Simplify: 17 – 6 × 10 ÷ 2 + 12.

Let us simplify the given arithmetic expression.

Answer: The solution of 17 – 6 × 10 ÷ 2 + 12 is -1.

Let us use the concepts of PEMDAS or BODMAS.

Explanation:

We follow a particular order when simplifying an arithmetic expression.

The order of operations employed throughout arithmetic is expressed here:

1. Exponentiation and Root Extraction  
2. Multiplication and Division  
3. Addition and Subtraction    

It means that, if while solving a mathematical expression, a subexpression comes between 2 arithmetic operators, the operator that is higher in level, as per the order given above, needs to be applied first.  

The given expression can be written as 17 - (6 × 10) ÷ 2 + 12

= 17 - 60 ÷ 2 + 12 

= 17 - 30 + 12

= 29 - 30

= -1

Thus, 17 – 6 × 10 ÷ 2 + 12 = -1.