9 - 3 ÷ (1/3) + 1 = ?
Understand the Problem
The question asks to solve a mathematical expression involving subtraction, division, and addition. We need to follow the order of operations (PEMDAS/BODMAS) to find the correct answer.
Answer
$1$
Answer for screen readers
The final answer is $1$.
Steps to Solve
-
Identify the order of operations According to the order of operations (PEMDAS/BODMAS), we first perform divisions and multiplications from left to right, then additions and subtractions.
-
Perform the division Start with the division in the expression. The expression is: $$ 9 - 3 \div \frac{1}{3} + 1 $$ Calculating (3 \div \frac{1}{3}) is equivalent to multiplying by the reciprocal: $$ 3 \div \frac{1}{3} = 3 \times 3 = 9 $$
-
Substitute back into the expression Now substitute (3 \div \frac{1}{3}) with 9 in the original expression: $$ 9 - 9 + 1 $$
-
Perform the subtraction Now perform the subtraction: $$ 9 - 9 = 0 $$
-
Perform the addition Finally, add 1: $$ 0 + 1 = 1 $$
The final answer is $1$.
More Information
This problem demonstrates the importance of following the order of operations in arithmetic calculations. By performing the division first and substituting back, we avoid common mistakes that can lead to incorrect answers.
Tips
- Ignoring the order of operations, such as performing addition before division, which can lead to incorrect results.
- Misunderstanding the division by a fraction, which can sometimes confuse students.
AI-generated content may contain errors. Please verify critical information
