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Order of Operation Calculator

2 years ago

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43 Replies

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3639 views

M

Martin

Hi Folks,


I have made a calculator to help settle arguments that come up about order or operations type questions.

Does divide come before multiply etc.


You can click in the expression like 1+2*3 = 7 or 9..?

A longer expression becomes less clear.


https://www.bodmas-calculator.com/


The expression is drawn as a tree, the tree can be collapsed revealing the result.


Be nice to have folks to see it since I've put an inordinate amount of time into creating it.


cheers

Martin

43 Answers

V
Vedika

It is an excellent tool

P
Paloma López

This will be so helpful for the students! It's a great calculator, congratulations.


Paloma

Roshan V Profile Picture
Roshan V Verified Sherpa Tutor ✓

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Hi Martin,


Thank you for reaching out. In Mathematics, we use the acronym BODMAS, for the order in which we do operations

Brackets

Order (e.g. x^2, y^3 etc)

Division

Multiplication

Addition

Subtraction


For the above example, we would do MULTIPLICATION before ADDITION

2*3 = 6

1 + 6 = 7


The correct answer is therefore 7. If you are unsure or have any questions, please do not hesitate to ask!


Kind regards,


Roshan :)

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Elizabeth S Profile Picture
Elizabeth S Verified Sherpa Tutor ✓

Qualified Teacher with a desire to help students with Maths and more

The order of operations are known as BIDMAS. This is used to determine what part of a mathematical sentence you do first, second and so on. B is first it is short for brackets anything in a bracket needs to be addressed first. I is indices so if you have a number that has a little number at the top right hand corner that is next, remember the indices is how many times you you multiply the digit so for an example if it is 4 with a little 3 it is 4x4x4, 4x4 is 16, 16x4 is 64. D stands for division, which is the next step, M is multiplication and finally A and S are addition and subtraction.

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Simran A Profile Picture
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BODMAS stands for .Brackets, Orders, Division, Multiplication, Addition, Subtraction. So to solve 1+2*3, first comes multiplication that is 2*3=6 and then addition that is 6+1=7. So the answer is 7.

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Silvanus Profile Picture
Silvanus Verified Sherpa Tutor ✓

22 yrs experience in teaching GCSE/A-Level Maths, Physics & Chemistry

So, long ago people agreed to follow rules when doing calculations, and the rule is denoted by BODMAS:


The RULE of calculation operation is denoted by BODMAS.


Evaluate the terms in the bracket first, followed by Order (Powers and Square Roots etc.), Division, Multiplication, Addition then Subtraction.


B Brackets first

O: Orders (i.e. Powers and Square Roots, etc.)

DM: Division and Multiplication (left-to-right)

AS: Addition and Subtraction (left-to-right)


yes5 × 22=5 × 4=20 Correct

 not 5 × 22=102=100 Wrong


yes 4 × (5 + 3)=4 × 8=32 Correct

 not 4 × (5 + 3)=20 + 3=23 wrong


yes 2 + 5 × 3=2 + 15=17 Correct

 not 2 + 5 × 3=7 × 3=21 wrong


yes 30 ÷ 5 × 3=6 × 3=18 Correct

 not 30 ÷ 5 × 3=30 ÷ 15=2 wrong


Cheers.


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U
Usama Nasir

So with the bodmas rule, you have to multiply 2 and 3 first and then add it with 1.


So the answer will be 7

A
Ali Shamsadin

The correct answer is 7 According to BODMAS multiplying comes first then adding

Lukman Profile Picture
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Hi Martin,


BODMAS stands for Brackets/Order of powers/Divide/Multiply/Add/Subtract. In any Order of Operation task, you would follow this order from the acronym.


So in answer to your question above, you would Multiply the 2 and 3 together first (=6) then simply add 1 (6 + 1 = 7).


Hope that helps!

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M
Mohammad Yahya Sherzad

1+2*3=9 We add before we multiply

Liam B Profile Picture
Liam B Verified Sherpa Tutor ✓

Ace your Physics and Maths GCSEs content and exam prep techniques

Great Resource for helping KS3 students with understanding and practicing BODMAS/BIDMAS

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A
Anusha Iyer

7 will be the Asnwer

M
Malcolm Wallace

should read 1 + (2*3). Work out the calculation in the brackets first


Does divide come before multiple

eg 7 * 9/3 - makes no difference which way round you do it

ie 63/3 is the same as 7 * 3

J
Joshua

The answer is 7 as you multiply the two numbers before adding the final number

K
Kelvin Ejumevwo Oritsedere

Division comes first before multiplication, and multiplication comes first before addition.

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