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Mathematics 11 Online
OpenStudy (anonymous):

SIMPLIFY THE EXPRESSION. Picture included.

OpenStudy (anonymous):

My work for this ended up giving me -22/80...So I did something wrong but I can't figure out what? I'm so lost. i understood it for the previous question and for some reason, not for this one.

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

You're almost there

ganeshie8 (ganeshie8):

\[\large -\dfrac{3}{8} - \frac{1}{10} = - \left(\large \dfrac{3}{8} + \frac{1}{10}\right)\]

ganeshie8 (ganeshie8):

\[\large = - \left(\large \dfrac{3(10) + 1(8)}{8(10)} \right)\]

ganeshie8 (ganeshie8):

\[\large = - \left(\large \dfrac{38}{80} \right)\]

ganeshie8 (ganeshie8):

cancel "2" in both numerator and denominator

OpenStudy (anonymous):

Oh! i think i see where I went wrong! In my equation, I had it as -3(10) + 8(1) over 8(10) so then I got -22.

OpenStudy (anonymous):

yeah. oh. crap. I just looked at my answer options and 38/80 isn't one of them. Do I need to do something else to get an answer?

ganeshie8 (ganeshie8):

yes we can simplify it further

OpenStudy (anonymous):

Alright, how do I do that?

ganeshie8 (ganeshie8):

\[\large = - \left(\large \dfrac{38}{80} \right) \] 2 goes in both numerator and denominator : \[\require{cancel} \large = - \left(\large \dfrac{\cancel{38}^{19}}{\cancel{80}^{40}} \right) \]

OpenStudy (anonymous):

ohhhhhhhh. I get it now! Thank you very much :D

ganeshie8 (ganeshie8):

\ \[\require{cancel} \large = - \dfrac{19}{40}\]

ganeshie8 (ganeshie8):

its NEGATIVE 19/40 ok

OpenStudy (anonymous):

Yeah :D While you're here, how do I get the answer for |18 - 6|? Don't I just subtract 6 from 18?

ganeshie8 (ganeshie8):

Yes! with some respect for the side absolute bars

OpenStudy (anonymous):

Alright, great! Thanks :)

ganeshie8 (ganeshie8):

they just tell you to take "positive" of whatever u get

ganeshie8 (ganeshie8):

|18-6| = |12| = 12

ganeshie8 (ganeshie8):

also |6-18| = |-12| = 12

OpenStudy (anonymous):

ahhh, okay. thank you :) okay, so I just did two questions that were easy and now I've got a stumper..I'm totally lost with this one.

OpenStudy (anonymous):

I've tried to do this exact question like four times within the past hour and I can't seem to get it right although it looks fairly simple.

ganeshie8 (ganeshie8):

add up positive terms first

ganeshie8 (ganeshie8):

\[\large 2.5 - 3.1 - 3.86 + 2.7 - 4.01\] \[\large ( 2.5 + 2.7) - (3.1 + 3.86+ 4.01)\]

ganeshie8 (ganeshie8):

2.5 + 2.7 = ?

OpenStudy (anonymous):

5.2?

ganeshie8 (ganeshie8):

yes! whats 3.1 + 3.86 + 4.01 = ?

OpenStudy (anonymous):

10.97?

ganeshie8 (ganeshie8):

You're good !

OpenStudy (anonymous):

So the equation becomes 5.2 - 10.97?

OpenStudy (anonymous):

awe, thank you very much, haha xD It's thanks to you, you're teaching me, haha.

ganeshie8 (ganeshie8):

\[\large 2.5 - 3.1 - 3.86 + 2.7 - 4.01\] \[\large ( 2.5 + 2.7) - (3.1 + 3.86+ 4.01)\] \[\large (5.2) - (10.97)\] \[\large -5.77\]

OpenStudy (anonymous):

Alright. I understand how we arrived to this answer. It should help me answer the similar problems! Thank you very much :) If I need your help I will tag you again because you're better than most teachers I've had, haha.

OpenStudy (anonymous):

Okay, I just want to ask a quick thing about my next question...It is |-x - 2y|. x is -2 and y is 3. Since x is -2, would it turn it into |-2 - 2(3)| or would the fact that it is -x cancel out the negative with the -2 and make it positive?

OpenStudy (anonymous):

Sorry if that did not make sense haha

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