8- 6.2 divided by 5 + 7(0.91)
help me please

- anonymous

8- 6.2 divided by 5 + 7(0.91)
help me please

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- anonymous

13.3

- anonymous

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...

- anonymous

its easy bc its basic order of operations

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- anonymous

Yeah I know NVM :) thanks

- anonymous

can i hav a medal o.O

- anonymous

tyvm

- anonymous

np

- asnaseer

for this:\[\frac{8- 6.2}{5 + 7(0.91)}\]
you need to follow BODMAS - have you heard about that?

- asnaseer

it is known by other names as well, see here: http://en.wikipedia.org/wiki/Order_of_operations

- anonymous

Ok let me check it out hold on

- asnaseer

look at the 2nd section "The standard order of operations"

- anonymous

Ok hold on hmm SO MANY WORDS!! D:

- anonymous

lol typical wikipedia

- anonymous

Ok I kinda got it

- anonymous

(not really so much)

- anonymous

kwl i hope u pass :)

- asnaseer

good - so first thing to attack is the brackets

- anonymous

Thanks

- anonymous

Ok

- anonymous

^^...

- asnaseer

in this case the brackets just contain a number - so no actual operation to perform inside the brackets

- anonymous

ok

- asnaseer

we can therefore remove the brackets to end up with:\[\frac{8- 6.2}{5 + 7(0.91)}=\frac{8- 6.2}{5 + 7*0.91}\]

- anonymous

:p

- anonymous

Mhm ok

- anonymous

hmmm
ok im confused...

- asnaseer

lets jus concentrate on the denominator for now, we had:\[5+7(0.91)\]correct?

- anonymous

yes

- asnaseer

now note that a(b) simply means a*b - agreed?

- anonymous

ok

- anonymous

agreed

- asnaseer

so we can say that:\[5+7(0.91)=5+7*0.91\]

- asnaseer

does that make sense now?

- anonymous

ok got tht

- anonymous

yes

- asnaseer

good - now what should the next set of operations be?

- asnaseer

we have handled the brackets

- anonymous

um to multiply?>

- anonymous

sorry didnt mean to put >

- asnaseer

it should be exponents and roots next - but you do not have any here
so we go to the next one: multiplication an division

- anonymous

Yea!! Ok

- asnaseer

so what is 7 * 0.91 = ?

- anonymous

Um hold on

- anonymous

6.37

- asnaseer

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

- anonymous

wouldnt you add? or subtract?

- anonymous

add?

- asnaseer

but what you need to remember is that you go through BODMAS for the numerator and the denominator seperately

- anonymous

ok

- asnaseer

hang on a second - I think I misread your question

- asnaseer

I believe it was this instead:\[8- 6.2 \div 5 + 7(0.91)\]

- asnaseer

am I right?

- anonymous

yes

- anonymous

wait

- anonymous

yes

- asnaseer

ok, sorry I originally interpreted it as:\((8- 6.2) \div (5 + 7(0.91))\)

- anonymous

ohhh ok

- asnaseer

so lets start again - ok?

- anonymous

ok

- asnaseer

\[8- 6.2 \div 5 + 7(0.91)\]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

thats how far we got

- asnaseer

so next we should do what?

- anonymous

add?

- anonymous

or no subtract

- asnaseer

nope - have a closer look at what is still left

- anonymous

like left to right but switch add with division

- asnaseer

it should be division next

- anonymous

so divide?

- anonymous

ok

- asnaseer

so what is 6.2 divided by 5 = ?

- anonymous

ok hold on

- asnaseer

(a quick trick to divide by 5 is to divide by 10 and then halve the result)

- anonymous

|dw:1347581921786:dw|

- anonymous

sorry i was drawing :P

- asnaseer

that is not correct

- anonymous

o.o

- anonymous

ok :) so now how do i do it ? :|

- asnaseer

the /quick/ method or using long division like you attempted up there?

- anonymous

or like were did i mess up

- anonymous

um i guess....

- anonymous

go on

- asnaseer

|dw:1347582167712:dw|

- anonymous

oh

- anonymous

i get it!!!

- anonymous

my decimal messed me up..

- asnaseer

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)

- anonymous

Hmmm ok

- asnaseer

ok, so we now have:\[8- 6.2 \div 5 + 6.37=8-1.24+6.37\]

- asnaseer

the rest should now be straight forward

- anonymous

so adding?

- asnaseer

sure

- anonymous

ok

- asnaseer

but be careful with the signs

- anonymous

I got this part let me draw it for you

- anonymous

|dw:1347582462471:dw|

- asnaseer

remember the 1.24 has a minus sign next to it

- asnaseer

so this is really "-1.24 + 6.37"

- anonymous

no thats not a negative its a minus

- asnaseer

so it might be better to first do "8 - 1.24"

- anonymous

ok

- anonymous

6.76?

- anonymous

then add

- asnaseer

think of it in this way:\[8- 6.2 \div 5 + 6.37=8-1.24+6.37=8+(-1.24)+6.37\]

- asnaseer

yes add next

- anonymous

ok so 13.13

- asnaseer

I was trying to explain why you had to do "-1.24 + 6.37" previously

- anonymous

Yaaa i got it my text book says that but i needed to work it out thank you!!!!!

- asnaseer

yes - that is the correct answer

- anonymous

ok

- asnaseer

yw :)

- anonymous

Thanks once again!! :D

- asnaseer

np :)

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