Question - Mathematical Calculation
Solution:
1. Simplify inside the parentheses: $$ 1 + 2 = 3 $$2. Multiply by 2: $$ 2 \times 3 = 6 $$3. Divide 6 by the result: $$ 6 \div 6 = 1 $$The result is 1.
Tutor Solution:
This math problem involves the order of operations, which in mathematics is summarized by the acronym PEMDAS:- Parentheses- Exponents- Multiplication and Division (left to right)- Addition and Subtraction (left to right)Let's follow these steps to solve the given problem:1. Begin with any calculations inside the parentheses: $$1 + 2 = 3$$2. The original expression now reads: $$6 ÷ 2(3)$$3. Next, according to order of operations, we handle the multiplication and division from left to right. This part can be confusing because the multiplication is implied in $$2(3)$$, but we also have a division right before it. Here's an important note: because the $$2$$ is directly next to a parenthesis, it means $$2$$ should be multiplied by the contents of the parentheses, which we've already determined to be $$3$$.4. Proceed with the division first (since it comes before the implied multiplication from left to right in this expression): $$6 ÷ 2 = 3$$5. Now multiply the result by the content of the parentheses: $$3 × 3 = 9$$So, the final answer to the expression $$6 ÷ 2(1 + 2)$$ is $$9$$.
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