Q57. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

Step 1 - 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.

Step 2 - 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

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

Step 3 - 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