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# Simplify: $18-6\div 2\times 3$

Last updated date: 14th Sep 2024
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Hint: This question belongs to the topic of algebra. We will use the BODMAS rule here. The full form of BODMAS is bracket, orders or powers, division, multiplication, addition, and subtraction. Whenever we have to solve this type of question, we use the same arrangement and solve the equation. After the use of this rule, we will get our answer.

Let us solve this question.
The question is asking us to simplify the term $18-6\div 2\times 3$. Or, we can say that we have to make the term $18-6\div 2\times 3$ simple.
As we know that the term $\div$ means the division, $\times$ means multiplication, and $-$ means subtraction.
We will use the BODMAS rule here.
The BODMAS rule says that whenever we have to solve mathematical problems, we use this rule. For solving the problem, first we will solve the brackets, after that we will solve the orders or power, after that we will use the term division and divide wherever we have to divide. After that it comes to multiplication, after that addition and after that it comes to subtraction.
So, the mathematical expression we have to solve is $18-6\div 2\times 3$
We can see on this expression that there will be only three operations as there is only division, multiplication, and subtraction.
In these three operations, according to BODMAS rule, the division comes first, after that multiplication comes and after that subtraction comes.
As we know that 6 divided by 2 will be 3.
So, doing the division operation first, we get
$\Rightarrow 18-6\div 2\times 3=18-3\times 3$
Now, we will do the multiplication.
As we know that 3 multiplied by 3, we get 9. So, the above equation can also be written as
$\Rightarrow 18-6\div 2\times 3=18-9$
Now, doing the subtraction, we can write the above equation as
$\Rightarrow 18-6\div 2\times 3=9$

So, we have simplified the term $18-6\div 2\times 3$ and get the value as 9.

Note: As this question is from the topic of algebra. So, we should have a better knowledge in that topic. We should know about the BODMAS rule to solve this type of question easily. The full form of BODMAS is bracket, orders or powers, division, multiplication, addition and subtraction. We will use this order from bracket to subtraction to solve this type of mathematical expression. Remember that $x\div y$ can also be written as $x\times \dfrac{1}{y}$ or $\dfrac{x}{y}$. We can use this method also to solve this type of question.