9 - 3 ÷ 1/3 + 1 = ?
Understand the Problem
The question is asking to solve a mathematical expression that involves subtraction, division, and addition. It requires following the correct order of operations (PEMDAS/BODMAS) to arrive at the answer.
Answer
The result is \( 1 \).
Answer for screen readers
The final answer is ( 1 ).
Steps to Solve
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Identify the operations and their order Calculate the expression following the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
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Perform the division First, divide ( 3 ) by ( \frac{1}{3} ). Since dividing by a fraction is the same as multiplying by its reciprocal, we compute: [ 3 \div \frac{1}{3} = 3 \times 3 = 9 ]
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Rewrite the expression Substituting the result from the previous step, the expression now looks like: [ 9 - 9 + 1 ]
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Perform the subtraction Next, subtract: [ 9 - 9 = 0 ]
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Perform the addition Finally, add ( 1 ): [ 0 + 1 = 1 ]
The final answer is ( 1 ).
More Information
This expression illustrates the importance of following the correct order of operations. The division step significantly changed the outcome of the calculation.
Tips
- Confusing subtraction and addition order: Always perform division and multiplication before addition and subtraction.
- Forgetting to multiply by the reciprocal when dividing by a fraction.
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