Algebraic Properties

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Across
  1. 4. this property says that when you multiply 0 times any number it equals zero
  2. 6. when you add or multiply three or more numbers you can change the grouping
  3. 8. when you multiply any number times its reciprocal it equals 1
  4. 9. 4 + (3 + 5) = (__ + 3) + 5, associative property
  5. 11. you can replace any number with the same value
  6. 13. 6 + -6 = ____, additive inverse property
  7. 14. written in if and then form and has 3 equal signs
  8. 17. If 8 = 5 + 3 and 5 + 3 = 2(4), then ___ = 2(4), transitive property
  9. 18. 6 + ____ = 6, additive identity property
  10. 21. this property says that when you add 0 to any number it equals that number
  11. 23. (5 + 5)+ 2 = ____ + 2, substitution property
  12. 24. this property says that a number is equal to itself
  13. 26. when you add or multiply two or more numbers you can change the order
Down
  1. 1. when you multiply a number by -1 it equals the opposite of the number
  2. 2. -7(-1) = ___, multiplicative property of negative one
  3. 3. 6(___) = 0, multiplicative property of zero
  4. 5. when you add a number and its opposite the answer is zero
  5. 7. when you multiply any number times 1 it equals that number
  6. 10. multiply everything inside the () by what is outside the ()
  7. 12. this property is written in if then form and has two equal signs
  8. 15. 5(2) = 2(__), commutative property
  9. 16. 9(__) = 9, multiplicative identity property
  10. 19. 6(2 - 5) = __(2) - __(5), distributive property
  11. 20. 12 = ___, reflexive property
  12. 22. 6(1/6) = ____, multiplicative inverse property
  13. 25. If 6 = 2(3), then ____(3) = 6, symmetric property