Question

Find the value of$1+3\left(5-17\right)÷2\times 6$

$\begin{array}{cc}\left(A\right)-4& \left(B\right)109\\ \left(C\right)-107& \left(D\right)-144\end{array}$

Short answer

Value of$1+3\left(5-17\right)÷2\times 6$ is$\left(C\right)-107$

Step-by-step solution

- Order for simplification 

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.

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then follow order of simplification as shown below

$\begin{array}{c}1+3\left(5-17\right)÷2\times 6=1+3\left(-12\right)÷2\times 6\\ =1+\left(-36\right)÷2\times 6\\ =1+\left(-18\right)\times 6\\ =1+\left(-108\right)\end{array}$

- Add with 1

Now, to simplify further add the numbers to get

$1+\left(-108\right)=-107$

Since, given expression results into $-107$

Thus, option (C) is correct