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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)
:ilei xEo 2) >4 :0 i ~34 a: £16455?) : 15%)
gr pass/isz me x 21.26% '53-:
'f a
0M QDhJ'kmS
(b) 51
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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.
(a) Prove that gcd(am, on) = |al - gcd(m,n), Lek DQQR h
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ID number:
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 youdo not copy solutions form someone else. Staple you
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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 divide
bbym.
a=wxcb+n ogqmw dim Cute
Oétlwx
\Dzvqudrf;
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 indicates and
electron has been added.
Complete dot and cross