7 Divided by 8 Times 100: Understanding the Order of Operations
Have you ever come across a mathematical expression that looks like this: 7 divided by 8 times 100? If so, you may have wondered how to evaluate it correctly. In this article, we'll take a closer look at the order of operations and how to solve this expression step by step.
The Order of Operations
When evaluating mathematical expressions, it's essential to follow the order of operations. This rule dictates the order in which we perform mathematical operations when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate any expressions inside parentheses first.
- Exponents: Evaluate any exponents (such as squaring or cubing) next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Evaluating the Expression
Now, let's apply the order of operations to our expression: 7 divided by 8 times 100.
Step 1: Division
First, we need to perform the division operation. Divide 7 by 8:
7 ÷ 8 = 0.875
Step 2: Multiplication
Next, we need to multiply the result by 100:
0.875 × 100 = 87.5
Final Answer
Therefore, the final answer is:
7 divided by 8 times 100 = 87.5
Conclusion
In conclusion, evaluating mathematical expressions requires attention to the order of operations. By following the PEMDAS rule, we can ensure that we perform operations in the correct order and arrive at the correct answer. In this case, we found that 7 divided by 8 times 100 equals 87.5.
