Solve the expression: \[10+20\times \dfrac{3}{6}\].

Hint: In this problem, we have to solve the given expression. We can see that the given expression has several operations to be solved. Here we have to solve these types of problems using the method BODMAS, which means Brackets of Division Multiplication Addition and Subtraction. We should first divide the given fraction, then we can multiply the terms and then we can add to get the simplified form of the given expression.

Complete step by step solution:
Here we have to solve the given expression.
We know that the expression given to be solved is,
\[10+20\times \dfrac{3}{6}\]
We can see that the given expression has several operations to be solved. Here we have to solve these types of problems using the method BODMAS, which means Brackets of Division Multiplication Addition and Subtraction.
We can first divide the given fraction, we get
\[\Rightarrow 10+20\times 0.5\]
We can now multiply the above step, we get
\[\Rightarrow 10+10.0=10+10=20\]
Therefore, the answer of the given expression \[10+20\times \dfrac{3}{6}\] is 20.

Note: We should always remember that if we are given several operations in one expression, which should be solved, then we can solve these types of problems using the method BODMAS, which means Brackets of Division Multiplication Addition and Subtraction. We should first perform the division operation, then we have to perform the multiplication operation, then addition and then subtraction. We should follow this order to solve these types of problems.