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Properties of Addition and Multiplication

Properties of Addition and Multiplication. Why is it important to recognize these properties? It helps us with mental math. It helps us recognize patterns in problems. It helps us solve problems faster!!!.

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Properties of Addition and Multiplication

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  1. Properties of Addition and Multiplication Why is it important to recognize these properties? It helps us with mental math. It helps us recognize patterns in problems. It helps us solve problems faster!!!

  2. Inverse Operation PropertyInverse means opposite. Use the opposite operation to check solutions and find the value of variables. • Addition X+4=9 • Multiplication 8*x=32

  3. Commutative PropertyIf the order of the addends or factors is changed, the sum or product stays the same. Addition 4+9=9+4 Multiplication 2x8=8x2

  4. Associative PropertyThe way addends are grouped or factors are grouped does not change the sum or product. Addition (8+1)+5=8+(1+5) Multiplication (6x2)x4=6x(2x4)

  5. Identity PropertyThe sum of zero and any number equals that number. The product of one and any number equals that number. Addition 6+0=6 Multiplication 5x1=5

  6. Distributive PropertyMultiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. Multiplication 3x(5+10)=(3x5)+(3x10)

  7. Zero Property of MultiplicationThe product of any number and zero is zero. Multiplication 12x0=0

  8. Properties by D. Fisher

  9. Which Property?

  10. Which Property? (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition

  11. Which Property? 3 + 7 = 7 + 3 Commutative Property of Addition

  12. Which Property? 8 + 0 = 8 Identity Property of Addition

  13. Which Property? 6 • 4 = 4 • 6 Commutative Property of Multiplication

  14. Which Property? 17 + (-17) = 0 Inverse Property of Addition

  15. Which Property? 2(5) = 5(2) Commutative Property of Multiplication

  16. Which Property? 3(2 + 5) = 3•2 + 3•5 Distributive Property

  17. Which Property? 6(7•8) = (6•7)8 Associative Property of Multiplication

  18. Which Property? 5 • 1 = 5 Identity Property of Multiplication

  19. Which Property? (6 – 3)4 = 6•4 – 3•4 Distributive Property

  20. Which Property? 1(-9) = -9 Identity Property of Multiplication

  21. Which Property? 3 + (-3) = 0 Inverse Property of Addition

  22. Which Property? 1 + [-9 + 3] = [1 + (-9)] + 3 Associative Property of Addition

  23. Which Property? -3(6) = 6(-3) Commutative Property of Multiplication

  24. Which Property? -8 + 0 = -8 Identity Property of Addition

  25. Which Property? 3•7 – 3•4 = 3(7 – 4) Distributive Property

  26. Which Property? 6 + [(3 + (-2)] = (6 + 3) + (- 2) Associative Property of Addition

  27. Which Property? 7 + (-5) = -5 + 7 Commutative Property of Addition

  28. Which Property? (5 + 4)9 = 45 + 36 Distributive Property

  29. Which Property? -3(5 • 4) = (-3 • 5)4 Associative Property of Multiplication

  30. Which Property? -8(4) = 4(-8) Commutative Property of Multiplication

  31. Which Property? 6(3 – 2n) = 18 – 12n Distributive Property

  32. Which Property? 2x + 3 = 3 + 2x Commutative Property of Addition

  33. Which Property? ab = ba Commutative Property of Multiplication

  34. Which Property? a + 0 = a Identity Property of Addition

  35. Which Property? a(bc) = (ab)c Associative Property of Multiplication

  36. Which Property? a•1 = a Identity Property of Multiplication

  37. Which Property? a +b = b + a Commutative Property of Addition

  38. Which Property? a(b + c) = ab + ac Distributive Property

  39. Which Property? a + (b + c) = (a +b) + c Associative Property of Addition

  40. Which Property? a + (-a) = 0 Inverse Property of Addition

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