Chapter 1.2, Problem 3STP

Solve each exercise and enter your answer on the grid provided. Round your answers to the nearest hundredth if necessary.

What is the simplified form of $4\times 6^2÷3+7?$

To determine

To write: $4\times 6^2÷3+7$ in the simplified form.

Answer to Problem 3STP

  $55$

Explanation of Solution

Given:

The expression $4\times 6^2÷3+7$

To simplify the expression $4\times 6^2÷3+7$ , rules of order of operations are to be followed.

According to it, first parenthesis is solve, then exponent, then division, then multiplication, then addition and lastly subtraction.

So, here first exponent is solved.

  $4\times 6^2÷3+7=4\times 36÷3+7$

Now, perform the division,

  $\begin{array}{c}4\times 6^2÷3+7=4\times 36÷3+7\\ =4\times 12+7\end{array}$

Now, perform the multiplication,

  $\begin{array}{c}4\times 6^2÷3+7=4\times 12+7\\ =48+7\end{array}$

Lastly perform addition,

  $\begin{array}{c}4\times 6^2÷3+7=48+7\\ =55\end{array}$