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Are there any rules against multiplying or adding first when using modulo #?

The reason I ask is because I'm doing the dot product for two vectors:

[10, 9, 8, 7, 6, 5, 4, 3, 2, 1].[8, 0 ,3 ,7, 0, 9, 9, 0, 2, 6]

By doing this, I get:

80 + 0 + 24 + 49 + 0 + 45 + 36+ 0 + 4 + 6 = 0 (mod11) - it equals 244

Now, if I simplify first before adding:

3 + 0 + 2+ 5+ 0 + 1 + 3+ 4 + 6 = 2 (mod11)

I'm not exactly sure if my arithmetic is poor and I am completely missing a simple error, or if I am dismissing a fundamental concept, but I can't seem to find my problem. Is there any reason why I get 0 as one answer, and 2 as the other (in mod11)?

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# Using modulo 11

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