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raphaelll

  • one year ago

Evaluate the following. Write down the question and all steps of your solution. 16x4+3(2 ³ x5)

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  1. zepdrix
    • one year ago
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    \[\large\rm 16\times4+3\left(2^3\times5\right)\]Remember your PEMDAS or something similar? It tells us how to prioritize these operations. P = Parentheses. That takes the highest priority. So we have to start here: \(\large\rm 2^3\times5\) Now that we're in this room, within the brackets... What do we prioritize first, Exponent, or Multiplication?

  2. raphaelll
    • one year ago
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    I don't think i've ever heard of PEMDAS however since the second letter is E i would assume exponent?

  3. zepdrix
    • one year ago
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    Good. So apply the exponent BEFORE doing multiplication. \(\large\rm 2^3=2\cdot2\cdot2=8\) So within the brackets we have \(\large\rm 8\times5\)

  4. zepdrix
    • one year ago
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    \[\large\rm 16\times4+3\left(2^3\times5\right)\]\[\large\rm 16\times4+3\left(8\times5\right)\]\[\large\rm 16\times4+3\left(40\right)\]Now that we've done everything in the brackets, we can drop the brackets and just treat it as multiplication.\[\large\rm 16\times4+3\times40\]So what next? Addition or multiplication? :)

  5. raphaelll
    • one year ago
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    multiplication first

  6. zepdrix
    • one year ago
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    k good :d do the multiplication for both of those groups, what do you get?

  7. raphaelll
    • one year ago
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    64 + 120

  8. zepdrix
    • one year ago
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    cool \c:/ looks correct!

  9. zepdrix
    • one year ago
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    Raphael, hmmmm wasn't that one of the Ninja Turtles? ;O

  10. raphaelll
    • one year ago
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    Cool thank you! i really need to remember PEMDAS, made it really simple, and yeah haha my parents named me after the saint though :)

  11. zepdrix
    • one year ago
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    oh cool :)

  12. raphaelll
    • one year ago
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    Thanks for your help!

  13. zepdrix
    • one year ago
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    I generally prefer to write it like this:|dw:1441615777129:dw|Because you are NOT suppose to prioritize multiplication above division. They are on the same level. When you have a problem involving multiplication AND division steps, you'll need to deal with them `from left to right`, you don't necessarily do the multiplication first. Example:\[\large\rm 100\div5\times4\times3\]You would do the \(\large\rm 100\div5\) step FIRST since it is further to the left.

  14. zepdrix
    • one year ago
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    Just something to keep in mind :)

  15. raphaelll
    • one year ago
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    Got it, so when it comes to questions that have multiplication and division , left to right is the order to do it in. Also, whilst you're here, how would i go about doing a question which was 8 to the power of negative 6 X 8 to the power of three since there is a negative power?

  16. zepdrix
    • one year ago
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    Oh I posted response in your original question. Click the notification to get back to it :D

  17. zepdrix
    • one year ago
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    The little sign post in the upper left corner with the orange popup on it.

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