Calculate the value of \[36/2 \times 6\]
A. 118
B. 198
C. 138
D. 108
Answer
620.4k+ views
Hint: We use simple BODMAS rule i.e. we solve any equation in stepwise manner of bracket, order, Division, multiplication, addition and then subtraction. Here we have an equation where \[/\] is a sign of division. We first apply the division process and obtain the value, using that value we apply the multiplication process to calculate the final value.
Complete step-by-step solution:
We have to find the value of \[36/2 \times 6\]
Since we know \[/\] is a sign of division and \[ \times \] is a sign of multiplication, and this equation is not clearly separating what process should be done first. We apply the BODMAS rule where we proceed in solving an equation in a manner where we solve the division part first and then the multiplication part.
So, we will divide 36 by 2 first and then from the value obtained we will multiply the value 6
\[ \Rightarrow 36/2 \times 6 = \left( {36 \div 2} \right) \times 6\]
Since we know \[\left( {36 \div 2} \right) = 18\], substitute this value in RHS of the equation
\[ \Rightarrow 36/2 \times 6 = 18 \times 6\]
Calculate the product of numbers in RHS of the equation
\[ \Rightarrow 36/2 \times 6 = 108\]
\[\therefore \]The value of \[36/2 \times 6\] is 108
\[\therefore \]Option D is correct.
Note: Many students make mistake of solving the equation in wrong manner as they don’t apply BODMAS rule and end up with wrong answer, keep in mind we always work according to BODMAS rule i.e. we solve any equation in stepwise manner of bracket, order, Division, multiplication, addition and then subtraction. Students make the mistake of solving the value of \[36/2 \times 6\] as they multiply the numbers 2 and 6 giving the value 12. On dividing the number 36 by 12 they obtain the answer 3 which is completely wrong and it is not in any of the options as well.
Complete step-by-step solution:
We have to find the value of \[36/2 \times 6\]
Since we know \[/\] is a sign of division and \[ \times \] is a sign of multiplication, and this equation is not clearly separating what process should be done first. We apply the BODMAS rule where we proceed in solving an equation in a manner where we solve the division part first and then the multiplication part.
So, we will divide 36 by 2 first and then from the value obtained we will multiply the value 6
\[ \Rightarrow 36/2 \times 6 = \left( {36 \div 2} \right) \times 6\]
Since we know \[\left( {36 \div 2} \right) = 18\], substitute this value in RHS of the equation
\[ \Rightarrow 36/2 \times 6 = 18 \times 6\]
Calculate the product of numbers in RHS of the equation
\[ \Rightarrow 36/2 \times 6 = 108\]
\[\therefore \]The value of \[36/2 \times 6\] is 108
\[\therefore \]Option D is correct.
Note: Many students make mistake of solving the equation in wrong manner as they don’t apply BODMAS rule and end up with wrong answer, keep in mind we always work according to BODMAS rule i.e. we solve any equation in stepwise manner of bracket, order, Division, multiplication, addition and then subtraction. Students make the mistake of solving the value of \[36/2 \times 6\] as they multiply the numbers 2 and 6 giving the value 12. On dividing the number 36 by 12 they obtain the answer 3 which is completely wrong and it is not in any of the options as well.
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