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  1. Fill in the correct word derived from the word in bold.

Like Thales, Pythagoras is rather known for 1) mathematics than for 2) philosophy. Anyone who can recall math classes will remember the first lessons of plane 3) geometry that usually start with the Pythagorean theorem about right-angled 4) triangles: a²+b²=c². In spite of its name, the Pythagorean theorem was not discovered by Pythagoras. The earliest known 5) formulation of the theorem was written down by the Indian 6) mathematician Baudhāyana in 800BC. The principle was also known to the earlier 7) Egyptian and the Babylonian master builders. However, Pythagoras may have proved the theorem and 8) popularised it in the Greek world. With it, his name and his philosophy have survived the 9) turbulences of history.

21. Match 1-8 with a-h to make sentences.

1

Maths can solve

f

a lot of problems

2

Maths developed from

e

counting, calculating, measurement.

3

Where there is no difficulty in maths there is no

d

problem

4

Algebra consists of

g

abstract models.

5

The language of maths is one and the same

throughout

b

the civilized world

6

Mathematicians deal with

h

beautiful theories

7

Prehistoric people knew how to count

c

abstract quantities.

8

Mathematics is concerned

a

signs and symbols

22. Work in small groups. Arrange the following words and phrases in the correct order to make the sentences. The first word is underlined.

  1. "Mathematics is the door and key to the sciences." Roger Bacon

  2. "Mathematics is a game played according to certain simple rules with meaningless marks on paper." David Hilbert

  3. “The different branches of Arithmetic are Ambition, Distraction, Uglification, and Derision.” Lewis Caroll

23. Learn the wording of some mathematical equations.

"Two plus x plus the square root of four plus x squared is equal to ten."

M” is equal to “R” sub one multiplied by “x” minus “P” sub one, round brackets opened, “x” minus “a” sub one, round brackets closed, minus “P” sub two, round brackets opened, “x” minus “a” sub two, round brackets closed."

24. Do the wording of the following:

  • numerals: 30 - thirty; 13 - thirteen; 2000 – twenty hundred; twenty,oh, oh; two thousand; 101,101 – one (a) hundred-one thousand,one hundred and one; 12,020,987 – twelve million, twenty thousand, nine hundred and eight-seven;

  • fractions: 2.5 – two and a half; two point five; 3 - three and a half; three and a second; 10.4 – ten point four; 0.7 – oh (naught) (zero) point seven; point seven; 2 - two and two thirds;

  • mathematical expressions: - three cubed; - ten to the tenth power; - ten cubed; - seven to the fifth power ;

  • dates: Dec 5 – December (the) fifth; the fifth of December; Jan 1 – January (the) first; the first of January; 2012 – twenty hundred (and) twelve; twenty,twelve; two thousand and twelve; 1990 – nin(e)teen, ninty; 1905 – nineteen, oh, five; Sept. 3, 2000 – September (the) third, twenty hundred.

25. Form the ordinal numerals from the cardinal ones: 22; 203; 44; 100; 1000; 100000.