$\begin{array}{c}10+20-5=25 \\ (10 \times 10) \\ 5+10 \times 2-10\end{array}$
Answer (2)
Calculate the first expression: 10 + 20 − 5 = 25 .
Calculate the second expression: ( 10 × 10 ) = 100 .
Calculate the third expression: 5 + 10 × 2 − 10 = 15 .
The results are 25 , 100 , 15 .
Explanation
Understanding the Problem We are given three separate calculations and asked to evaluate each of them. Let's break them down step by step.
Evaluating the First Expression The first calculation is: 10 + 20 − 5 We first add 10 and 20, which gives us 30. Then we subtract 5 from 30, which gives us 25. 10 + 20 − 5 = 30 − 5 = 25 So, the result of the first calculation is 25.
Evaluating the Second Expression The second calculation is: ( 10 × 10 ) We multiply 10 by 10, which gives us 100. 10 × 10 = 100 So, the result of the second calculation is 100.
Evaluating the Third Expression The third calculation is: 5 + 10 × 2 − 10 Following the order of operations (PEMDAS/BODMAS), we first perform the multiplication. 10 multiplied by 2 is 20. So the expression becomes: 5 + 20 − 10 Next, we add 5 and 20, which gives us 25. Then we subtract 10 from 25, which gives us 15. 5 + 20 − 10 = 25 − 10 = 15 So, the result of the third calculation is 15.
Final Answer Therefore, the results of the three calculations are 25, 100, and 15, respectively.
Examples
Understanding order of operations is crucial in many real-life scenarios, such as calculating expenses, managing budgets, or even in cooking where the order in which you add ingredients can affect the final dish. For instance, if you are calculating the total cost of items with discounts and taxes, you need to apply the discount before adding the tax to get the correct final amount. Similarly, in programming, the order in which operations are performed can significantly impact the outcome of a calculation or algorithm.
The calculations resulted in 25 for the first expression, 100 for the second expression, and 15 for the third expression. By following the order of operations carefully, we obtained accurate results. This shows the importance of the correct sequence in mathematical calculations.
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