Q22. - Algebra 1

Question

Evaluate each expression.

$\left(11\cdot 7\right)-9\cdot 8$

Step-by-Step Solution

Answer

The value of the expression $\left(11\cdot 7\right)\mathbf{-}\mathbf{9}\mathbf{\cdot }\mathbf{8}$ is 5.

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. Evaluate the expression inside the bracket.

$\left(11\cdot 7\right)-9\cdot 8=77-9\cdot 8$

Step 3. Multiply 9 by 8.

As per the order of operations, now multiply 9 by 8.

$\begin{array}{l}\left(11\cdot 7\right)-9\cdot 8=77-9\cdot 8\\ =77-72\end{array}$

Step 4. Apply subtraction operation.

Subtract 72 from 77.

$\begin{array}{l}\left(11\cdot 7\right)-9\cdot 8=77-9\cdot 8\\ =77-72\\ =5\end{array}$

Therefore, the expression is equal to 5.