Learning English

Task 1 - Essay: Write an essay of 220 - 250 words. Include your arguments for or against the given option. Use of a dictionary  is allowed. You are participating in an essay writing competition. Your task is to give your opinion on the following topic: "The keeping of wild animals in zoos should be banned" In your essay write about: Your opinion in general about this view Your personal experience  (e.g. in zoos you have been to) in this respect The possible positive and negative effects of zoos on wild animals My essay: https://1drv.ms/u/s!AgGDb8F-_bVzwXfrw4hjqErMOFoh?e=f0LV8L Task 2 - Reader commentary: Write a reader commentary of 170 - 190 words. Include each of the three points given. Do NOT use your own name in your writing. Use of a dictionary is allowed. You have read the following in the local newspaper: Schools across Belfast are tackling the important topic of food waste with an exciting programme run by Keep Nothern Ireland Beautiful Eco-Schools. With alarming fig

Assumption / Hypothesis: √2 ∈   Q (Rational numbers) Thus  √2   can be expressed as a ratio of two integers / whole numbers. Proof: Hippasus  labell ed the numerator “p” and the denominator “q” of his reduced fraction separated with a fraction line. These numbers cannot have any common factor because they are relatively prime numbers. Hence their highest common factor is 1. p Î Z q Î Z \ {0}                 √2 = p / q     / x 2                   2 =  q 2  /  p 2   / *q 2 2q 2 = p 2       2q 2 → Multiplying any number by an even number results in an even number as well. The product of the multiplier and the multiplicand is always even. Examples: 2 * 4 = 8 2 * 5 = 10     etc…..    p 2 → Thus, “p” has to be even, too. Taking the square of any number that results in an even number has to even, as well. Examples: 2 2 = 4 4 2 = 16 6 2 = 36  etc….. Since p 2 is even, it can be expressed as (2a) 2 where “a” is an integer      → a  ∈  Z