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Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

How do you solve this basic math problem? Could someone please explain step by step?

10+2*(5+20/2*5)-2*2/2*2= ? (the result should be 116)

I don't know what am I doing wrong. Everytime I try to solve this problem I get the answer 69 and not 116. Can someone please explain step by step how you should calculate in order to get to the correct answer?( 116)

Thanks so much!

7 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    Brackets first

    (5+20/2*5)

    Then division is first.

    20/2 =10

    10*5 =50

    5+50=55

    2*55 =110

    10+110=120

    Now on the other side of the minus sign. There is both multiplication and division. Since you did division first on the left, do division first.

    2/2 =1

    2*1*2 =4

    Therefore 120-4 = 116

  • Paul
    Lv 7
    9 years ago

    The correct answer is 116 but you need to use the proper algebraic priorities. Think of this acronym to help you remember:

    BIDMAS

    Brackets

    Indeces

    Division & Multiplication

    Addition & Subtraction

    Remember addition and subtraction last.

    So let's look at 2^(5+20/2^5)

    right the brackets are evaluated first but within the brackets we have a multiplication and division, so we do the multiplication first

    2*5 = 10

    20/2 = 10

    10*5 = 50 (if you wanted to do 20/10 you needed to have the 2*5 bit in brackets otherwise teh 20 is divided by 2 and then the result multiplied by 5 as division and multiplication are on the same priority)

    5+50 = 55

    2*55 = 110

    10+ 110 = 120

    now for the subtraction

    2*2 =4

    4/2 = 2

    2*2 =4

    Therefore our whole expression simplifies to 120-4 = 116

    Hope this helps.

  • 9 years ago

    First simplify the fractions... 20/2*5 = 20/10 =2 and 2*2/2*2 = 4/4 = 1

    Then it is 10+ 2*(5 + 2) - 1 = 10 + 14 -1 = 23

    Maybe it is written in diferent form... if 20/2*5 is (20/2)* 5 then it is 50

    And if 2*2/2*2 is (2*2/2)*2 then it is 4

    Then it is 10+ 2*(5 + 50) - 4 = 10 + 110 - 4 = 116 . OK!

  • ?
    Lv 7
    9 years ago

    10 + 2*(5 + 20/2*5) - 2*2/2*2

    Do the divisions first

    = 10 + 2*(5 + 10*5) - 2*1*2

    = 10 + 2*(5 + 50) - 4

    = 10 + 2*(55) - 4

    = 10 + 110 - 4

    = 116

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  • 9 years ago

    10 + 2*(5 + (20/2)*5) - 2*(2/2)*2 = 10 + 2*55 - 4 = 116, answer!

  • ?
    Lv 4
    5 years ago

    Good enough so you want to get the variable (x) on one part of the equation, so that the opposite side will say precisely what "x" is. To do this you ought to do away with the +6 on the right part. For those who subtract 6 from each side then you definitely get 5x+6-6=31-6 which will also be simplified to 5x=25. Then you definately handiest want one x on the right, now not 5. So that you divide each side by way of 5 and become with x=5. Hope this helped!

  • 9 years ago

    have u ever heard of BIDMAS? it stands for brackets, indices, division, multiplication, addition and subtraction. it means that thats the order u do it in your sum so before u do anything u have to do ur brackets, then your indices then the division then the multiplication then the addition then the subtraction or u could do it on a calculator

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