9 - 3 ÷ (1/3) + 1 = ?
Understand the Problem
The question is asking for the solution to the mathematical expression involving subtraction, division, and addition. It requires following the order of operations to arrive at the final answer.
Answer
The answer is $1$.
Answer for screen readers
The final answer is $1$.
Steps to Solve
- Identify the Order of Operations
We follow the order of operations (often remembered by PEMDAS/BODMAS) which states that we perform calculations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
- Calculate the Division First
The division in the expression is $3 ÷ \frac{1}{3}$.
This can be rewritten as: $$ 3 \times 3 = 9 $$
- Substitute the Result Back into the Expression
Now, we substitute the division result back into the original expression: $$ 9 - 9 + 1 $$
- Perform the Subtraction and Addition
Next, we solve the expression from left to right: $$ 9 - 9 = 0 $$ Then, add 1: $$ 0 + 1 = 1 $$
The final answer is $1$.
More Information
This problem involves basic arithmetic operations and illustrates the importance of applying the correct order of operations. The result may seem simple, but it serves as a good reminder about careful computation.
Tips
- Ignoring the Order of Operations: Failing to perform division before subtraction can lead to an incorrect answer.
- Mismanaging Negative Results: Sometimes, subtraction can lead to negative numbers, so careful tracking of positive and negative values is essential.
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