juciystar234
8- 6.2 divided by 5 + 7(0.91)
help me please
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niduj123
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13.3
juciystar234
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My textbook says 13.13 so I was wondering how they got that.
Can you show me/ Tell me how you got that answer because I'm kinda confused...
niduj123
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its easy bc its basic order of operations
juciystar234
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Yeah I know NVM :) thanks
niduj123
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can i hav a medal o.O
niduj123
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tyvm
juciystar234
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np
asnaseer
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for this:\[\frac{8- 6.2}{5 + 7(0.91)}\]
you need to follow BODMAS - have you heard about that?
juciystar234
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Ok let me check it out hold on
asnaseer
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look at the 2nd section "The standard order of operations"
juciystar234
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Ok hold on hmm SO MANY WORDS!! D:
niduj123
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lol typical wikipedia
juciystar234
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Ok I kinda got it
juciystar234
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(not really so much)
niduj123
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kwl i hope u pass :)
asnaseer
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good - so first thing to attack is the brackets
juciystar234
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Thanks
juciystar234
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Ok
niduj123
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^^...
asnaseer
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in this case the brackets just contain a number - so no actual operation to perform inside the brackets
juciystar234
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ok
asnaseer
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we can therefore remove the brackets to end up with:\[\frac{8- 6.2}{5 + 7(0.91)}=\frac{8- 6.2}{5 + 7*0.91}\]
juciystar234
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:p
juciystar234
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Mhm ok
juciystar234
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hmmm
ok im confused...
asnaseer
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lets jus concentrate on the denominator for now, we had:\[5+7(0.91)\]correct?
juciystar234
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yes
asnaseer
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now note that a(b) simply means a*b - agreed?
juciystar234
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ok
juciystar234
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agreed
asnaseer
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so we can say that:\[5+7(0.91)=5+7*0.91\]
asnaseer
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does that make sense now?
juciystar234
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ok got tht
juciystar234
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yes
asnaseer
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good - now what should the next set of operations be?
asnaseer
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we have handled the brackets
juciystar234
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um to multiply?>
juciystar234
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sorry didnt mean to put >
asnaseer
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it should be exponents and roots next - but you do not have any here
so we go to the next one: multiplication an division
juciystar234
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Yea!! Ok
asnaseer
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so what is 7 * 0.91 = ?
juciystar234
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Um hold on
juciystar234
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6.37
asnaseer
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correct, so now we end up with:\[\frac{8- 6.2}{5 + 7(0.91)}=\frac{8- 6.2}{5 + 7*0.91}=\frac{8- 6.2}{5 + 6.37}\]now most people get confused here because they think the next thing to do is the division
juciystar234
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wouldnt you add? or subtract?
juciystar234
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add?
asnaseer
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but what you need to remember is that you go through BODMAS for the numerator and the denominator seperately
juciystar234
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ok
asnaseer
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hang on a second - I think I misread your question
asnaseer
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I believe it was this instead:\[8- 6.2 \div 5 + 7(0.91)\]
asnaseer
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am I right?
juciystar234
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yes
juciystar234
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wait
juciystar234
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yes
asnaseer
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ok, sorry I originally interpreted it as:\((8- 6.2) \div (5 + 7(0.91))\)
juciystar234
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ohhh ok
asnaseer
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so lets start again - ok?
juciystar234
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ok
asnaseer
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\[8- 6.2 \div 5 + 7(0.91)\]first step - brackets to get:\[8- 6.2 \div 5 + 7(0.91)=8- 6.2 \div 5 + 7*0.91\]next is exponents/root but we have none
next is multiplication/division - we have both, so you did 7*0.91 = 6.37\[8- 6.2 \div 5 + 6.37\]
asnaseer
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thats how far we got
asnaseer
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so next we should do what?
juciystar234
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add?
juciystar234
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or no subtract
asnaseer
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nope - have a closer look at what is still left
juciystar234
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like left to right but switch add with division
asnaseer
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it should be division next
juciystar234
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so divide?
juciystar234
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ok
asnaseer
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so what is 6.2 divided by 5 = ?
juciystar234
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ok hold on
asnaseer
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(a quick trick to divide by 5 is to divide by 10 and then halve the result)
juciystar234
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|dw:1347581921786:dw|
juciystar234
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sorry i was drawing :P
asnaseer
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that is not correct
juciystar234
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o.o
juciystar234
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ok :) so now how do i do it ? :|
asnaseer
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the /quick/ method or using long division like you attempted up there?
juciystar234
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or like were did i mess up
juciystar234
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um i guess....
juciystar234
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go on
asnaseer
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|dw:1347582167712:dw|
juciystar234
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oh
juciystar234
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i get it!!!
juciystar234
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my decimal messed me up..
asnaseer
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the other way is 6.2 divided by 10 is 0.62
double that is 0.62 + 0.62 = 1.24
(sorry I incorrectly stated you halve the result up there - it should be double the result after dividing by 10)
juciystar234
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Hmmm ok
asnaseer
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ok, so we now have:\[8- 6.2 \div 5 + 6.37=8-1.24+6.37\]
asnaseer
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the rest should now be straight forward
juciystar234
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so adding?
asnaseer
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sure
juciystar234
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ok
asnaseer
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but be careful with the signs
juciystar234
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I got this part let me draw it for you
juciystar234
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|dw:1347582462471:dw|
asnaseer
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remember the 1.24 has a minus sign next to it
asnaseer
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so this is really "-1.24 + 6.37"
juciystar234
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no thats not a negative its a minus
asnaseer
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so it might be better to first do "8 - 1.24"
juciystar234
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ok
juciystar234
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6.76?
juciystar234
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then add
asnaseer
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think of it in this way:\[8- 6.2 \div 5 + 6.37=8-1.24+6.37=8+(-1.24)+6.37\]
asnaseer
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yes add next
juciystar234
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ok so 13.13
asnaseer
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I was trying to explain why you had to do "-1.24 + 6.37" previously
juciystar234
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Yaaa i got it my text book says that but i needed to work it out thank you!!!!!
asnaseer
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yes - that is the correct answer
juciystar234
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ok
asnaseer
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yw :)
juciystar234
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Thanks once again!! :D
asnaseer
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np :)