Linggo, Agosto 7, 2011

MDAS Rule

What is MDAS Rule?

MDAS Rule is actually a rule to follow when we are going to solve a series of operations, that is the four  fundamental operations of real numbers. MDAS rule stands for MULTIPLICATION, DIVISION, ADDITION  and SUBTRACTION.

How are we going to use this rule?

First we have to perform all multiplications and divisions before performing the additions and subtraction.
In performing all multiplications and divisions, we should solve or read it from left to right. Do not try to solve any multiplication or division since it is easier or convenient to you to solve. Always solve from left to right whatever that comes first.
Follow the same process for additions and subtraction though we can apply the rule of signed numbers or we can also use the commutative law of addition.

Example:

1) 10 x 5 / 25 + 8 - 2 x 2 + 4 - 3
       In solving this we perform first 10 x 5 together with 2 x 2. Giving us;
           50/25 + 8 - 4 + 4 - 3
       Then we have to solve 50/25 before performing the addition and subtraction. So we have,
           2 + 8 - 4 + 4 - 3 which is equal to
          10 - 4 + 4 - 3. And the final answer is
           7.

Try these:


1)  15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
2)  105 / 3 - 35 x 2 + 35 - 70/2 + 35
3)  50 x 3 + 50/2 - 25 + 25/5 x 10


83 komento:

  1. Mga Tugon
    1. I thougth after multiplication and division, it is ADDITION first then SUBTRACTION? Then it should have been:

      10x5/25+8-2x2+4-3(multiply)=
      50/25+8-4+4-3(divide)=
      2+8-4+4-3(add)=
      10-8-3(subtract)=
      -1

      Burahin
    2. you shouldn't add -4+4 as 8 it should be 0

      Burahin
    3. Hindi-nagpakilalaAbril 11, 2013 ng 1:09 AM

      parang (minus) 4 + 4 yun, hindi negative 4 + 4

      Burahin
    4. no, at ease lang ang sign. tsaka wala namang parenthesis.

      Burahin
    5. MDAS as I've understood it today: in solving such problem, MDAS indeed applies yet...

      when it comes to addition and subtraction, addition is not really necessary should be conducted first then. Instead, if the signs left were minus and plus, simplify the factors into its sequence from left to right.

      Burahin
    6. -4+4=8?
      KAHIT CGURO GRADE 1 ALAM YAN EH

      Burahin
    7. mag bobo

      Burahin
    8. Hindi-nagpakilalaAbril 3, 2014 ng 9:52 PM

      . -4+4 must be 0 .

      Burahin
    9. Hindi-nagpakilalaAgosto 5, 2014 ng 5:46 PM

      10 - 4 + 4 - 3 eto ba sinasabe moh ? wala nman parenthesis saka sabi sa article is from left to right.. d mo ba gets..?

      Burahin
    10. TAMA UNG SAGOT WAG KAYO MAG INASO

      Burahin
    11. jose emmanuel glenn javierOktubre 14, 2014 ng 2:24 AM

      always apply the rules .. i am not good in mathematics but then i am aware of it ..

      Burahin
    12. jose emmanuel glenn javierOktubre 14, 2014 ng 2:54 AM

      bear on mind always that there is a multiple intelligence possess by every individual ..

      Burahin
  2. CAS aka LaniXs IT-IIA.. hehe!

    thanks for this informative post mam..

    TumugonBurahin
  3. LSS aka Jayzon IT-11a..heke

    THANKS XA POST...;-)

    TumugonBurahin
  4. BLMO maam ^^

    TumugonBurahin
  5. EJC - eli 1t 11b

    TumugonBurahin
  6. OBL IT-11B
    hai ma'am.... :)

    TumugonBurahin
  7. JTC IT IIA

    TumugonBurahin
  8. JCA IT IIA

    TumugonBurahin
  9. RVD IT IIA

    TumugonBurahin
  10. CML IT IIA

    TumugonBurahin
  11. JBB AKA. JEFFREY B. BAQUERO.
    I WILL OBEY STI MAASIN RULES.

    TumugonBurahin
  12. MGEM IT II-A

    I LIKE THE WAY YOU TEACH US MAAM..THANK YOU

    TumugonBurahin
  13. PRINCESS STEFANI BAQUERO- IT 11A....
    IM YOUR LADY MONSTER.

    TumugonBurahin
  14. JLE IT II-A

    TumugonBurahin
  15. Hindi-nagpakilalaHunyo 18, 2012 ng 3:44 AM

    nice,,tnx sa nag nag post,

    TumugonBurahin
  16. ung Tanong sa number 1 ay impossible
    kasi tignan nyo
    15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
    15 + 35 / 40 + 12 - 28 / 2 - 6
    15 + + 12 - 14 - 6
    pano nyo ddivide ung 35 / 40 ?
    hahaha LMAO
    xDD

    TumugonBurahin
    Mga Tugon
    1. Hindi-nagpakilalaHulyo 11, 2012 ng 7:30 AM

      you can interchange multiplication with division... so it doesn't really matter kung alin ang unahin mo sa kanilang dalawa. is it clear already?

      Burahin
    2. Hindi-nagpakilalaHulyo 28, 2012 ng 2:59 AM

      unahin din kasi yong division....wag kang tumalon sa multiplication..........peace.
      elrica

      Burahin
    3. Hindi-nagpakilalaAgosto 1, 2012 ng 2:49 PM

      "In performing all multiplications and divisions, we should solve or read it from left to right. Do not try to solve any multiplication or division since it is easier or convenient to you to solve. Always solve from left to right whatever that comes first."

      15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
      15 + 7 x 8 + 12 - 28 / 2 - 6
      15 + 56 + 12 - 14 - 6
      63

      Burahin
    4. in MDAS rule should the rule be followed accordingly from Multiplication to Division, Addition & Subtraction? if yes than i think problem 1 doesn't apply the rule. If No, than MDAS rule can be also DMAS rule to enable to solve problem 1. Correct me if i'm wrong. Thanks.

      Burahin
    5. Hindi-nagpakilalaMarso 14, 2013 ng 6:15 AM

      its true, that using MDAS multiplication should comes first before division. but that is not always the case. if multiplication and division are adjacent operations, the operation must be performed from left to right. meaning, the operation which comes first must be performed. same as addition and subtraction.

      15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
      15 + 7 x 8 + 12 - 28 / 2 - 6
      15 + 56 + 12 - 14 - 6
      63

      Burahin
    6. Hindi-nagpakilalaHunyo 26, 2013 ng 5:39 AM

      In performing all multiplications and divisions, we should solve or read it from left to right. Do not try to solve any multiplication or division since it is easier or convenient to you to solve. Always solve from left to right whatever that comes first.

      Gets mo na? ^_^

      Burahin
  17. Hindi-nagpakilalaHunyo 30, 2012 ng 7:33 PM

    na totrololol tlqa utak sa MDAS !!! >.<

    TumugonBurahin
    Mga Tugon
    1. Hindi-nagpakilalaHunyo 30, 2012 ng 7:35 PM

      na totrololol tlqa utak ko sa MDAS !!! >.<

      Burahin
  18. panu pag addition left to right parin ba?
    kasi di ba pag addition right to left ang pag add,tama po ba?
    sa MDAS alin po ang major operation sa kanila..bakit kailanga multiplication ung nauuna?

    TumugonBurahin
    Mga Tugon
    1. Hindi-nagpakilalaEnero 25, 2013 ng 9:32 PM

      hahahaha klaro naman usapan sa MDAS laverne..
      hiniwalay ang (multiplication at division)sa (additon at subtraction)...so depende lang kong sino nauna(multiplication or division vise versa) basta left to right ang pag solve.... ganon din sa addition at subtraction. in every rule, there is an exemption so ito na yon sa MDAS 35/5 X 8 = 7 X 8 = 56 kasi nauna ang division kaysa multiplication. clear?

      Burahin
    2. Hindi-nagpakilalaEnero 31, 2013 ng 9:04 PM

      wla poh bang matinung example kailangan koh poh kcing ma tutunan tung mdas kc poh........bobo aqou sa math ehh pro kung tutulungan nyo poh ako baka sakaling mag pursige poh ako upang ma tutu....

      nais qou lng nman poh na mag bigay kau ng paraan kung pano ang teknect sa pag so solve....... thnk you poh..

      Burahin
  19. 1. 63
    2. 0
    3. 200

    TumugonBurahin
  20. Hindi-nagpakilalaHulyo 17, 2012 ng 4:56 AM

    PROBLEM 1:
    15 + 35 / 5 x 8 + 12 – 7 x 4 / 2 – 6 = ?
    15 + (35 / 5) x 8 + 12 – (7 x 4) / 2 – 6 = ?
    15 + 7 x 8 + 12 – 28 / 2 – 6 = ?
    15 + (7 x 8) + 12 – (28 / 2) – 6 = ?
    15 + 56 + 12 – 14 – 6 = ?
    (15 + 56 + 12) – 14 – 6 = ?
    83 – 14 – 6 = 63
    ANS. 63


    PROBLEM 2:
    105 / 3 – 35 x 2 + 35 – 70 / 2 + 35 = ?
    (105 / 3) – (35 x 2) + 35 – (70 / 2) + 35 = ?
    35 – 70 + 35 – 35 + 35 = ?
    (35 – 70) + 35 – 35 + 35 = ?
    - 35 + 35 – 35 + 35 = ?
    (- 35 + 35) – 35 + 35 = ?
    0 – 35 + 35 = ?
    - 35 + 35 = 0
    ANS. 0


    PROBLEM 3:
    50 x 3 + 50 / 2 – 25 + 25 / 5 x 10 = ?
    (50 x 3) + (50 / 2) – 25 + (25 / 5) x 10 = ?
    150 + 25 – 25 + 5 x 10 = ?
    150 + 25 – 25 + (5 x 10) = ?
    150 + 25 – 25 + 50 = ?
    (150 + 25) – 25 + 50 = ?
    175 – 25 + 50 = ?
    (175 – 25) + 50 = ?
    150 + 50 = 200
    ANS. 200

    *_*

    TumugonBurahin
  21. 1) 15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
    = 15 + 7 x 8 + 12 - 28 / 2 - 6
    = 15 + 56 + 12 - 14 - 6
    = 71 + 12 - 14 - 6
    = 83 - 14 - 6
    = 69 - 6
    = 63
    or
    = 15 + 7 x 8 + 12 - 28 / 2 - 6
    = 15 + 56 + 12 - 14 - 6
    = (15 + 56 + 12 ) - (14 + 6)
    = 83 - 20
    = 63
    2) 105 / 3 - 35 x 2 + 35 - 70/2 + 35
    = 35 - 70 + 35 - 35 + 35
    = -35 + 35 - 35 + 35
    = 0 - 35 + 35
    = -35 + 35
    = 0
    or
    = 35 - 70 + 35 - 35 + 35
    = (35 + 35 + 35 ) - (70 + 35)
    = 105 - 105
    = 0
    3) 50 x 3 + 50/2 - 25 + 25/5 x 10
    = 150 + 25 - 25 + 5 x 10
    = 150 + 25 - 25 + 50
    = 175 - 25 + 50
    = 150 + 50
    = 200
    or
    = 150 + 25 - 25 + 5 x 10
    = 150 + 25 - 25 + 50
    = (150 + 25 + 50) - 25
    = 225 - 25
    = 200

    TumugonBurahin
  22. what if kung addition and subtraction lang yung nakalagay parang ganto

    2-5+4-4+7=?

    anu yung uunahen??

    TumugonBurahin
    Mga Tugon
    1. That will be computed in this way:
      2+4+7-5-4
      =13-9
      =4

      Burahin
    2. Hindi-nagpakilalaMarso 14, 2013 ng 7:12 AM

      if addition and subtraction are adjacent operations, the operation must be performed from left to right. meaning, the operation which comes first must be performed. same as multiplication and division

      2-5+4-4+7=?
      -3+4-4+7=?
      1-4+7=?
      -3+7=?
      4 is the answer

      Burahin
    3. Hindi-nagpakilalaMarso 5, 2014 ng 11:22 AM

      dapat -4

      Burahin
    4. jose emmanuel glenn javierOktubre 14, 2014 ng 2:27 AM

      you should combine the similar terms then proceed to the operation ..

      Burahin
  23. Example:

    1) 10 x 5 / 25 + 8 - 2 x 2 + 4 - 3
    In solving this we perform first 10 x 5 together with 2 x 2. Giving us;
    50/25 + 8 - 4 + 4 - 3
    Then we have to solve 50/25 before performing the addition and subtraction. So we have,
    2 + 8 - 4 + 4 - 3 which is equal to
    10 - 4 + 4 - 3. And the final answer is
    7.

    correct if im wrong...
    10 x 5 / 25 + 8 - 2 x 2 + 4 - 3
    50 / 25 + 8 - 4 + 4 -3
    2 + 8 - 4 + 4 - 3
    10 - 8 -3
    2 - 3
    = -1

    TumugonBurahin
    Mga Tugon
    1. Hindi-nagpakilalaEnero 6, 2013 ng 9:11 PM

      -4+4 = 0

      Burahin
    2. Hindi-nagpakilalaMarso 12, 2013 ng 1:53 AM

      following the MDAS rule the answer is -1

      Burahin
    3. Hindi-nagpakilalaMarso 12, 2013 ng 1:59 AM

      that is: do the addition first, then use the negative (minus) sign and proceed to the next step. that should be written as - (4+4) which becomes -8... always consider the whole equation in performing the MDAS rule...

      Burahin
    4. Hindi-nagpakilalaMarso 14, 2013 ng 7:30 AM

      the answer is 7

      when you enclose the operation in parenthesis, the sign should be included inside. just like this:

      2 + 8 - 4 + 4 - 3
      (+2) + (+8) + (-4) + (+4) + (-3)
      2 + 8 + (-4+4) + (-3)

      Consider the expression Y subtracted by Z. We can write Y-Z as Y+(-Z)

      and not
      2 + 8 - (4+4) - 3

      Burahin
    5. correct if im wrong...
      10 x 5 / 25 + 8 - 2 x 2 + 4 - 3
      50 / 25 + 8 - 4 + 4 -3
      2 + 8 - 4 + 4 - 3
      10 - 8 -3
      2 - 3
      = -1

      you're wrong\
      MDAS rule perform addition first before subtraction
      so to be easy write this way
      2+8+4-4-3=7
      CLEAR?

      Burahin
    6. Hindi-nagpakilalaMarso 5, 2014 ng 4:52 PM

      (10-4+4)-3
      6+4-3
      10-3
      =7 left to right

      Burahin
  24. Para masigurado ang sagot, i-copy paste sa microsoft excel, maunang isulat ang = sign saka i-paste yung equation. palitan din ng * yunng x, saka i-enter.....Sinusunod niyan ang MDAS rule.

    TumugonBurahin
  25. mali ito lahat

    TumugonBurahin
  26. ka ki kriya pahle karo ta piche do bhag guna karo dhan jor do rin ko do ghatay


    HINDI MATHS
    Raman Prakash Mishra
    Patna

    TumugonBurahin
  27. *with MDAS rule:

    15+35/5x8+12-7x4/2-6

    i.e :

    15 +35x8/5 (which is: 280/5) +12 -7x4/2 (which is: 28/2) -6

    =15+280/5+12-28/2-6
    =15+56+12-14-6
    =83-14-6
    =69-6
    =63



    TumugonBurahin
  28. Hindi-nagpakilalaMarso 12, 2013 ng 1:51 AM

    In this example:

    1) 10 x 5 / 25 + 8 - 2 x 2 + 4 - 3
    In solving this we perform first 10 x 5 together with 2 x 2. Giving us;
    50/25 + 8 - 4 + 4 - 3
    Then we have to solve 50/25 before performing the addition and subtraction. So we have,
    2 + 8 - 4 + 4 - 3 which is equal to
    10 - 4 + 4 - 3. And the final answer is
    7.
    NOTE: if we are going to follow the MDAS rule, the answer is -1.

    MDAS: you should always consider the signs used in the equation. and remember the rules in performing the operations with LIKE SIGNS (i.e: +positive, +positive or -negative, -negative) - the answer is always +positive... with UNLIKE SIGNS (i.e: +positive, negative or vice versa) - the answer should always be in a negative sign.

    =(10x5)/25+8- (2x2) +4-3 (here, do the MULTIPLICATION first, then proceed to the next step
    =50/25+8-4+4-3 -DIVISION
    =2+8-4+4-3 -ADDITION
    =(2+8)- (4+4) -3 -Group together those with the same signs using a parenthesis and take note of the sign outside. then the last step -SUBTRACTION
    =10-(8)-3 (thus, it becomes)
    =10-8(unlike sign)-3
    =2-3 (in determining what sign to be used, remember the rules in adding unlike signs. you should always use the sign of the larger number in determining the sign to be used in your final answer.
    = -1

    TumugonBurahin
    Mga Tugon
    1. 10x5/25+8-2x2+4-3
      i may group it by parenthesis

      [10x5]/25 + [8] - [2x2] + [4] - [3]
      50/25 + [8] - [ 4 ] + [4] - [3]

      bear in mind that inside the parenthesis are positive digits
      [4] or [+4] // [3] or [+3], if outside the parenthesis is negative sign, the entire sign inside the parenthesis will change as well.
      so it goes like this :

      [50/25] + [8] - [+4 ] + [+4] - [+3]
      2 +8 -4 +4 -3
      = 7

      make sense?

      Burahin
  29. Hindi-nagpakilalaAbril 8, 2013 ng 9:56 PM

    I think the answer is correct, meaning there is nothing wrong with the computations. MDAS is correctly applied.

    What i remember (hopefully i'm not wrong)

    MDAS is divided into 2 parts: MD and AS

    MD clusters should be computed first before AS clusters

    In MD, it doesn't mean you need to compute "M" before "D".
    eg.: 4 x 3/3 =4 can be also written as
    3/3 x 4=4 or sometimes written as
    4/1 x 3/3 =4 whatever comes first the answer
    is still the same

    It is also the same with AS.
    eg. : 5-4+3-2+1 = 3 or
    -4+5-2+3+1 =3 or
    1-4+5+3-2 = 3
    *why +5 and not -5? we should always remember
    that a number is always positive(+) unless indicated negative(-)

    Note: Do not be confused with those with Parenthesis/brackets/braces as it talks about different order of computing.
    Puting Parenthesis/brackets/braces is used to modify the order of the computation following Inner to outer manner of computations

    TumugonBurahin
  30. Hindi-nagpakilalaHunyo 10, 2013 ng 9:42 AM

    nd q talag maintindihan ang mdas sorry n lng sakin???

    TumugonBurahin
  31. Hindi-nagpakilalaHunyo 18, 2013 ng 2:48 AM

    Wat if kung ganito
    8+4÷2=

    TumugonBurahin
    Mga Tugon
    1. Hindi-nagpakilalaHulyo 15, 2013 ng 1:19 AM

      do division before addition so you get 10. gets mo? :)

      Burahin
  32. Hindi-nagpakilalaHunyo 25, 2013 ng 1:46 AM

    what if 27-8/4?

    TumugonBurahin
  33. Hindi-nagpakilalaHulyo 15, 2013 ng 1:18 AM

    bobo nman yng mga foreigner d2. and dali2 lng ng mdas rule. matalino ang mga pnoy. mlayong mas mgaling. mgaling din ang mga chinese and koreans. i believe that asia should be the most dominant continent, not the americas nor europe or africa or even australia.

    TumugonBurahin
    Mga Tugon
    1. paano naman 2 removing grouping symbol
      -35+13x3-2{-5[100/20x3-10(3-8/2)-5x5]=28-4-18/3}=18/9 ???

      Burahin
  34. I have a Question plZ answer it ! 7+7X0= ? what is the answer do we need to use MDAS ??

    TumugonBurahin
  35. zero... zero ang multiplier mo e...

    TumugonBurahin
  36. Naalis ng may-ari ang komentong ito.

    TumugonBurahin
  37. 1) 15 + 35/5 x 8 + 12 - 7 x 4 / 2 - 6
    15+7x8+12-14-6
    15+56+12-14-6
    83-14-6
    69-6
    =63

    2) 105 / 3 - 35 x 2 + 35 - 70/2 + 35
    35-70+35-35+35
    35-105-70
    35-35
    =0

    3) 50 x 3 + 50/2 - 25 + 25/5 x 10
    150+25-25+5x10
    150+25-25+50
    175-25
    =200

    ^^

    TumugonBurahin
  38. supercalifragilisticexpialidocious

    TumugonBurahin
  39. Hindi-nagpakilalaHulyo 12, 2014 ng 4:31 AM

    Ohhh so hard naman こにちわ

    TumugonBurahin
  40. Hindi-nagpakilalaAgosto 6, 2014 ng 2:36 AM

    PAano po kapag nauna division sa number sentence uunahin pa din po ba ang multiplication o susundin lang po yung operation Ng mdas una po multiplication bago division?

    TumugonBurahin
    Mga Tugon
    1. Kpg nauna ang division sa number sentence sya ang uunahin pero kpg ang multiplication ang una sya ang una from left to right lng yan pero kpg nmn wla ung Multiplication at Division (minsan kc wla) left to right prin ang susundin.......

      Burahin
  41. Kapag ganito po ung problem,panu po ito isolve?
    MDAS RULE din po ba?

    4×4+4×4+4-4×4=?
    Anu po ung sagot dito?

    TumugonBurahin
    Mga Tugon
    1. 4X4+4X4+4-4X4
      16+16+4-16
      36-16
      20

      Burahin
  42. Tama nmn ung lecture.. try nyo sa MSExcel......7 ang sagot :)

    TumugonBurahin
  43. -4 + 4 = 0 ,,,, ang daming tanga naman ,,,,

    TumugonBurahin