1. Order of Operations
    • Parentheses
    • Exponents
    • Multiplication
    • Division
    • Addition
    • Subtraction
  2. If  a problem it factored you should...
    distribute it
  3. If a problem is distributed you should...
    factor it
  4. Another word for "factors" is...
  5. The largest factor of a number is...
    that number
  6. Factors are _____, Multiples are ______.
    • few
    • many
  7. the smallest multiple of a number is....
    that number
  8. when factoring you're getting numbers that are..
    less than or equal to the number
  9. when getting multiples youre getting numbers that are..
    greater than or equal to the number
  10. when reducing fractions find the...
    common denominator
  11. when comparing fractions and finding which is bigger or smaller you need to...
    cross multiply (larger number, is the larger fraction)
  12. to add "unlike" fractions you use the...
    bowtie method, cross multiply to get two numbers, add those numbers together then divide by the product of the denominators
  13. To subtract "unlike" fractions you use the...
    bowtie method, cross multiply to get two numbers, subtract those numbers together then divide by the product of the denominators
  14. you cannot reduce fractions over an...
    equal sign
  15. to divide unlike fractions you must...
    invert second fraction then multiply straight across
  16. to turn fractions into decimals you...
    do the division
  17. to convert decimals to fractions you...
    count number of places  in number, then place number w/o decimal over the unit....(3 places = 1000) then divide
  18. to multiply decimals..
    count how many digits in total are to the right in the whole problem, then multply the numbers normally, then place the decimal point so that the same amount of digits are to the right.
  19. when converting decimals to percentages you...
    move the decimal point 2 places to the right
  20. when converting percentages to decimals you...
    move decimal point two places to the left
  21. "what percent" means
  22. "percent" means
  23. "what:" means
  24. "of" means
  25. "is, are, were" means
  26. Percent change equation
    % = (amount change/original) x 100
  27. average equation triangle
    total/(# of things x averages)
  28. a negative power is the reciprocal of...
    a positive power
  29. anything to the zero power is...
  30. anything to the first power is...
  31. when several numbers are inside parentheses, the exponent outside the parentheses must be...
    distributed to all the numbers within
  32. when multiplying exponents when bases are the same, you ____ the exponents.
  33. when dividing exponents when bases are the same, you ____ the exponents.
  34. when multiplying or dividing exponents that are the same with different bases, to solve them you...
    preform the regular operation to the base (multiply, divide) and keep the exponent the same.
  35. if exponential terms have different bases and different exponents how do you combine them?
    you cant
  36. terms with exponents can be added or subtracted only when...
    they have the same base and exponent.
  37. when an exponential term is raised to another power, these exponents are _______ and the coefficent inside the pararenthesis is raised by the exponent on the ______.
    • mutiplied
    • outside
  38. a negative number raised to an odd power is..
  39. a negative number raised to an even power becomes..
  40. anything raised to an even power is...
  41. A negative number has no real...
    roots, usually no solution
  42. if you raise a positive fraction of less than 1 to a power, it gets....
  43. if you raise a negative number to an odd power, the number gets...
  44. roots are...
    exponents in reverse
  45. when you have roots, break them down according to..
    • what kind of root they are...
    • square = 2 factors
    • Cubed = 3 factors
    • fourthed = 4 factors
    • fifted = 5 factors
  46. when the number under a radical has a factor whose root is an integer, then the radical can be....
  47. roots can be combined by addition and subtraction only when..
    they are roots of the same order and roots of the same number
  48. roots can be multiplied and divided freely as long as...
    all the roots are of the same order
  49. when you have fractional exponents the numerator is ..
    inside the root
  50. when you have fractional exponents the denominator is ..
    outside the root
  51. the square of two is... (valentines day)
  52. the square of three is... (st. patricks day)
Card Set
Pcat Math