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Distributive Property and Properties of Addition and Multiplication

Learn how to apply the Distributive Property and identify properties of addition and multiplication in mathematical equations. Practice solving problems using the Commutative and Associative Properties.

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Distributive Property and Properties of Addition and Multiplication

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-5b Objective Use the Commutative, Associative, Identity, and Distributive Properties

  4. Example 1-5b Vocabulary None

  5. Example 1-5b Properties (Change position of numbers) (Regroup numbers) (Distribute numbers)

  6. Lesson 1 Contents Example 1Use the Distributive Property Example 2Apply the Distributive Property Example 3Identify Properties Example 4Identify Properties Example 5Apply Properties

  7. Write 43 as Example 1-1a Find 6  43 using the Distributive Property Write the problem 6  43 (40 + 3) 6 Bring down 6 6(40) 6(3) + Use the Distributive Property Distribute the 6 to the 40 Bring down + Distribute the 6 to the 3 1/4

  8. Example 1-1a Find 6  43 using the Distributive Property Follow Order of Operations P E MD AS 6  43 (40 + 3) 6 Multiply from left to right 6(40) 6(3) + Bring down + Add 240 + 18 Answer: 258 1/4

  9. Example 1-1b Find 7  33 using the Distributive Property. Answer: 231 1/4

  10. Identify the property shown by the equation Example 1-3a 3 + 2 = 2 + 3 Write the problem Identify what is happening to the numbers Answer: Begins with 3 + 2 Commutative Property Ends with 2 + 3 of Addition Changed position of numbers Identify property Identify process 2/4

  11. Example 1-3b Identify the property shown by the equation 9  6 = 6  9 Answer: Commutative Property of Multiplication 2/4

  12. Example 1-4a Identify the property shown by the equation (13  3)  4 = 13  (3  4) Write the problem (13  3)  4 = 13  (3  4) Identify what is happening to the numbers Begins with (13  3)  4 Answer: Associative Property Ends with 13  (3  4) of Multiplication Regrouping numbers Identify property Identify process 3/4

  13. Example 1-4b Identify the property shown by the equation (10 + 7) + 4 = 10 + (7 + 4) Answer: Associative Property of Addition 3/4

  14. Example 1-5a Find 12  2  4 using the Commutative Property and the Associative Property Write the problem 12  2  4 Since you can easily multiply 2 and 4, change the order by using the Commutative Property 2  4  12 (2  4)  12 Now use the Associative Property by using parenthesis around the 2  4 4/4

  15. Example 1-5a Find 12  2  4 using the Commutative Property and the Associative Property Follow Order of Operations P E MD AS 12  2  4 2  4  12 Work inside parenthesis (2  4)  12 Multiply 8  12 Answer: 96 4/4

  16. Example 1-5b * Find using the Commutative Property and Associative Property Answer: 117 4/4

  17. End of Lesson 1 Assignment

  18. cost of 5 admissions cost of 5 meals Example 1-2a THEME PARKS Suppose admission to a theme park costs $35 per person and meals cost $20 per person. What is the cost for a family of 5 people? Find the cost of 5 admissions and 5 meals. Then add. Answer: The total cost is $275. 2/5

  19. Example 1-2c BOWLING Suppose the cost of bowling three games at a local bowling alley is $6.50 and the cost of shoe rental is $1.50. What is the cost for a group of 6 friends to each rent a pair of shoes and bowl three games? Answer: $48 2/5

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