1. Distributing, Sets of Numbers, Properties of Real Numbers
Guided Notecards
Distributing, Sets of Numbers, Properties of Real Numbers

2. Distributing Distributive Property of Multiplication over Addition
Distributive Property of Multiplication over Subtraction
Distributive Property of Division over Addition
Distributive Property of Division over Subtraction

3. Distributive property of multiplication over addition
Notecard #1 - FRONT
Distributive property of multiplication over addition

4. Notecard #1 - BACK
a(b+c) = ab + bc

5. Distributive property of multiplication over subtraction
Notecard #2 - FRONT
Distributive property of multiplication over subtraction

6. Notecard #2 - BACK
a(b-c) = ab - bc

7. Distributive property of division over addition
Notecard #3 - FRONT
Distributive property of division over addition

8. Notecard #3 - BACK
a+b = a + b c c c

9. Distributive property of division over subtraction
Notecard #4 - FRONT
Distributive property of division over subtraction

10. Notecard #4 - BACK
a-b = a - b c c c

11. Sets of Numbers Natural Numbers Whole Numbers Integers
Rational Numbers
Irrational Numbers
Real Numbers
Closure

12. Notecard #5 - FRONT
Natural numbers

13. Notecard #5 - BACK
{1, 2, 3, 4, 5, …}
*counting…

14. Notecard #6 - FRONT
Whole numbers

15. Notecard #6 - BACK
{0, 1, 2, 3, 4, …}

16. Notecard #7 - FRONT
Integers

17. Notecard #7 - BACK
{…, -2, -1, 0, 1, 2, …}
*number line

18. Notecard #8 - FRONT
Rational numbers

19. A quotient of 2 integers, a decimal value that stops or repeats
Notecard #8 - BACK
A quotient of 2 integers, a decimal value that stops or repeats

20. Notecard #9 - FRONT
Irrational numbers

21. A decimal value that never stops and never repeats (ex. ∏)
Notecard #9 - BACK
A decimal value that never stops and never repeats (ex. ∏)

22. Notecard #10 - FRONT
Real Numbers

23. The union of rational and irrational numbers
Notecard #10 - BACK
The union of rational and irrational numbers

24. Notecard #11 - FRONT
Closure

25. Notecard #11 - BACK
Add/Subtract/Multiply/Divide 2 numbers from a specific set, the answer is also from that set.
Ex: = 5 (natural + natural = natural)

26. Properties of Real Numbers
Additive Identity
Multiplicative Identity
Additive Inverse
Multiplicative Inverse
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Reflexive Property
Symmetric Property
Transitive Property

27. Notecard #12 - FRONT
Additive Identity

28. Notecard #12 - BACK
a + 0 = a

29. Multiplicative Identity
Notecard #13 - FRONT
Multiplicative Identity

30. Notecard #13 - BACK
a x 1 = a

31. Notecard #14 - FRONT
Additive Inverse

32. Notecard #14 - BACK
a + - a = 0

33. Multiplicative Inverse
Notecard #15 - FRONT
Multiplicative Inverse

34. Notecard #15 - BACK
a x 1/a = 2

35. Commutative Property of Addition
Notecard #16 - FRONT
Commutative Property of Addition

36. Notecard #16 - BACK
a + b = b + a

37. Commutative Property of Multiplication
Notecard #17 - FRONT
Commutative Property of Multiplication

38. Notecard #17 - BACK
a x b = b x a

39. Associative Property of Addition
Notecard #18 - FRONT
Associative Property of Addition

40. Notecard #18 - BACK
(a + b) + c = a + (b + c)

41. Associative Property of Multiplication
Notecard #19 - FRONT
Associative Property of Multiplication

42. Notecard #19 - BACK
(a x b) x c = a x (b x c)

43. Notecard #20 - FRONT
Reflexive Property

44. Notecard #20 - BACK
a = a

45. Notecard #21 - FRONT
Symmetric Property

46. Notecard #21 - BACK
If a = b, then b = a

47. Notecard #22 - FRONT
Transitive Property

48. Notecard #22 - BACK
If a = b, and b = c, then a = c