+ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55.
Problem: Find the sum of the first 10 whole numbers.
Key Concept: Whole numbers are non-negative integers (0, 1, 2, 3, ...).
Solution:
The first 10 whole numbers are:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
To find their sum, we add them together:
Sum = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
We can use the formula for the sum of an arithmetic series, or simply pair numbers:
(0 + 9) + (1 + 8) + (2 + 7) + (3 + 6) + (4 + 5)
= 9 + 9 + 9 + 9 + 9
= 5 * 9
= 45
Alternatively, using the formula for the sum of the first 'n' non-negative integers (starting from 0):
Sum = n * (n - 1) / 2
Here, we want the first 10 whole numbers, which means n = 10 (from 0 to 9).
Sum = 10 * (10 - 1) / 2
Sum = 10 * 9 / 2
Sum = 90 / 2
Sum = 45
The sum of the first 10 whole numbers is 45.
Final Answer: The final answer is $45}$.
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Unica Хамелеон |
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