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EE. 3 Properties

Learn about the different properties of numbers including associative, commutative, identity, zero, and distributive properties. Use a tree map to classify properties and practice with examples.

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EE. 3 Properties

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  1. EE. 3 Properties

  2. Create a Tree Map to Classify Properties • Associative Property • Commutative Property • Identity Property • Zero Property • Distributive Property

  3. Associative Property • Associative Property of Addition: The sum of a set of numbers is the same no matter how the numbers are grouped. • (a + b) + c = a + (b + c) • Associative Property of Multiplication: The product of a set of numbers is the same no matter how the numbers are grouped. • (p • q) • r = p • (q • r)

  4. Associative Property • 3 +(4 + 2) = (n + 4) + 2 n= • 4 + (p + 7) = (4 + 1) + 7 p= • 5 • (7 • 2) = (5 • 7) • n n= • (2 • z) • 5 = 2 • (8 • 5) z=

  5. Associative Property • 3 +(4 + 2) = (n + 4) + 2 n= 3 • 4 + (p + 7) = (4 + 1) + 7 p= 1 • 5 • (7 • 2) = (5 • 7) • n n= 2 • (2 • z) • 5 = 2 • (8 • 5) z= 8

  6. Commutative Property • Commutative Property of Addition: The sum of a group of numbers is the same regardless of the order in which the numbers are arranged • a + b = b + a • Commutative Property of Multiplication: The product of a group of numbers is the same regardless of the order in which the numbers are arranged. • a • b = b • a

  7. Commutative Property • 9 + 3 = 3 + w w = • 56 + p = 11 + 56 p = • q • 8 = 8 • 4 q = • 5 • 9 = r • 5 r=

  8. Commutative Property • 9 + 3 = 3 + w w = 9 • 56 + p = 11 + 56 p = 11 • q • 8 = 8 • 4 q = 4 • 5 • 9 = r • 5 r= 9

  9. Identity Property • Any number multiplied by 1 will result in the original number. • 23,487 • 1 = 23,487

  10. Identity Property • 234 • 1 = a a= • b • 2,567 = 2,567 b= • 98,765 • c = 98,765 c=

  11. Identity Property • 234 • 1 = a a=234 • b • 2,567 = 2,567 b=1 • 98,765 • c = 98,765 c=1

  12. Zero Property • When any number is multiplied by zero, the product is zero. • 9 • 0 = 0

  13. Zero Property • 5 • c = 0 c= • 6 • 0 = b b= • z • 0 = 0 z=

  14. Distributive Property • The sum of two addends multiplied by a number is the sum of the product of each addend and the number. • 9(20 + 3) = (9 • 20) + (9 • 3) • 8(40 + 5) = (8 • 40) + (8 • 5) • 2(4 + 5) = 2(4) + 2(5) • 4 • 509 = (4 • 500) + (4 • 9)mental math

  15. Distributive Property • 6(31+10)= (6 • n) + (6 • 10) n= • s(200+5)= (5 • 200) + (5 • 5) s= • 3(18 - 9)= 3(18) – 3(t) t=

  16. Distributive Property • 6(31+10)= (6 • n) + (6 • 10) n=31 • s(200+5)= (5 • 200) + (5 • 5) s=5 • 3(18 - 9)= 3(18) – 3(t) t=9 Properties Song ~ Let’s sing along

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