Question

If m = 2, then find the value of \[\dfrac{5m}{2}+4\]

Answer 1

Hint: We have to solve the given expression which is in terms of m and we have the value of m. Just put the value of m in the expression \[\dfrac{5m}{2}+4\] and then solve it further.

Complete step-by-step answer:
According to the question, it is given that the value m is equal to 2 and we have to find the value of the expression \[\dfrac{5m}{2}+4\] .
We can see that the expression is in terms of m and we also have the value of m.
m = 2 …………………..(1)
\[\dfrac{5m}{2}+4\] ……………………….(2)
To get the value of the given expression we have to put the value of m in equation (2).
Now, putting the value of m in equation (2), we get,
\[\begin{align}
  & \dfrac{5m}{2}+4 \\
 & =\dfrac{5\times 2}{2}+4 \\
\end{align}\]
On solving further, we get
\[\begin{align}
  & =\dfrac{10}{2}+4 \\
 & =5+4 \\
 & =9 \\
\end{align}\]
Hence, the value of the expression given in the question \[\dfrac{5m}{2}+4\] is obtained as 9.

Note:In this question, one might forget to add 4 after putting the value of m in \[\dfrac{5m}{2}\] . If we do so, then our answer is wrong because our expression is \[\dfrac{5m}{2}+4\] . So, we have to add 4 after putting the value of m in \[\dfrac{5m}{2}\] . After substituting m = 2, one can also cancel 2 as it is common in the numerator and denominator. Then, we will have 5 + 4 which will directly result in 9.