Question

Evaluate each expression.

$18÷9+2\cdot 6$

Short answer

The value of the expression $\mathbf{18}\mathbf{÷}\mathbf{9}\mathbf{+}\mathbf{2}\mathbf{\cdot }\mathbf{6}$is 14.

Step-by-step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Divide 18 by 9.

As per the order of operations, first, divide 18 by 9.

$18÷9+2\cdot 6=2+2\cdot 6$

Step 3. Multiply from left to right.

To further evaluate multiply 2 by 6.

$\begin{array}{l}18÷9+2\cdot 6=2+2\cdot 6\\ =2+12\end{array}$

Step 4. Apply addition operation.

Add 2 and 12.

$\begin{array}{l}18÷9+2\cdot 6=2+2\cdot 6\\ =2+12\\ =14\end{array}$

Therefore, the expression is equal to 14.