This might look familiar but I have yet to discover a totally conclusive explanation.We space both using BODMAS, might I add.My answer come this is $-13$, mine calculation is together follows:$$-3 imes 6=-18$$$$-18+2=-16$$ i m sorry then leaves us through $3-16=-13$

That is exactly how I operated this out and also I"m not sure if it"s exactly but virtually every other website I have actually viewed has likewise come come the exact same conclusion together me. A many these other sites were additionally jajalger2018.orgematics websites.

You are watching: What is 3 minus 3 times 6 plus 2

My brothers has come to the conclusion the the prize is $-17$.He operated this placed by the adhering to calculation:

$$3 imes 6=18$$$$18+2=20$$$$3-20=-17$$

Please inform us of which is the correct answer, and I would certainly be very grateful if girlfriend could provide us through an explanation.

If the answer is $-13$ climate why execute we use the $-3$ instead of the $3$?

All details would be greatly appreciated.


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edited Feb 21 2016 at 16:55
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Kamil Jarosz
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asked Feb 19 2016 at 22:04
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R AlqoR Alqo
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Your price is right. Her brother"s is wrong.

$3 - 3*6+2 = $

$3 - 18 + 2 = $

You both agree ~ above this lot right?

Your brother"s mistake happens here:

$3 - 20$

He"s not following bedmas here due to the fact that he"s not working from left come right.

Left come right, we"d calculation 3-18 first, so us get:

$-15+2$

$-13$

Remember in BEDMAS.... The DM (divide multiply) is together...and have to be excellent left to right. For this reason if division appears very first you division first. If a multiplication shows up before a division, girlfriend multiply an initial then divide.

Similarly as (addition,subtraction) is together and also should be done left to best in order of appearance. Therefore if a individually appears an initial you have to subtract first. If an addition appears very first you include first.

ie: DM doesn"t median divide prior to multiply. As doesn"t mean addition before subtraction. DM and AS space together.


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answer Feb 19 2016 in ~ 22:25
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Ameet SharmaAmeet Sharma
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The conflict came native the visibility of the minus sign in the expression $3-3 imes 6 +2$. The correct interpretation is the a minus sign method the amount of opposing of the term the follows, so, in this situation we need to learn: $$3+(-(3 imes6))+2$$now, due to the fact that $3 imes 6=18$, its the contrary is $-(3 imes6)=-18$ and also the sum becomes $3+(-18)+2$. Currently we deserve to use associativity and compute $3+(-18)=-15$ than $-15+2=-13$


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answer Feb 19 2016 at 22:30
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Emilio NovatiEmilio Novati
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There is an agreed convention that, in the lack of brackets, $ imes $ and $/$ (division) room done first, in left-to-right order, complied with by $+$ and $-$, from left to right.This is a convenience, to mitigate the amount of brackets that room needed. Expressions enclosed in brackets room to evaluated within the brackets before combining them v anything outside the brackets. There is no the convention we would need to write $((3-(3 imes 6))+2 =-13.$


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reply Feb 19 2016 in ~ 22:35
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DanielWainfleetDanielWainfleet
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BODMAS simply stands for brackets, order, division, multiplication, addition, subtraction. The natural implication is that enhancement comes before subtraction however this is not correct.

As pointed out in vault answers, addition and individually should just be brought out left come right. This crucial point is rarely taught or remembered.

BODMAS should never be employed as an instruction technique since the does an ext harm 보다 good.


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reply Feb 21 2016 in ~ 16:51
paulharveypaulharvey
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The just "dispute" arises due to the fact that of a selection of stimulate in which to execute the operations. You determined one order and also your brother chose another : it wake up to be the situation that the order girlfriend performed the work is the "standard" one. My very own view is that it is much better to incorporate the base in such an expression, therefore that any type of necessity for a decision around order is removed.


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answered Feb 21 2016 at 16:59
Geoff RobinsonGeoff Robinson
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