9 - 3 ÷ 1/3 + 1 = ?
Understand the Problem
The question is asking to solve a mathematical expression that involves subtraction, division, and addition. We will apply the order of operations (PEMDAS/BODMAS) to find the answer.
Answer
The answer is $1$.
Answer for screen readers
The final answer is $1$.
Steps to Solve
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Identify the order of operations We will follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
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Perform the division Start with the division in the expression: $$ 3 \div \frac{1}{3} $$ Dividing by a fraction is the same as multiplying by its reciprocal, so: $$ 3 \div \frac{1}{3} = 3 \times 3 = 9 $$
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Substitute and simplify Now substitute the result back into the expression: $$ 9 - 9 + 1 $$
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Perform subtraction and addition Now move from left to right: $$ 9 - 9 = 0 $$ Then, add 1: $$ 0 + 1 = 1 $$
The final answer is $1$.
More Information
This problem demonstrates the importance of following the order of operations to ensure that calculations are performed correctly. It is also an example of how division by a fraction can lead to an unexpected result.
Tips
- Not recognizing that dividing by a fraction involves multiplying by its reciprocal.
- Ignoring the order of operations, leading to incorrect simplifications.
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