How to Solve Mathematical Expressions Using PEMDAS/BODMAS
To solve the given mathematical expression, you should follow the order of operations, often remembered by the acronym PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Here's how you solve the expression step by step:
1. Calculate the expression inside the parentheses first.
\[ 1 + 2 = 3 \]
2. Multiply or divide from left to right. Since there is no multiplication or exponentiation to perform first, we move to division, which must account for the entire term \( 2(1+2) \), as it is common in mathematics to consider the multiplication part of the term "glued" to its next element, meaning it has to be taken as a whole.
\[ 6 ÷ 2(3) = 6 ÷ 6 \]
3. Finally, divide 6 by 6.
\[ 6 ÷ 6 = 1 \]
The answer to the expression is 1.