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6. Answer the following questions:

I. What is a common fraction called?

2. What is a proper fraction called?

3. Is the value of a proper fraction more or less than 1/2?

4. What do we call mixed numbers?

5. How do you reduce a fraction to its lower terms?

7. Translate into Russian:

Fraction indicates division, the numerator being a dividend, the denominator is a divisor, and the value of the fraction is the quotient.

A fraction can be reduced to lower term if the numerator and the denominator are divisible by a single number, that is if they have a common divisor. In order to reduce a fraction to its lowest term, therefore, it is seen at once that the greatest common divisor must be used.

8. Translate into English:

Дробь, у которой числитель меньше знаменателя, называется правильной Правильная дробь меньше единицы. Дробь, у которой числитель равен знаменателю или больше его, называется непра­вильной дробью. Таким образом, неправильная дробь или равна единице, или больше её. Числа, которые состоят из целого числа и дроби, называются смешанными числами. Сокращением дроби называется замена её другой, равной ей дробью с меньшими членами, путём деления числителя и знаменателя на одно и то же число. Это число называется общим делителем.

Decimal fractions

A decimal fraction is a special type of fraction written without a denominator but in which the number of figures on the right-hand side of a dot, called a decimal point, indicates whether the denominator is 10 or

a higher power of 10.

If any figure of the number is moved one place to the right, the value of the number is multiplied by 10. If round off a decimal to a particular place, inspect the figure to the right of the required place if it is 5 or over, change the last required digit to the next higher figure and drop all decimals to the right of the required figures; if it is less than 5, drop all decimals to the right of the required figure.

A decimal fraction may be changed to a common fraction by: leaving out decimal point, writing the decimal number as the numerator and the number shown by the name of the last decimal place as the denominator.

Exercises:

1. Read the following words paying attention to the pronunciation:

Special, place, decimal, indicate, without, whether, higher, power, leave, greatest, figure, require, determine.

  1. Give English equivalents of the following:

десятичная дробь, записывается без знаменателя, число увеличивается в 10 раз, округлить до определенного места, отбросить десятые, изменить последнюю требуемую цифру, убрать десятичную точку, если оно меньше 5, справа от десятичной точки

3. Form nouns of the following verbs:

to determine, to place, to indicate, to move, to inspect, to require, to compare.

4. Answer the following questions:

1. What is the decimal fraction?

2. How do we write decimal fractions?

3. How do you round off a decimal to a particular place?

4. How do you change decimal fractions?

5. Insert the missing words.

1. A decimal ... is a special type of fraction written ....

2. If any figure of the number moved ... to the right, the value of the number ... .

3. A decimal fraction may be ... to a common fraction by ... decimal point.

4. When we round off a decimal fraction, we ... the figure to the right of ... .

5. The number shown by the name of the last decimal place we write as ... .

6. Put four questions to the text and answer them.

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