In this post I will teach you how to solve any mathematical problems that involve BODMAS operation. In mathematics, BODMAS plays a big role before any question can be solved. Brainimatic Series is the platform that can guide you to measures in solving this kind of problem.
The only way you can solve mathematical problems is applying BODMAS rule before you can succeed when you're ask to evaluate or simplify problems. If you are confused when the name BODMAS is mentioned, this post will give you the genuine steps to use.
In another way as a lay man understanding.
Before we begin, what do you understand by the word BODMAS, this is a mathematical word or topic that stand for:
Which Sign Comes First?
B - bracket
O - of
D - divisions
M - multiplication
A - addition
S - subtraction
Good that's a nice definition about BODMAS, this the operation should be done based on BODMAS. So that means we should consider bracket first before of, division, multiplication, addition then subtraction as the last operatior.
Now, I will solve some examples that involves BODMAS, just pay attention and stay focus.
Examples
1. Evaluate 5 + 3 x 4
First we apply multiplication
= 5 + 3 x 4
= 5 + 12
= 17
Yes the result is 17. You can see, I multiply before the addition comes last. This means in mathematics we must multiply before addition.
2. Evaluate (12 - 4 ) ÷ 2 + 10
Now we open the bracket first according to the name.
=( 8 ÷ 2) + 10
Division comes before addition
= 4 + 10
= 14
The above steps give you the direct way o manipulating numbers with 3 different special characters.
Bracket
Division and
Addition
3. Evaluate 6 x 2³ - 16
First we perform 3 cube.
2³ = 2 x 2 x 2
= 8
Run the multiplication
= 6 x 8 - 16
= 48 - 16
Final subtraction
= 32
4. Evaluate 20 + 15 ÷ 3 - 2
First we perform division first.
= 20 + 5 - 2
Followed by addition
= 25
Then, subtraction last
= 25 - 2
= 23
5. Evaluate 4 x ( 15 - 6 )
First we clear the bracket.
= 4 x ( 15 - 6 )
= 4 x 9
= 36
If you're bad in mathematics, this should be able to make everything simple. Just matter the role and you're good to go.
6. 50 - 4 x 6 + 2
Step 1: Multiply the middle terms
Multiplication beats addition and subtraction. Compute 4 x 6
= 4 x 6
= 24
Step 2: Run remaining math left-to-right
The expression is now 50 - 24 + 2
Since subtraction and addition are equal in priority, solve them in the order they appear.
= 50 - 26
= 24
7. Evaluate [ 3 + ( 8 x 2)] x 2 - 13
First we clear the neasted bracket.
The expression becomes
= [ 3 + 16 ] x 2 - 13
Solve the square bracket
19 x 2 - 13
Multiplication
= 38 - 13
= 25
8. Evaluate 7 + ( 6 x 4) ÷ 8 - 8
First, we open the bracket
= 7 + 24 ÷ 8 - 8
Second, we divide
= 7 + 3 - 8
Third addition
= 10 - 8
The last subtraction
= 2
Now that was a good explanation on BODMAS, with Brainimatic Series guides you should be able to understand what the workings are all about
9. Evaluate 100 ÷ 10 ÷ 2 + 5 x 3
First, we divide the two division from left to right.
= 10 ÷ 2 + 5 x 3
= 5 + 5 x 3
Multiplication
= 5 + 15
Addition
= 20
10. Evaluate 18 ÷ 2 of 3 + 8
First "of" , know that this means multiplication.
= 18 ÷ 2 x 3 + 8
= 18 ÷ 6 + 8
Next is division
= 3 + 8
= 11
That is how to use the rule of BODMAS in mathematics, if you have any question but them in the comments box.
Simplify the following, use the rule of BODMAS
(a) 6(8 - (-6) 12
(b) 100 ÷ 3 × 6 ( 7 - 2 ) + 87
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