Understanding the Calculation 10-10×10+10=100.
The calculation 10-10×10+10=100 might seem confusing at first glance, but let’s break it down step by step to understand how it results in 100. Here’s a clear explanation:
- The order of operations in mathematics is crucial when solving expressions. It follows the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
- In the given expression, we don’t have any parentheses or exponents, so we move to the multiplication and division step.
- When we encounter multiplication or division, we perform the operations from left to right. In this case, we have 10 multiplied by 10, which equals 100.
- Now, let’s substitute the multiplication with its result: 10-100+10=100.
- Moving on to the addition and subtraction step, we again perform the operations from left to right. We start with subtraction: 10-100=-90.
- Finally, we add 10 to -90: -90+10=-80.
So, the correct result of the expression 10-10×10+10 is -80, not 100.
The misconception that the answer is 100 often arises from the incorrect application of the order of operations. It’s crucial to follow the proper sequence to obtain the accurate result.
I hope this explanation clarifies the confusion and helps you understand the calculation better. If you have any further questions, feel free to ask!