Question

Evaluate the expression.

$9\cdot 6+27÷3$

Short answer

The value of the expression is63.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Multiply and divide from left to right

In the given expression, there is no grouping symbols and exponents in it. So, to evaluate the expression first multiply and divide from left to right as shown below

$\begin{array}{l}9\cdot 6+27÷3\\ =54+27÷3\\ =54+9\end{array}$

Step-3 – Add and subtract from left to right

Now to simplify further, add the numbers to get

$\begin{array}{l}54+9\\ =63\end{array}$

Thus, the value of the expression is 63.