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course mth 151
8/4 11
Question: `q5.4.12 What is [ (10+7) * (5+3) ] mod 10 and how did you get your result?
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Your solution:
[ (10+7) * (5 + 3) ] mod 10 = ( 17 * 8) mod 10 = 136 mod 10 = 6, since 136 / 10 leaves remainder 6
3
Ok
uestion: `qquery 5.4.20 2 / 3 on 5-hour clock
What is 2 divided by 3 on a 5-hour clock, and how did you obtain this result?
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Your solution:
It turns out that 3 * 4 = 2, 2 / 3 = 4
3
Ok
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Question: `qquery 4.4.42 (3 - 27) mod 5
What is (3 - 27) mod 5, and how did you reason out your result?
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Your solution:
(3-27) mod 5 = -24 mod 5
Go around to five times backwards which gives us -25 then move up one give you -24 so that would put one on the clock
3
Ok
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Question: `qquery 5.4.20 Pos Integer solns (5x-3) = 7 (mod 4)
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Your solution:
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Question: `qquery 5.4.30 table for addition mod 7 and properties of operation
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Your solution:
0 1 2 3 4 5 6
0 0 1 2 3 4 5 6
1 1 2 3 4 5 6 0
2 2 3 4 5 6 0 1
3 3 4 5 6 0 1 2
4 4 5 6 0 1 2 3
5 5 6 0 1 2 3 4
6 6 0 1 2 3 4 5
It is closed with inverse
3
Ok
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Question: `q5.4.33 table for mult mod 4 and properties of operation
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Your solution:
0 1 2 3
0 0 0 0 0
1 0 1 2 3
2 0 2 0 2
3 0 3 2 1
3
Ok
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Question: `qquery 5.4.70 y + [[ (y-1)/4 ]] - [[ (y-1) / 100 ]] + [[ (y-1) / 400 ]]; day of jan 1, 2002; smallest b with a = b (mod 7); b=0 Sunday etc.
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Your solution:
Now 2487 mod 7 is 2.
Sunday is 0, Monday is 1 so Tuesday is 2
3
Ok
"
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