Learn mathematics in English

I. Read the text and do the exercises below it. Advanced arithmetical operations

In spoken English, 5² is ‘five to the power (of) two’, 5⁶ is ‘five to the power (of) six or ‘five to the sixth power’, etc. An alternative way of saying 5², 7², etc. is ‘five squared, seven squared’, etc. An alternative way of saying 5³, etc. is ‘five cubed’, etc. In spoken English 5^-2 is ‘five to the power (of) minus two, 6^-5 is six to the power (of) minus five or ‘six to the minus fifth power’, etc. The superscript above and to the right of the number is called the exponent. This arithmetical operation is called raising to a power or exponentiation or involution. The result of this operation is called the value of the power.

In spoken English, √64 is ‘the square root of sixty-four’, and is ‘the cube root of eight’. All other roots are expressed using ordinal numbers, e.g. is ‘the fourth root of sixty-four’, and is the fifth root of one hundred and twenty-five. This operation is called extracting a root or evolution. The result of this operation is called the value of the root.

Exercise 1

Work in pairs. Ask each other to say numbers from the table below. For example:

A: What is the number in column 3, row A?

B: It’s nine to the power minus 17.

	1	2	3	4	5	6
A	42	77	9-17	83	14-3	√81
B	156		263-4			501/2

Unit 4

What’s your university like?

Vocabulary

1. Guess the meaning of these international words. Check with your teacher or a dictionary

Foundation, pedagogical, institute, college, provincial, philology, physics, chemistry, biology, economics, finance, international, academy – academic – academician, candidate, corresponding, assistant, laboratory, recreation, dissident, politician, originally, manufacturer, charter, social, scholar, author, authority, vice-chancellor, cube, exponent, evolution

2. Key words:

Anniversary	Річниця
Academic staff	Професорсько-викладацький склад
Dean	Декан
Educational facilities	Навчально-матеріальна база
Numerous	Численний
To accommodate	Надавати житло, притулок
Fortnight	Два тижні
Academic excellence	Високі показники у навчанні
To merge	Зливатися, об’єднуватися
Merger	Злиття, об’єднання
To grant	Дарувати
Rapidly	Швидко
To increase	Збільшувати (ся)
In terms of applications per place	За кількістю заяв на місце
To be engaged in something	Займатися чим-небудь
Governance	Керування, управління
Boast	Хвастатися
Precursor	Попередник

Reading

Task 1. Group A. Read the following information