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Question 1:
(a) Describe a binary operation on a set S.
(b) Give the definition of a group.
(c) State whether the following statements are TRUE or FALSE. Justify your answer.
(i) The set of natural numbers is closed with respect to multiplication.
(ii) The set of integers is closed with respect to division.
(iii) The set of rational numbers contains the additive inverse for each of its members.
Question 2: Euclidean Algorithm
(a) Explain how the Euclidean algorithm is used to calculate the greatest common divisor of two integers a and b.
(b) Under which condition does the equation ax + by = d, where a,b,c ,a,b ≠ 0, has solution in
(c) Find x, y such that 2431x + 1324y = 11.
how do i find the are of a triangular prism if the number that i multiply is an odd number and i have to divide by 2
adding fractions
The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?
If you have a ten by ten mile square and one square of land is perserved for a cementary how many cementaries can you fit in one square. There are fourty-six cementaries.
6 is to 15 as 36 is to
Simpler method Let's begin by looking at the simpler method. This method will employ the following fact about exponential functions. If b x = b y then x
Multiply 2(b + 5) Thanks
a car wash at the local gas station costs $10.95 including tax. How many car washes can you get at the gas station and still pay less than Plan A: 3 Coupons Coupon Booklet $32.99 P
2(5+6csquared)-30divided by 3 c=2 d=4
What is the order of operations?
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