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    What are BODMAS, BIDMAS and PEMDAS?

    BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. BIDMAS and PEMDAS do exactly the same thing but using different words.

    If the above sounds like gobbledegook to you手机500彩票客户端, take a look at our brief video below where Ali explains how it all works.


    What is an Acronym?

    An acronym is a word made up of the initial letters of words in a phrase. Acronyms can be pronounced as separate words.

    Think of NASA and FAQ. They both are pronounced as if they were a word in their own right. However, NASA stands for National Aeronautics and Space Administration and FAQ stands for Frequently Asked Questions.

    In a similar way, the letters in BODMAS, BIDMAS and PEMDAS all stand for words.

    BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics.

    What do the letters in BODMAS, BIDMAS and, PEMDAS stand for?

    In the case of the mathematical acronyms BODMAS, BIDMAS and PEMDAS, they all mean exactly the same thing, and they all serve exactly the same purpose. Here’s what the letters stand for:

    • Brackets
    • Orders
    • Division
    • Multiplication
    • Addition
    • Subtraction
    • Brackets
    • Indices
    • Division
    • Multiplication
    • Addition
    • Subtraction
    • Parenthesis
    • Exponents
    • Multiplication
    • Division
    • Addition
    • Subtraction

    The third series above is the one most often used in the USA whilst UK schools almost always adopt series 1 or series 2 above. When you手机500彩票客户端r child first confronts you手机500彩票客户端 with one of these, you手机500彩票客户端 will do well to remember which one it is because different schools use different ones. By sticking to the same one that you手机500彩票客户端r school uses you手机500彩票客户端 will at least avoid one level of complication.

    What are Orders, Indices and Exponents?

    Orders, Indices and Exponents are the little superscript numbers that represent powers in maths.

    Brackets, Division, Multiplication, Addition and Subtraction are all words with which we are familiar but what of the second element of the acronyms – Orders, Indices or Exponents? These are the “half size numbers” that often occur in mathematical expressions. In the following example the 2 is an index (singular of the plural indices):

    32 = 3 x 3

    What are Mathematical Operations?

    A mathematical operation can be thought of as one of the symbols that make something happen in maths. A multiplication sign (x) means that two numbers need multiplying together whilst an addition sign (+) means that two numbers need adding together. These are operations.

    What is the Correct Order of Operations in Maths?

    The correct order of operations in maths is Brackets, Orders, Division, Multiplication, Addition and Subtraction.

    If you手机500彩票客户端 are using BIDMAS then replace Orders with Indices.

    The whole point of BIDMAS and BODMAS is to help you手机500彩票客户端 remember which operations to do in which order. Unfortunately, mathematics dictate that this is not the order from left to right as you手机500彩票客户端 might expect: Let’s look at a typical example and see if you手机500彩票客户端 get the correct answer:

    2 + 3 x 4

    Did you手机500彩票客户端 conclude that the answer is 20? If so, then you手机500彩票客户端 did the calculation from left to right and said that 2 plus 3 equals 5 and that is then multiplied by 4 to give 20. Unfortunately, in mathematical terms it is wrong!

    If you手机500彩票客户端 look at the rules of BIDMAS/BODMAS you手机500彩票客户端 will see that multiplication comes before addition (the two operations we are dealing with) and therefore you手机500彩票客户端 should have dealt with the Multiplication BEFORE you手机500彩票客户端 dealt with the Addition. Therefore, the correct logic is 3 multiplied by 4 equals 12 and that is then added to the 2 to give 14. 14 is the correct answer.

    I have lost count of the number of times that I have had a parent on the phone who has said, “You have just got to be wrong. Look, I have done it on my calculator and tapped in 2 + 3 x 4 and it always, but always, gives me the answer of 20”.

    Throughout the many thousands of questions on the Education Quizzes site, this issue of the Order of Operations is the one that most often generates a query to our teachers - and when parents seem to have calculators on their side there is little wonder why!

    Orders, Indices and Exponents are the little superscript numbers that represent powers in maths.

    Does the 11-Plus Exam use BODMAS or BIDMAS?

    Generally speaking, no. Now, this might take some believing but in an 11-Plus exam the wrong answer is often marked as correct whilst the correct answer is marked down! This is because some authorities believe that children up to the age of 11 should have no knowledge of the Order of Operations as defined by BIDMAS/BODMAS and therefore they expect the students to erroneously do the calculation from left to right.

    To avoid the possibility of an 11-Plus candidate being marked down for getting the right answer (!) it is imperative that you手机500彩票客户端 check with you手机500彩票客户端r school whether or not the rules of Order of Operations should be applied in mathematical questions.

    What are the rules of BODMAS or BIDMAS?

    BODMAS BIDMAS numbers

    To see how BIDMAS (or BODMAS) rules are applied in more complex scenarios we need to analyse a mathematical expression that contains all the various elements. If you手机500彩票客户端 are ready, then let us begin!

    2 x 20 ÷ 2 + (3+4) x 32 – 6 + 15

    Step 1

    Deal with the Brackets to get:

    2 x 20 ÷ 2 + 7 x 32 – 6 + 15

    Step 2

    Deal with the Indices (if you手机500彩票客户端 are thinking BIDMAS) or the Orders (if you手机500彩票客户端 are thinking BODMAS) to get:

    2 x 20 ÷ 2 + 7 x 9 – 6 + 15

    Step 3

    Division and Multiplication rank equally so deal with these together from left to right to get:

    20 + 63 – 6 + 15

    Step 4

    Addition and Subtraction rank equally so deal with these together from left to right to get:

    92

    TIP: Work it out step-by-step and don't try to take shortcuts.

    I hope this article has helped you手机500彩票客户端 to get to grips with what BODMAS, BIDMAS and PEMDAS are. For a more in-depth look at the Order of Operations, along with some interesting examples, you手机500彩票客户端 might like to try the Wiki article at: but don’t expect to escape without a headache!

    So that’s BODMAS, BIDMAS and PEMDAS explained – is there anything else you手机500彩票客户端’d like to know? Look through our Knowledge Bank if you手机500彩票客户端 have questions about education. We’ve got loads of articles packed full of information, tips and advice for parents. It’s a valuable weapon in any parent’s armoury!

    There's no need to be scared. It's easier than you手机500彩票客户端 thought!

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