To calculate the sum of the given numbers:

Numbers:

72.25 + 132.25 + 6.25 + 2.25 + 42.25 + 12.25 + 132.25 + 42.25 + 0.25 + 56.25 + 132.25 + 20.25 + 42.25 + 42.25 + 72.25 + 2.25 + 0.25 + 2.25 + 30.25 + 12.25

Step-by-step Summation:

1. Grouping terms to simplify: $(72.25 + 132.25 + 6.25 + 2.25 + 42.25 + 12.25) + (132.25 + 42.25 + 0.25 + 56.25 + 132.25) + (20.25 + 42.25 + 42.25 + 72.25 + 2.25 + 0.25 + 2.25 + 30.25 + 12.25)$

2. Summing each group:

   • First group: $72.25 + 132.25 + 6.25 + 2.25 + 42.25 + 12.25 = 267.5$
   • Second group: $132.25 + 42.25 + 0.25 + 56.25 + 132.25 = 363.25$
   • Third group: $20.25 + 42.25 + 42.25 + 72.25 + 2.25 + 0.25 + 2.25 + 30.25 + 12.25 = 224.25$

3. Adding the results: $267.5 + 363.25 + 224.25 = 855$

Final Answer:

$\boxed{855}$

Would you like a detailed breakdown of any step or further explanations? 😊

---

Related Questions:

1. How can you simplify large sums using grouping?
2. What are the benefits of arranging numbers before summing?
3. How to identify patterns in a sequence of numbers for faster calculations?
4. What are the properties of addition that help in mental math?
5. Can we use rounding or estimation for approximate sums?

Tip:

When adding many numbers, group them into sets that are easy to calculate, such as those forming round numbers (e.g., summing numbers that total 100).