme: "Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER."— Presentation transcript:
  
  Commutative Property: + =+ EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 EXAMPLES: a + b = b + a OR 5 + 3 = 3 + 5 a b = b a 5 3 = 3 5 ORDER CHANGES! Your Turn: Apply the Commutative Property by finishing the below examples: 1.6 + 7 = __________ 2. 4 + 3 + 2 = ___________ 3. -5 + x = __________ 4.6 8 = __________ 5. 3x y = __________ 6. -2(4x) = __________ Associative Property: EXAMPLES: a + (b + c) = (a + b) + c OR 3 + (5 + 4) = (3 + 5) + 4 a (b c) = (a b) c 3 (5 4) = (3 5) 4 EXAMPLES: a + (b + c) = (a + b) + c OR 3 + (5 + 4) = (3 + 5) + 4 a (b c) = (a b) c 3 (5 4) = (3 5) 4 + + + + = GROUPING CHANGES! Works for both Addition and Multiplication Your Turn: Apply the Associative Property by finishing the below examples: 1. 4 + (7 + 3) = __________ 2. 2x + (3 + y) = __________ 3. (-3x + 1) + 2 = __________ 4. 3(-2 5) = __________ 5. (xy)z = __________6. 6 (8 4) = __________ Math-7 NOTES DATE: ______/_______/_______ What: properties Why: To identify and apply the commutative, associative, distributive, identity, inverse, and zero properties. What: properties Why: To identify and apply the commutative, associative, distributive, identity, inverse, and zero properties. NAME:
  
  Distributive Property: + + = EXAMPLES: a (b + c) = a(b) + a(c) OR 3(5 + 4) = 3(5) + 3(4) EXAMPLES: a (b + c) = a(b) + a(c) OR 3(5 + 4) = 3(5) + 3(4) Your Turn: Apply the Distributive Property by finishing the below examples: 1. 4 (2 + 3) = __________ 2. 2(x + y) = __________ 3.(-5x + 1) 8 = __________ 4. x(9 + 3) = __________ Just remember you can secure your identity if you: Add 0 OR Multiply by 1 EXAMPLES: a + 0 = a OR 5 + 0 = 5 a 1 = a OR 5 1 = 5 EXAMPLES: a + 0 = a OR 5 + 0 = 5 a 1 = a OR 5 1 = 5 Identity Property: Nobody wants to lose their identity! Your Turn: Apply the Identity Property by finishing the below examples: 1. 4 + 0 = _____ 2. x + ____ = _____ 3.8 1 = _____4. -5x _____ = _____
  
  Inverse Property: Your Turn: Apply the Inverse Property by finishing the below examples: 1. -8 + 8 = _____ 2. 2y + _____ = _____ 3. = _____ 4. = _____ Zero Property of Multiplication: Your Turn: Apply the Zero Property by finishing the below examples: 1. 12 0 = _____ 2. -5x _____ = _____ 3. x(0) = _____ ALL ABOUT THE OPPOSITE! ALL ABOUT THE OPPOSITE! EXAMPLES: -a + a = 0 OR -5 + 5 = 0 a b 3 4 b a 4 3 EXAMPLES: -a + a = 0 OR -5 + 5 = 0 a b 3 4 b a 4 3 = 1 This is like a zero pair! = 1 ANSWER IS ALWAYS ZERO! ANSWER IS ALWAYS ZERO! If you have 5 empty plates, how much food do you have? Answer: Zero! 5 0 = 0 If you have 5 empty plates, how much food do you have? Answer: Zero! 5 0 = 0
  
  RULES FOR PICTURES: 1.Be Creative !!!! 2.Can not use same picture from Notes 3.Name of Property is the Title/Heading (BIG LETTERS) 4.Name must appear in bottom corner (on front) 5.Must turn in by end of block (classwork grade)
  
  Math-7 PRACTICE DATE: ______/_______/_______ NAME:__________________________ “Properties” Apply the Commutative Property by re-ordering the following expressions in order to make them easier to evaluate MENTALLY (left to right). Give final answers as well. 1.12 + 11 + 8 = _________________________________________________________________________ 2.(4)(4)(5)= ____________________________________________________________________________ 3.(12)(5)(2)= ___________________________________________________________________________ 4.35 + 13 + 5= ___________________________________________________________________________ Apply the Associative Property by re-grouping the following expressions in order to make them easier to evaluate MENTALLY. Give final answers as well. 5. 9 + (1 + 17) =__________________________________________________________________________ 6. (3 + 19) + 11= ________________________________________________________________________ 7.5(2 ● 9) = ______________________________________________________________________________ Apply BOTH the Commutative and Associative Properties to re-order/ re-group the following expressions in such a way that it is easier to evaluate MENTALLY. Give final answers as well. 8. 4 + 22 + 6 + 8 = ______________________________________________________________________ 9.33 + 5 + 7 + 25 = _____________________________________________________________________ 10.(3)(2)(5)(3) = _________________________________________________________________________ Apply the Distributive Property in order to make it easier to evaluate the following expressions MENTALLY. Give final answers as well. 11.2(5 + 12) =____________________________________________________________________________ 12.4(5 + 9) = _____________________________________________________________________________ 13.4(11 + 6) = ____________________________________________________________________________ 12 + 8 + 11 = 31 Apply the Commutative Property by re-ordering the following expressions in order to make them easier to evaluate MENTALLY (left to right). Give final answers as well. 1.12 + 11 + 8 = _________________________________________________________________________ 2.(4)(4)(5)= ____________________________________________________________________________ 3.(12)(5)(2)= ___________________________________________________________________________ 4.35 + 13 + 5= ___________________________________________________________________________ Apply the Associative Property by re-grouping the following expressions in order to make them easier to evaluate MENTALLY. Give final answers as well. 5. 9 + (1 + 17) =__________________________________________________________________________ 6. (3 + 19) + 11= ________________________________________________________________________ 7.5(2 ● 9) = ______________________________________________________________________________ Apply BOTH the Commutative and Associative Properties to re-order/ re-group the following expressions in such a way that it is easier to evaluate MENTALLY. Give final answers as well. 8. 4 + 22 + 6 + 8 = ______________________________________________________________________ 9.33 + 5 + 7 + 25 = _____________________________________________________________________ 10.(3)(2)(5)(3) = _________________________________________________________________________
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a presentation or set of notes on mathematical properties, specifically the Commutative, Associative, Distributive, Identity, Inverse, and Zero properties. It includes examples and exercises for students to practice applying these properties. The document contains multiple questions and spaces for answers, but the answers are not provided.
  
  Label: multiple-question