Упражнения: № 5

Найдите в тексте английские эквиваленты следующих слов и выражений (упражнение дано с ответами)

 

касаться, иметь отношение – to be concerned with

множество четных и нечетных числе – a set of even and odd numbers

общее свойство – common property

пара сомножителей – a pair of factors

суммировать – to summarize

ассоциативный – associative

выше упомянутое уравнение - the above equation

а именно – that is

независимо от порядка - Regardless of the order

в виде сомножителей – as factors

простое число – prime

составное число – composite

 

 

Упражнение № 6

Найдите в тексте синонимы следующих слов (упражнение дано с ответами):

many pronouncements in maths – many statements in mathematics

two factors – a pair of factors

0 multiplied by 5 is – 0 times 5 equals

the answers are summed up in – the answers are summarized

in factored form – in factoral name

for instance – for example

let us agree to leave out 1 – let us agree to omit 1

irrespective of the order – regardless of the order

3, 4 and 5 should be regarded – 3, 4 and 5 should be considered

therefore – hence

 

Упражнение № 7

Найдите в тексте антонимы следующих слов (упражнение дано с ответами):

disagree – agree

unequal – equal

largest – smallest

less than – more than

even number – odd number

fractional factors – whole factors.

 

Упражнение № 8

Переведите на русский язык, обращая внимание на употребление must и need в отрицательных предложениях.

 

1. You mustn’t smoke in the room.
2. the children mustn’t play with matches.
3. Shall I go to the chemist’s now? No, you needn’t. You may go there tomorrow morning.
4. You needn’t make this experiment now. You’d better do it later.
5. The sick man mustn’t take the medicine without consulting the doctor first.
6. The children needn’t water the flowers now, it looks like rain.

 

 

Упражнение 9. Выберите правильный ответ на данный вопрос

1. What number is called a composite number?	1. Any integer greater than unit and having no divisors except itself and unit. 2. A number which has other factors besides unit and itself. 3. A number applying to specific counted or measured things, objects, quantities etc.
2. What is a prime number?	1. A number showing how many times a certain number is taken as a factor. 2. An integer which has no integral factors except unity and itself. 3. An integer having other divisor except unit and itself.
3. How many prime numbers are there between 1 and 20?	8 (2, 3, 5, 7, 11, 13, 17, 19) only 5
4. How many of these numbers are even numbers?	1 5
5. How many of the first 8 prime numbers are odd numbers?	1. 7 2. All of them
6. What does every prime end with?	1. Every prime ends with the digit 1, 3, 7 or 9. 2. Every prime ends with the digit 1, 3, 7 or 9 with the exception of 2, 5.
7. Is every whole number ending with 1 or 3 or 7 or 9 a prime?	1. Yes, it is. 2. No, itsn’t.
8. Which numbers between 1 and 20 have only 1 and themselves as factors?	1. 5 and 11 2. 7 and 3 3. 1, 2, 3, 5, 7, 11, 13, 17, 19.

 

10. Выберите правильный вопрос

1. Any integer greater than 1 and having no divisors except itself and unit is called a prime number.	1. What does mathematics deal with? 2. What number is called a prime number? 3. What property has any prime number?
2. If numbers are applied to specific counted or measured things, objects, quantities etc., the numbers are said to be concrete numbers.	1. What numbers are studied in Arithmetic? 2. Why can’t we say that the number 13 is a concrete one? 3. What do we call numbers that are used in the applications of arithmetic to solve problems in calculations of shop work, business, science, etc.?
3. The numbers which have no factor in common except unity are called relatively prime numbers.	1. What do you mean by relatively prime numbers? 2. Is there any difference between the following: "co-prime numbers” and "relatively prime numbers”? 3. How many common factors have two relatively prime numbers?
4. Abstract numbers are studied and used in all the rules of pure arithmetic.	1. What does arithmetic deal with? 2. Is there any difference between abstract numbers and concrete ones? 3. What numbers are known as abstract ones?

 

11. Прочтите и переведите следующие предложения на русский язык.

а) to be able to

1. I’m able to find the necessary date.

2. He was able to give only a general definition.

3. Shall we be able to consider the advantages of the method developed?

4. Was he able to find the difference?

5. They will not be able to check the result.

 

b) to have to

1. She has to present her paper next month.

2. They will have to use the binary system of notation.

3. He had to prove his statement.

4. Did you have to accept their plan?

5. Does she have to deal with that subject?

6. Did you have to check division by multiplication?

 

a)      to be to

 

1. He was to speak at the conference.
2. Am I to give you only the general idea oа our work?
3. Was he to show them the result of their recent research?
4. She is not to attend tomorrow’s lecture.

 

 

Упражнения (продолжение)