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The Search for the five properties of multiplication…

The Search for the five properties of multiplication…. As Detective Jones began his day, he soon realized that a new case had been assigned to him…it was the case of the “Missing Properties”…. “Missing Properties”…”, he said, “This will be an easy case to solve.”.

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The Search for the five properties of multiplication…

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  1. The Search for the five properties of multiplication…

  2. As Detective Jones began his day, he soon realized that a new case had been assigned to him…it was the case of the “Missing Properties”…

  3. “Missing Properties”…”, he said, “This will be an easy case to solve.”

  4. He called in his good friend, Buster, to assist him in his search! Woof!

  5. Off they went on their journey…first stop, the police station. There was the Zero Property…he was being forced to change by being multiplied with another number, but he REFUSED!“ I will not change to another number! I am staying right where I am!0 x any number = 0

  6. Next stop was the beauty salon where the detective and Buster found Identity Property getting her hair cut! I still look the SAME!

  7. “I can change my hair, my nails and get braces, but I’ll still be the SAME number!Any number times 1 = any number1 x 5 = 543 x 1 = 43

  8. “Ok, Buster, let’s go find the Commutative Property!”The two detectives set off and they found the commutative property traveling to the beach. “Can’t you see I am commuting”, the property said as the detectives stopped him.

  9. “Commuting means to travel and we can change places, but we still remain the same numbers and commute to the same place!”2 x 5 = 5 x 24 x 2 x 6 = 6 x 2 x 4

  10. So off the detectives went to find the Associative Properties. They were hanging out with their friends at the park. “Hey, detectives”, they said, “We’re hanging out with each other and having a great time! But, we always ask our parents first if we can come and hang out!

  11. The Associative Property says that numbers can hang out with different groups of friends, but they all stick together!2 + (5 + 3) = (2 + 5) + 3(3 x 4) x 7 = 3 x (4 x 7)

  12. “Ok, Buster, we’re on our last search. Let’s find the Distributive Property so we can go home for the day.”The detectives found the Distributive Property hanging out at the YMCA where there was lots of stretching going on!

  13. The Distributive Property says that a math sentence can be stretched out to show all of its parts!2 x (4 + 6) = (2 x 4) + (2 x 6)4 x (8 + 3) = (4 x 8) + (4 x 3)

  14. “Whew, Buster, what a day!” “You got that right, Jones, but we solved the case of the Missing Properties!” “Let’s go for a hot dog!” Woof!

  15. Let’s review….Identity PropertyAny number x’s 1= that number

  16. Zero PropertyAny number times 0 = 0

  17. Commutative Property5 + 3 = 3 + 5

  18. Associative Property(9 + 4) + 5 = 9 + ( 4 + 5)(Parentheses are just moved around!)

  19. Distributive Property5 x (6 + 2) = (5 x 6) + (5 x 2)

  20. Thank you for helping me! Woof, woof!

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