0.008 + 0.02 + 0.0087 + 0.39 + 0.3661 0.0053 + 0.71 + 0.09 + 0.015 + 0.173 0.007 + 0.3531 - 0.126 + 0.15 - 0.08 0.0785 + 0.0662
The Correct Answer and Explanation is:
Let’s solve the given problem step by step. The expressions provided involve addition and subtraction of decimal numbers:
- 0.008 + 0.02 + 0.0087 + 0.39 + 0.3661 = 0.028 + 0.0087 + 0.39 + 0.3661 = 0.0367 + 0.39 + 0.3661 = 0.4267 + 0.3661 = 0.7928
- 0.0053 + 0.71 + 0.09 + 0.015 + 0.173 = 0.7153 + 0.09 + 0.015 + 0.173 = 0.8053 + 0.015 + 0.173 = 0.8203 + 0.173 = 0.9933
- 0.007 + 0.3531 – 0.126 + 0.15 – 0.08 = 0.3601 – 0.126 + 0.15 – 0.08 = 0.2341 + 0.15 – 0.08 = 0.3841 – 0.08 = 0.3041
- 0.0785 + 0.0662 = 0.1447
Explanation
In solving these expressions, precision is key. Each decimal number contributes to the final sum, meaning careful alignment is necessary to avoid calculation errors. The first two sets require only addition, which is straightforward. Summing values with different decimal places involves aligning numbers correctly before addition.
The third expression introduces subtraction, which requires close attention to decimal placement and magnitude. To handle it systematically, positive values are grouped first, followed by subtractions. The final result reflects the balance between gains and reductions.
Decimal arithmetic is particularly relevant in scientific calculations, financial transactions, and engineering applications where accuracy is essential. Errors in decimal calculations can propagate, affecting results in physics, chemistry, and data analysis.
This exercise demonstrates fundamental arithmetic principles, reinforcing the importance of structured problem-solving. Ensuring consistency in decimal handling builds strong mathematical foundations, crucial for fields that rely on precision, such as instrumentation, engineering, and computational modeling.
