The Power of Parentheses: Simplifying the Expression 70-15x(10-5)

In mathematics, the order of operations is crucial for accurately solving expressions. One common aspect that often causes confusion is the use of parentheses. In this article, we will explore how to simplify the expression 70-15x(10-5) by applying the rules of order of operations. To begin, let's break down the expression step by step. According to the order of operations, we first need to evaluate the expression inside the parentheses. In this case, we have (10-5). By subtracting 5 from 10, we get a result of 5. Next, we move on to the multiplication part of the expression. We have 15 multiplied by the result we obtained from the parentheses, which is 5. Multiplying 15 by 5 gives us 75. Finally, we perform the subtraction operation. We subtract the product we obtained, which is 75, from 70. Subtracting 75 from 70 results in -5. Therefore, the simplified expression 70-15x(10-5) equals -5. This example demonstrates the importance of following the order of operations and correctly applying the rules of parentheses in mathematical expressions. By understanding and mastering these concepts, students can confidently solve a wide range of mathematical problems.