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2.4 Complete the sentences.

1 The word mathematics is usually shortened to …

2 Mathematics tried to explain …

3 Numbers became more and more important for …

4 Science is the search for …

5 Mathematics is applied to …

6 It is impossible to separate mathematics from …

7 There are divisions of study in many places of learning, often called …

Vocabulary development

2.5 Match these words with their definitions.

1. division

a. a system of figures or symbols, representing numbers

2. knot

b. a written sign in maths or music, for example, which represents an operation, an element, relation, etc.

3. to set up

c. a record of money spent or received

4. numeral

d. a separation

5. symbol

e. to make ready for operation

6. tally

f. a symbol representing a number

7. notation

g. tie, bond

2.6 Fill in the gaps with the words from the box.

division knots set up numerals symbols notation tally

1. If you keep a _______, you have a system to note how much has been spent.

2. The Roman _______ are still used as numbers nowadays.

3. There is a _______ between science and art subjects.

4. In maths we use _______ to show what kind of problem we are solving.

5. _______ in maths are things like numerals.

6. Some people tie _______ to remember something.

7. She _______ an experiment.

Grammar revision

2.7 Put the verb in brackets into the correct form of the Participle.

1 Numeral is a system of figures or symbols (to represent) numbers.

2 (to calculate) the distance, he solved the task.

3 There are various ways of recording numbers (to develop) in different countries.

4 You can do some arithmetic sums (to use) computer.

5 (to measure) the angles of triangle, he showed results to the engineer.

6 The results (to receive) were of great importance.

7 He thought about the problem (to discuss) at the conference.

2.8 Translate the sentences using Complex Object or Complex Subject.

1. Я знаю, что факультет прикладной математики является одним из самых престижных.

2. Считается, что арабские цифры используются по всему миру.

3. Кажется, математика была его любимым предметом в школе.

4. Я слышал, что она проводила эксперимент два года назад.

5. Оказалось, что они использовали новые методы в работе.

6. Так случилось, что эти ученые работают над одной проблемой.

7. Сообщили, что все вычисления являются неверными.

Speaking

2.9 What other interesting facts from the history of the maths do you know?

Prepare a short report about at least one and deliver it to your classmates.

Unit 3

Before you read

3.1 Match these words with their definitions.

1. to arise

a. to make better

2. to refine

b. to allow

3.to exclude

c. to occur

4. to simplify

d. to leave out

5. adjustments

e. understandable

6. comprehensible

f. small changes

7.to enable

g. to make something easier to do or understand

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