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8. Decide whether the statements below are true or false:

1. The origins of the real number system can be traced to ancient Egyptian, Babylonian (Sumerian), and Chinese roots.

2. The natural numbers are also called the whole numbers, or positive irrational integers.

3. The natural number n is identified with the positive fraction n/1.

4. The totality of the rational and irrational numbers puts together the real number system.

5. Number is a letter or symbol used to designate quantities.

6. Similarly, the ratio of the circumference to the radius of a circle is not a rational number.

7. The positive and negative integers and fractions, and the number 0, form the rational number system.

1

2

3

4

5

6

7

T

T

T

T

T

T

T

F

F

F

F

F

F

F

LISTENING

9. Listen and practise.

Money

£ 400 50 p € 9.40 € 47.99 ¥ 5,000 $ 100

Fractions

1/4 3/4 2/3 7/8 12 ½

Decimal and percentage

6.2 17.25 50% 75.7% 100%

Dates

1995 2020 1789 15/7/94 30/10/02

Phone numbers

01865-556890 800 451-7545 919 677-1303

10. Listen to the conversations. Write the numbers.

Conversattion 1:

“When you are going away on holiday?”

“On the ________.”

“And when do you get back?”

“On the __________ I’ll give you a ring when we get home.”

Conversation 2:

And now the business news. The unemployment rate has risen slightly this month. The national unemployment rate is now __________ and in our area, an estimated __________ people are out of work.”

Conversation 3:

“Can I pay by visa?

“Yes, that’s fine. Erm – what’s your card number, please?”

“It’s __________”

“Let me read that back. _____ … _____ … _____ … _____.”

“That’s right.”

SPEAKING

11. Work in pairs. What numbers do people usually consider lucky and unlucky and why?

12. Find out the answers to these questions and discuss them with your partner:

-Who introduced Arabic numbers to European maths?

-Who developed the idea of ‘zero’?

WRITING

13. Think of a number you like (your fortunate number), or not like (your unfortunate number). Write a short paragraph (60 - 80 words) to explain your choice. You may use the following opening phrases to express your opinion:

- I think that …

- From my point of view …

- In my opinion …

- To my mind …

- It seems to me …

GRAMMAR IN USE

These tasks can help you to practise the Future Simple Passive (See Appendix 1 p. 228 – 230) and do the following exercises.

14. Complete the sentences with the future passive form of the verbs in brackets, as in the example.

e.g. 0. This model will be produced in the new factory in Poland.

  1. German cars ….. (to sell) all over the world in future.

  2. The orders ….. (to place) by fax or online.

  3. The cars ….. (to assemble) by robots.

  4. Spare parts ….. (to buy) from your local dealer.

  5. The interiors ….. (to design) by computer.

  6. Next year tyres ….. (to replace) before they wear down completely.

  7. These machine tools ….. (to check) tomorrow.

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