Question - Solving Mathematical Expression using PEMDAS
Solution:
To solve the expression $$6 \div 2(1 + 2)$$, follow the order of operations, which is commonly known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).Let's solve it step by step:1. **Parentheses**: First calculate the expression inside the parentheses.$$1 + 2 = 3$$2. **Multiplication/Division**: Since there is a division and multiplication by 2, and no explicit operation between the 2 and the parentheses, we treat them as a multiplication. In many interpretations according to standard mathematical conventions, the expression next to the parentheses indicates multiplication, particularly when there is an implied multiplication as in this case.So, we rewrite the expression as:$$6 \div 2 \times 3$$Since multiplication and division are of the same precedence, we work from left to right.First, divide 6 by 2:$$6 \div 2 = 3$$Then multiply the result by 3:$$3 \times 3 = 9$$Therefore, the final answer to the expression is $$9$$.
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