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ijarritos

  • one year ago

Can you help me with properties of real numbers and listing the steps?

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  1. ijarritos
    • one year ago
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    Should I upload an image of the homework?

  2. ijarritos
    • one year ago
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    http://i.imgur.com/A2bEoQO.jpg

  3. ijarritos
    • one year ago
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    I know how to do a lot of it, I just don't know how to explain it.....

  4. ijarritos
    • one year ago
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    Someone please explain how I would start doing this

  5. Nnesha
    • one year ago
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    start with distributive property \[\huge\rm \color{Red}{a}(b+c)\] distribute the parentheses by outside number \[\large\rm \color{Red}{a} \times b + \color{Red}{a} \times c = \color{Red}{a}b+\color{Red}{a}c\]

  6. ijarritos
    • one year ago
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    Here is the page that is supposed to explain it but it doesn't make any sense http://i.imgur.com/bcRmUTL.jpg

  7. Nnesha
    • one year ago
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    http://prntscr.com/87q3vq thats the explanation :=)

  8. ijarritos
    • one year ago
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    @Nnesha In step B of 17, I know they just multiplied the parentheses, would I just say that?

  9. ijarritos
    • one year ago
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    @Nnesha Also for 17 A I put "distribute the parentheses with the distributive property", would that be correct?

  10. Nnesha
    • one year ago
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    |dw:1440277087992:dw| look at the last one distributive property that's what they used for first question (a) \[\large\rm \frac{ 1 }{ 2 }(1+2t)=\frac{ 1 }{ 2} \times 1 + \frac{ 1 }{ 2 } \times (2t)\]

  11. Nnesha
    • one year ago
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    for 17 a just write *distributive property |dw:1440277416871:dw|

  12. ijarritos
    • one year ago
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    @Nnesha What about 17B

  13. Nnesha
    • one year ago
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    that's same as first step they just rearrange 2nd term \[\frac{ 1 }{ 2 } \times 2t = (\frac{ 1 }{ 2 } \times 2)t\] which *associate property*

  14. Nnesha
    • one year ago
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    is**

  15. ijarritos
    • one year ago
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    @Nnesha this is so confusing I don't know how to tell which property is which

  16. Nnesha
    • one year ago
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    just look at the 2nd sheet they gave you. :=)

  17. Nnesha
    • one year ago
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    http://i.imgur.com/bcRmUTL.jpg this one

  18. ijarritos
    • one year ago
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    @Nnesha Thats the confusing part

  19. ijarritos
    • one year ago
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    @Nnesha Like I dont know how to tell which one from which ughh

  20. ijarritos
    • one year ago
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    @Nnesha Also is 17 b the associative property of addition or multiplication

  21. Nnesha
    • one year ago
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    would you multiply 1/2 times 2 or add ??

  22. ijarritos
    • one year ago
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    multiply

  23. ijarritos
    • one year ago
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    I have a question

  24. Nnesha
    • one year ago
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    i'm here please don't tag me on every comment it creates lag:(

  25. ijarritos
    • one year ago
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    Ok so for C, would the problem in question be 1/2 x 1 + (1/2 x 2)t = 1/2 x 1 + 1 x t

  26. ijarritos
    • one year ago
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    And I would look at it like that in comparison to the other sheet?

  27. ijarritos
    • one year ago
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    Or would you find it in a different way?

  28. Nnesha
    • one year ago
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    we shouldn't depends on one sheet i understand there isn't enough information to understand theses all properties :=) here is a better link http://www.purplemath.com/modules/numbprop.htm :=) with examples :=)

  29. Nnesha
    • one year ago
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    these*

  30. Nnesha
    • one year ago
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    for C i would say simplify bec they just divided 2 by 2 :=)

  31. ijarritos
    • one year ago
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    i forgot how to simplifyy

  32. ijarritos
    • one year ago
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    thats the problem

  33. ijarritos
    • one year ago
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    im 100% going to fail algebra II

  34. Nnesha
    • one year ago
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    nah you will not!! think about good stuff algebra is not just abt these properties :=)

  35. Nnesha
    • one year ago
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    simplify means make something easier to understand u know i HATE fraction pretty sure you don't like it either so that's why i cancel out 2's to make it simple \[\frac{ 1 }{ 2 } \times 2t = (\frac{ 1 }{\cancel{ 2} } \times \cancel{2})t\]

  36. phi
    • one year ago
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    this last one is called "inverse property of multiplication"

  37. Nnesha
    • one year ago
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    last one ??

  38. ijarritos
    • one year ago
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    is cancelling out 2's the associative property?

  39. phi
    • one year ago
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    notice \[ \frac{ 1 }{\cancel{ 2} } \times \cancel{2} \] matches your "cheat sheet" \[ \frac{ 1 }{\cancel{ a} } \times \cancel{a} =1\]

  40. ijarritos
    • one year ago
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    where on the sheet?

  41. phi
    • one year ago
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    4th from the bottom

  42. ijarritos
    • one year ago
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    omg how do you even get that out of it

  43. ijarritos
    • one year ago
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    all i know about simplification is to combine like terms

  44. ijarritos
    • one year ago
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    and i dont even see that going on like what ????

  45. phi
    • one year ago
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    do you see the line that says Inverse property of multiplication?

  46. ijarritos
    • one year ago
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    yes

  47. phi
    • one year ago
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    it is saying (in short hand) that if you have two numbers and one is the "flip" of the other when you multiply them you get 1 here are examples \[ 2 \cdot \frac{1}{2} \\ 3 \cdot \frac{1}{3} \\ \frac{2}{3}\cdot \frac{3}{2}\]

  48. ijarritos
    • one year ago
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    the teacher said this was "review work" and I don't even know how do do this

  49. ijarritos
    • one year ago
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    like before she starts teaching us things and I don't even know the basics

  50. phi
    • one year ago
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    in that case, you are learning properties that are useful if you want to do algebra. Do you understand the multiply by the inverse idea? does it make sense 2*1/2 = 1

  51. ijarritos
    • one year ago
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    Yes

  52. ijarritos
    • one year ago
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    Are they using PEMDAS in 17a to get to 17b?

  53. phi
    • one year ago
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    what is the multiplicative inverse of 4/5 ? (what do you multiply it by so you get 1)?

  54. phi
    • one year ago
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    we'll get to 17a in just a minute.

  55. phi
    • one year ago
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    Do you have time to learn this now?

  56. ijarritos
    • one year ago
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    Yes

  57. ijarritos
    • one year ago
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    And I don't know what I'd multiply by 4/5

  58. ijarritos
    • one year ago
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    4/5 x 1/5?

  59. phi
    • one year ago
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    you "flip it"

  60. ijarritos
    • one year ago
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    4/5 x 5/4?

  61. ijarritos
    • one year ago
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    20/20 = 1 ohh

  62. phi
    • one year ago
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    yes. that is the property you want to memorize notice when you multiply fractions you multiply top times top and bottom times bottom \[ \frac{4}{5}\cdot \frac{5}{4} = \frac{20}{20} =1 \] though it is better to notice that you have 5 up top and 5 down below and they "divide out" to 1 ditto for the 4's

  63. ijarritos
    • one year ago
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    but where did you get the 5/4 from

  64. phi
    • one year ago
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    if you start with 4/5 (think of this as "a" ) then your cheat sheet says, multiply by 1/a \[ \frac{1}{\frac{4}{5}} \] and there is a way to simplify that so it looks like \(\frac{5}{4} \)

  65. phi
    • one year ago
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    but it is easier (for me) to remember, "flip it" if you have a whole number like 2, then write it as 2/1, and now flip it to get 1/2

  66. phi
    • one year ago
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    that is enough about the multiplicative inverse. how far did you get answering your questions?

  67. ijarritos
    • one year ago
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    to 17b and I didn't really understand it

  68. ijarritos
    • one year ago
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    @phi are you going to be here in 30 minutes or less? I might need a break for a sec

  69. ijarritos
    • one year ago
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    Ok I'll tag you when I get back

  70. ijarritos
    • one year ago
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    @phi Im back

  71. phi
    • one year ago
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    what is the difference between line 17a and 17b?

  72. ijarritos
    • one year ago
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    1/2 was multiplied into 2 and t so distributive property

  73. phi
    • one year ago
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    no , I mean the exactly what symbols are different? most of the line is identical but there is a difference in what is written down.

  74. ijarritos
    • one year ago
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    1/2 x 2

  75. phi
    • one year ago
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    the difference is this part \[ \frac{1}{2}(2t) \text{ vs } \left( \frac{1}{2}\cdot 2 \right) t \]

  76. ijarritos
    • one year ago
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    Right I knew that but just didn't know how to explain it

  77. phi
    • one year ago
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    in case it is not obvious both mean 1/2 times 2 times t the only difference is where the parens are. (in theory that could make a difference, because PEDMAS says you do the stuff in parens first) but when you multiply a bunch of numbers (or letters), you are allowed to change where you put the parens.

  78. phi
    • one year ago
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    do you see the property on your cheat sheet that shows "moving the parens" when multiplying?

  79. ijarritos
    • one year ago
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    Yes

  80. ijarritos
    • one year ago
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    Associative property

  81. phi
    • one year ago
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    yes, specifically associative property of multiplication

  82. ijarritos
    • one year ago
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    what about b to c?

  83. ijarritos
    • one year ago
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    on 17

  84. ijarritos
    • one year ago
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    inverse property of multiplication?

  85. phi
    • one year ago
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    before moving on, let's make sure this make sense if you had 2*3*4*5*6 does it matter if we do 2*3 first or 5*6 ?

  86. ijarritos
    • one year ago
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    no

  87. phi
    • one year ago
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    ok, so I hope that makes sense. if you have 2*3*4*5 you can associate them into pairs any way you like. for b to c, yes, that is the inverse property of multiplication

  88. ijarritos
    • one year ago
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    Yes it does change

  89. phi
    • one year ago
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    what changes?

  90. ijarritos
    • one year ago
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    nvm

  91. ijarritos
    • one year ago
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    what about c to d?

  92. ijarritos
    • one year ago
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    1/2 x 1 is 1 and 1 x t is 1

  93. phi
    • one year ago
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    1/2*1 is not 1

  94. ijarritos
    • one year ago
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    i meant 1 x 1/2 is 1/2

  95. phi
    • one year ago
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    yes, and that is an important property

  96. ijarritos
    • one year ago
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    I know how it works im just trying to find which property

  97. phi
    • one year ago
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    look for 1 times "something" equals "something"

  98. ijarritos
    • one year ago
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    identify property of multiplication?

  99. phi
    • one year ago
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    yes. thought it is spelled identity

  100. ijarritos
    • one year ago
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    omg im getting it

  101. phi
    • one year ago
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    ready for Q 18?

  102. ijarritos
    • one year ago
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    Yes

  103. phi
    • one year ago
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    what is the exact difference between the left and right sides of 18a?

  104. ijarritos
    • one year ago
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    switched around

  105. ijarritos
    • one year ago
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    are there alot of trolls like that? xD

  106. phi
    • one year ago
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    yes, specifically when adding

  107. phi
    • one year ago
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    so look for a property related to addition that shows "switching"

  108. ijarritos
    • one year ago
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    Is it associative property of addition?

  109. phi
    • one year ago
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    associative is "where to put the parens"

  110. phi
    • one year ago
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    we have (2+a) vs (a+2) parens did not change what changed was 2+a became a+2 look for that rule on your list

  111. ijarritos
    • one year ago
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    commutative property of addition?

  112. phi
    • one year ago
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    yes. they show a+b= b+a and that shows the "switching around" that you noticed with 2+a and a+2

  113. phi
    • one year ago
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    now for 18a to 18b what is different?

  114. ijarritos
    • one year ago
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    Brackets are switched around

  115. ijarritos
    • one year ago
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    distributive property?

  116. phi
    • one year ago
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    yes. we sometimes use brackets instead of parens if it makes the expression easier to read. what rule comes to mind when you change where you put parens?

  117. ijarritos
    • one year ago
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    associative

  118. ijarritos
    • one year ago
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    of addition

  119. phi
    • one year ago
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    yes. associate property of addition they start with (a+2) + (-2) you can "move the parens" which is allowed by the associative property a+ (2 + (-2))

  120. ijarritos
    • one year ago
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    are c and d identity property of addition?

  121. phi
    • one year ago
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    what is the difference between line 18b and 18c ?

  122. ijarritos
    • one year ago
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    the addition in the brackets is added

  123. phi
    • one year ago
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    be more "literal" (2 + (-2)) turns into 0 do you see a property that shows that?

  124. ijarritos
    • one year ago
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    is 18c inverse of addition?

  125. phi
    • one year ago
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    yes. this is an important property if you have x, and you want to add something to it to make zero what do you add? you add -x x + -x is 0 this always works no matter what "x" is !

  126. ijarritos
    • one year ago
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    ok!

  127. phi
    • one year ago
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    now 18c to 18d a+0 becomes a

  128. ijarritos
    • one year ago
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    so would d be identity property of addition since its literally a+0

  129. ijarritos
    • one year ago
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    same as the cheat sheet

  130. phi
    • one year ago
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    yes. adding 0 to anything does not change it.

  131. phi
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    Q19 looks almost the same as Q18

  132. ijarritos
    • one year ago
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    19a associative property of multiplication?

  133. phi
    • one year ago
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    19a, what is different (the symbols) between the left side and the right side?

  134. ijarritos
    • one year ago
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    5 and n are switched

  135. phi
    • one year ago
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    and be able to switch order is what property?

  136. ijarritos
    • one year ago
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    commutative?

  137. phi
    • one year ago
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    yes, commute means switch so here, commutative property of addition (same as in Q18a)

  138. ijarritos
    • one year ago
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    then i have no idea for 19b

  139. phi
    • one year ago
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    now 19a to 19b we "move around" parens. what property is "move parens"?

  140. ijarritos
    • one year ago
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    associative

  141. phi
    • one year ago
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    I think of associative as allowing us to add or move parens (5+n) + (-n) drop the parens 5+n + (-n) put in new parens 5+ (n+(-n))

  142. ijarritos
    • one year ago
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    inverse of addition?

  143. phi
    • one year ago
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    notice the pattern is (a+b)+c becomes a+(b+c)

  144. ijarritos
    • one year ago
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    associative property of addition?

  145. phi
    • one year ago
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    19 b is associative prop of add 19 c is ?

  146. ijarritos
    • one year ago
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    omg i was looking at the wrong one

  147. ijarritos
    • one year ago
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    identity for 19c

  148. ijarritos
    • one year ago
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    of addition

  149. phi
    • one year ago
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    what is different between 19b and 19c ?

  150. phi
    • one year ago
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    (n + (-n) ) becomes 0 what property is that ?

  151. ijarritos
    • one year ago
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    inverse of addition

  152. phi
    • one year ago
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    yes. 19C is inverse of addition now what is different between 19C and 19D ?

  153. ijarritos
    • one year ago
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    5+0 = 5

  154. ijarritos
    • one year ago
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    Medals 2

    identity property of addition

  155. phi
    • one year ago
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    yes

  156. phi
    • one year ago
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    now the difference between 19D and 19E ?

  157. ijarritos
    • one year ago
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    then 19e is inverse of miltiplication

  158. phi
    • one year ago
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    yes. Is this making sense?

  159. ijarritos
    • one year ago
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    yes

  160. ijarritos
    • one year ago
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    Theres another side I did before I knew all this

  161. ijarritos
    • one year ago
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    Could you check it?

  162. phi
    • one year ago
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    can you do Q20?

  163. ijarritos
    • one year ago
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    sorry if im asking you for too much haha im still going to rate you best on qualified helper however that works

  164. ijarritos
    • one year ago
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    and I think so

  165. ijarritos
    • one year ago
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    http://i.imgur.com/bXgg5li.jpg Heres the other side

  166. ijarritos
    • one year ago
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    Heres for 20- A- distributive B- identity of multiply C- inverse of addition D- distributive

  167. phi
    • one year ago
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    check 2,8,10,11

  168. ijarritos
    • one year ago
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    ok

  169. phi
    • one year ago
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    20C and 20D are not correct.

  170. ijarritos
    • one year ago
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    Oh

  171. phi
    • one year ago
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    what is the difference between 20B and 20C ?

  172. ijarritos
    • one year ago
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    3 is switched to the other side

  173. phi
    • one year ago
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    and "switching" is what property?

  174. ijarritos
    • one year ago
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    itentity

  175. ijarritos
    • one year ago
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    identity of addition*

  176. phi
    • one year ago
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    if you look on your cheat sheet identity of addition is a+0 becomes a

  177. ijarritos
    • one year ago
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    oh yeah

  178. ijarritos
    • one year ago
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    commutative of addition

  179. phi
    • one year ago
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    yes, 20C is commutative of addition what is different between 20C and 12D ?

  180. ijarritos
    • one year ago
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    associative property of addition

  181. phi
    • one year ago
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    yes. the parens were changed

  182. ijarritos
    • one year ago
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    is 21a commutative property of addition?

  183. phi
    • one year ago
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    what is different between 21 left and right ?

  184. ijarritos
    • one year ago
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    no its associative property of addition

  185. phi
    • one year ago
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    yes

  186. phi
    • one year ago
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    from 21A to 21B, they are using the property "backwards" but you should be able to figure out which property they are using.

  187. ijarritos
    • one year ago
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    umm

  188. phi
    • one year ago
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    write down the difference

  189. ijarritos
    • one year ago
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    multiplication of negative 1?

  190. phi
    • one year ago
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    21A to 21B ? k becomes 1*k

  191. ijarritos
    • one year ago
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    identity of multiplication

  192. phi
    • one year ago
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    yes. notice we went "backwards" from k to k*1 but that is ok. these rules work both ways

  193. phi
    • one year ago
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    what is different between 21B and 21C ?

  194. ijarritos
    • one year ago
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    then identify again?

  195. phi
    • one year ago
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    write down the "before" and "after"

  196. ijarritos
    • one year ago
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    wait what

  197. ijarritos
    • one year ago
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    so for 21b i would put before identity of multiplication?

  198. ijarritos
    • one year ago
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    then after for 21c

  199. phi
    • one year ago
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    yes, but just the part that is different

  200. ijarritos
    • one year ago
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    both of them are identity of multiplication?

  201. phi
    • one year ago
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    (1*k + 1*k) becomes (1+1)*k

  202. ijarritos
    • one year ago
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    tell me how to write it XD I think I have the right answer

  203. phi
    • one year ago
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    which property shows something on the outside of the parens "going inside" (or in this case vice versa)

  204. ijarritos
    • one year ago
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    for 21b and 21c

  205. phi
    • one year ago
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    the change is (1*k + 1*k) becomes (1+1)*k if we write it backwards (1+1)*k becomes (1*k + 1*k) does that look familiar?

  206. ijarritos
    • one year ago
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    Yes

  207. phi
    • one year ago
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    what property is that?

  208. ijarritos
    • one year ago
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    identity of multiplication?

  209. phi
    • one year ago
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    distributive

  210. ijarritos
    • one year ago
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    for 21c?

  211. phi
    • one year ago
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    yes. we are going from (1*k+1*k) to (1+1)*k which is like (ab+ac) to (b+c)*a

  212. ijarritos
    • one year ago
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    im confused about c.5 to d

  213. ijarritos
    • one year ago
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    substitution to d

  214. phi
    • one year ago
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    they are saying 1+1 is replaced with a 2 now from 2k+2 to 2k + 2*1 we change 2 to 2*1 that is the identity prop of mult.

  215. ijarritos
    • one year ago
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    For 21c how does 2*1 go to 2(k+1)

  216. phi
    • one year ago
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    21c is (1+1)k+2 that changes to 2k+2 by substitution of 1+1 with 2 then we change that to 2k+2*1 by ident. prop of mult.

  217. phi
    • one year ago
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    finally 2*k +2*1 becomes 2(k+1) that is the distributive property (backwards)

  218. phi
    • one year ago
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    you should try to drill into your head the pattern A*(B+C) = A*B + A*C and vice versa: AB +AC = A(B+C)

  219. ijarritos
    • one year ago
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    ok!

  220. ijarritos
    • one year ago
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    is 22a identity property of multiplication?

  221. phi
    • one year ago
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    what is different between 22a left side and right side?

  222. ijarritos
    • one year ago
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    x is moved around

  223. phi
    • one year ago
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    switched around? what property?

  224. ijarritos
    • one year ago
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    commutative

  225. phi
    • one year ago
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    for mult.

  226. ijarritos
    • one year ago
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    Yes

  227. phi
    • one year ago
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    now what is different between 22a and 22b ?

  228. ijarritos
    • one year ago
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    x is removed and brackets are added

  229. phi
    • one year ago
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    notice the pattern xA+xB becomes x(A+B) ?

  230. ijarritos
    • one year ago
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    Yes

  231. phi
    • one year ago
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    and what property?

  232. ijarritos
    • one year ago
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    Distributive backwards

  233. phi
    • one year ago
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    yes

  234. phi
    • one year ago
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    22b to 22c . what is different?

  235. ijarritos
    • one year ago
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    is 22c associative property of multiplication?

  236. phi
    • one year ago
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    (y+1) + (-1) becomes y+ (1 + (-1)) we are moving parens, so associative, but we are adding not multiplying

  237. ijarritos
    • one year ago
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    The parentheses are moved in 22d

  238. phi
    • one year ago
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    22c is associative property of addition 22c to 22d the change is (-1 + (-1) ) becomes 0

  239. phi
    • one year ago
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    **(1+(-1)) becomes 0

  240. ijarritos
    • one year ago
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    Inverse property of addition?

  241. phi
    • one year ago
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    yes

  242. ijarritos
    • one year ago
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    then 22d is identity property of addition

  243. phi
    • one year ago
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    yes

  244. ijarritos
    • one year ago
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    thank you so much for helping me learn this!!

  245. phi
    • one year ago
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    OK, I hope it makes some sense. the names of the properties are not very interesting (but they will expect you to remember them), but the properties are important to know.

  246. ijarritos
    • one year ago
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    what about the other side?

  247. ijarritos
    • one year ago
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    2 8 10 11

  248. ijarritos
    • one year ago
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    http://i.imgur.com/bXgg5li.jpg

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