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Math 1003 Assignment 12
Congruence and divisibility
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1. Find at least one a: which satises each equation. FWKOK CLUQX»
(a) a? E 33 (mod 126)
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Math 1003 Assignment 7
GOD, Euclidean algorithm; Numbers in different bases
1. Prove the following properties. Assume that all numbers involved are integers, unless
stated otherwise.
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Math 1C3
Quiz 5
You are allowed to consult books, internet, other sources, and to discuss this
assignment with your classmates, BUT the solutions you are submitting must
be written by
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Math 1003 Assignment 11
Congruence and divisibility
1. Assume that a, b and m are integers and m 2 2.
(a) Apply the Division algorithm to divide a by m. Apply the Division algorithm to div
Covalent bonding in ions
Ions can have the atoms within them bonded covalently and yet have an overall charge.
If there is a positive charge and electron has been lost, whilst a negative charge indica