To unlock the secret of the easy calculation 13/2 ÷ 8, we first need to understand the order of operations. The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Breaking Down the Calculation
We start with the expression 13⁄2 ÷ 8. According to PEMDAS, we should first perform the division inside the expression, which is 13 divided by 2, and then divide the result by 8.
Step 1: Division Inside the Expression
The first step is to divide 13 by 2. This operation results in 6.5. So, our expression now looks like 6.5 ÷ 8.
| Operation | Result |
|---|---|
| 13/2 | 6.5 |
Final Calculation
Now, we divide 6.5 by 8. This operation gives us 0.8125. Therefore, the result of the expression 13⁄2 ÷ 8 is 0.8125.
Calculation Summary
In summary, to calculate 13⁄2 ÷ 8, we follow the order of operations: first, divide 13 by 2 to get 6.5, and then divide 6.5 by 8 to get the final result of 0.8125.
| Operation | Result |
|---|---|
| 6.5 ÷ 8 | 0.8125 |
Key Points
- The order of operations (PEMDAS) is crucial for accurate calculations.
- First, divide 13 by 2 to get 6.5.
- Then, divide 6.5 by 8 to get the final result.
- The final result of the expression 13/2 ÷ 8 is 0.8125.
- Understanding and applying PEMDAS ensures that mathematical expressions are evaluated correctly.
The calculation 13/2 ÷ 8, when performed correctly using the order of operations, yields a result of 0.8125. This demonstrates the importance of following a structured approach to mathematical problems to ensure accuracy and clarity in our calculations.
What is the first step in calculating 13⁄2 ÷ 8?
+The first step is to divide 13 by 2, which results in 6.5.
Why is it important to follow the order of operations?
+Following the order of operations ensures that mathematical expressions are evaluated consistently and accurately, preventing confusion and errors.
What is the final result of the expression 13⁄2 ÷ 8?
+The final result of the expression 13⁄2 ÷ 8 is 0.8125.