I love English and solve examples. Why do we love English? Math expressions with brackets

Relative simplicity and versatility! Today we are discussing the virtues of the English language!

Friends, I am glad to welcome you back to my blog about learning English and self-development. You may have noticed that I've been posting on my blog more than usual lately. I really hope that my newsletter does not cause you any inconvenience... I try to share with you the most useful material related, first of all, to learning English!

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Returning to the topic of today's article, I would really like to ask you what do you like most about the English language?

Easy peasy (Simply simple).

The statement that English is easy to learn is pretty relative, isn't it? If we are talking about spoken English, then discussing some everyday topic with a friend in this language is really easy. At the same time, it is not even necessary to have an extensive vocabulary. Of course, the more English words and phrases you know and, most importantly, know how to use them correctly, the more beautiful your speech will be, and the more you will be able to tell your interlocutor in English. The most important role here is played by your so-called one, which you should try to develop by speaking English as often as possible.

Universality of the English language.

Personally, I believe that English is the most universal language in the modern world. By universal, I mean its popularity. Agree that no matter what country you are in, English will become your lifeline, with the help of which you can always communicate with local residents, ask for help, solve this or that problem, etc. It is not for nothing that English has long received the status of a world language.

Well, what do you say, friends? Why do you love English? Or maybe you don't like it? I'm very interested to know your opinion!

If different prepositions with different nouns are required, they should be used. Omission of prepositions in such cases is not allowed.

You can only omit identical prepositions when listing homogeneous members of a sentence, but you cannot omit different prepositions.

For example:

We were in the cinema, in the park and the stadium (the preposition is missing with the noun stadium, repeated preposition with the word park).

Correctly:

We have been to the cinema, the park and the stadium.

For example:

I need to go to the station, to the post office and to the store (the preposition ON is repeated). Correctly:

I need to go to the station, the post office and the store.

3. Incorrect construction of sentences with homogeneous members:

a) It is impossible to combine in one sentence with the help of a union Both the participial turnover and the relative attributive with allied words which, which, which, which.

For example:

Young woman, sitting near the window and which she sang well, was filled with everything.

The participial turnover and the subordinate clause cannot act as homogeneous members. Union And must connect the same grammatical constructions: either two participial turnovers, or two subordinate attributive clauses.

Correctly:

Young woman, sitting at the window and well singing, remembered by everyone.

Young woman, which sat by the window and which) sang well, was remembered by everyone.

To eliminate such errors, the following restructuring of the sentence is also possible:

The girl who was sitting by the window sang well and was remembered by everyone.

b) An addition expressed by a noun and a subordinate clause cannot act as homogeneous members.

For example:

Economists say about the reduction inflation and what delays no more wages.

Union And must connect the same grammatical constructions: or two complements expressed by nouns; or two subordinate clauses.

Correctly:

Economists talking about a decline inflation and the absence salary delays.

in) It is impossible in one sentence to combine a noun and an infinitive as homogeneous members.

For example:

I I love English language and decide examples.

Correctly: I love English language and mathematics.

d) It is impossible in one sentence to combine predicates expressed by different forms of adjectives as homogeneous members.

For example:

All were happy and cheerful (happy is a short adjective; cheerful is a full adjective).

In this sentence, there is a violation of the way the predicate is expressed.

Correctly:

All were happy and cheerful (both predicates are expressed by short adjectives).

Or: All were happy and cheerful (both predicates are expressed by full adjectives).

Most commonly used fractions.

Even if your professional activity is in no way connected with the exact sciences, you need to know at least the basic mathematical operations in English. They are found not only in specialized literature, but also in everyday speech. In this article, we will look at terms related to arithmetic problems, fractions, percentages. At the end, I give voiced cards with the main words on the topic of mathematics.

Basic math operations in English: addition, subtraction, multiplication and division

The most commonly used mathematical terms refer to arithmetic. Please note that in Russian we have words such as:

Addition, subtraction, division, multiplication - the name of the action.
Add, subtract, divide, multiply - a verb denoting an action.
Plus, minus, divide, multiply - the name of the action that we use in speech when we read an expression, it is it that is used most often.

In English, it’s exactly the same, so let’s present the arithmetic operations in the form of a table:

Action name (noun)	Action name (verb)	Used in speech
addition - addition	Add - add	plus - plus
Subtraction - subtraction	subtract - subtract	minus - minus
multiplication - multiplication	Multiply by - multiply by	times - multiply
Division - division	Divide by - divide by	Divided by - divide
Equality - equality	Equals to \ is equal to - equal to something	Equals to \ is equal to \ is

The arithmetic problem itself (for example, 2+2) is called problem(scientifically) or sum(colloquial), decision or answer - answer, and the verb "to decide" - to solve (the problem).

Here are some examples:

2+2=4 - Two plus two equals four.
7-2=5 - Seven minus two equals five.

Often instead of equals or is equal to they just say is.

5 × 3 = 15 - Five times three is fifteen.
8÷4=2 – Eight divided by four is two.

Fractions in English

Common fractions - common fractions

If you are as “fine” with mathematics as I am, I will remind you of the most basic thing about fractions.

Common Fractions consist of numerator (numerator) and denominator (denominator). I remind you, the numerator is on top, the denominator is on the bottom 🙂 If the number consists of an integer and a fraction, for example 1½, this is called a mixed fraction or mixed numeral.

The numerator is expressed as a cardinal number, and the denominator as an ordinal. The most common fractions in speech 1/2, 1/3, 1/4 in Russian have not only “smart” names “one second”, “one third”, one fourth, but also simple ones: half, third, quarter. It's exactly the same in English.

1/2 - a half, one half.
1/3 - a third, one third.
1/4 - a quarter, one fourth.
1/5 - one fifth.
1/6 - one sixth.
2/3 - two thirds.
3/4 - three fourths.
1/8 - one eighth.
1/10 - a tenth.
1/100 - a hundredth.
1¼ - one and a quarter.
1½ - one and a half.
1¾ - one and three quarters.

Note that when the numerator is greater than one, the ending is added -s, since the denominator is used in the plural (as in Russian: two thirds, three fourths).

A noun that is defined by a fraction is used with of:

3/4 mile of a mile.
1/4 bottle of a bottle.

A noun defined by a mixed fraction is used without a preposition, but in the plural:

2 ½ miles – Two and a half miles.
1¼ bottles – One and a quarter bottles.

Decimals - decimal fractions, decimals

In English in decimals (decimals) the integer is separated from the fraction by a dot (point), and not a comma, as we have.

The zero before the dot is called zero or (UK) nought. Zero after the dot can be called Oh(like the letter “o”), zero, nought. Personally, for simplicity, I always say zero because this word is easier to pronounce and hear. If the integer in the fraction is zero, it is often omitted in speech, starting to speak immediately with “point”.

An integer is read like an ordinary cardinal number, for example 45.1 - forty five point one. But in the fractional part, each digit is read separately, too, as a quantitative one: 2.45 - two point four five(not two point forty five).

0.1 - Point one, zero point one.
0.35 - Point three five, zero point three five.
1.25 - One point two five.
35.158 - Thirty five points one five eight.
May 15 - Fifteen point zero five.

Percentages in English, difficulties with the number of the verb

Hundredths can be expressed as percentages, in which case the standard % sign and the word percent, always used in the singular.

1% - One percent.
10% - Ten percent.
17% - Seventeen percent.

Difficulty can cause a number in percentage expressions. For example:

Twenty percent of the students are/is present. – 20% of students are present.
The remaining twenty percent of the script has/have been written. – The remaining 20% of the script was rewritten.

In such cases, the verb agrees in number with the noun after of:

Twenty percent of the students are present (because students are plural).
The remaining twenty percent of the script has been rewritten (because script is a singular number).

Exponentiation in English

Expressions are used to indicate the degree to the power of five, to the fifth power, raised to the power of five, raised to the fifth power. For the 2nd and 3rd degree, the terms “squared” are used (squared) and "cube" (cubed).

3 2 - Three squared, three to the second power.
3 3 - Three cubed, three to the third power.
10 4 - Ten to the fourth power, ten to the power of ten.
30 24 – Thirty to the power of twenty four.

The square root is called square root:

√16 = 4 - The square root of sixteen is four.
√25 = 5 - The square root of twenty five is five.

Math expressions with brackets

The parentheses are called parentheses(singular parenthesis) or, more simply, round brackets. If an expression is in parentheses and an operation is applied to it, the word is used quantity.

(2+3)×4=24 - Two plus three quantity times four equals to twenty four.
(3+5) 2=64 - Three plus five quantity squared is sixty four.

Cards with English words on the topic “Mathematics”

The math terms in this article can be learned using Quizlet flashcards and printable PDF flashcards.

math (mathematics)	mathematics
do the math	count (math. actions)
problem (sum)	arithmetic problem
to solve	decide
answer	answer
digital	number
number	number
odd number	odd number
even number	even number
to add	add
to subtract	subtract
to multiply by	multiply by
to divide by	divide by
to be equal to	dress
plus	plus
minus	minus
times	multiply
divided by	divide
equals to	equals
common fractions	simple fractions
numerator	numerator
denominator	denominator
mixed number	mixed number (fraction)
half	half
quarter	quarter
decimals (decimal fractions)	decimals
point	dot (in decimals)
percent	percent
to the power of five	to the fifth degree
two squared	two squared
two cubed	two in a cube
square root	Square root
round brackets	round brackets
brackets	square brackets
round up the numbers	round numbers

Many people think that their life has nothing to do with mathematics and they do not need to understand the wilds of this topic in English. But numbers surround us everywhere: phone numbers, credit cards, flights, not to mention dates. Today's material will be useful to everyone: enthusiastic mathematics enthusiasts and humanities far from the world of exact sciences.

I would like to start with numbers ( numerals), because this is the first thing we encounter in a mathematical context. Let me remind you that there are two types of numerals: (answer the question “how much?”) And (answer the question “which number?”).

Let's pay special attention to the pronunciation of certain numerals, since this seemingly simple moment sometimes causes confusion even among experienced "users" of the language.

Type	rule	Example	Peculiarity
hundreds	And between hundreds and tens.	“101 (one hundred and* one) Dalmatians” is my favorite cartoon.*
thousands	And not put between thousands and hundreds.	The population of my village is almost 6500 (six thousand five hundred) people. 1253 (one thousand two hundred and* fifty-three) candidates passed this exam last year.*	Americans sometimes pronounce thousands and hundreds like this: 1500 = fifteen hundred= 15 hundreds.
Hundreds and tens of thousands	And between hundreds of thousands and tens of thousands.	The population of Liverpool is 466,415 (four hundred and* sixty-six thousand, four hundred and fifteen people*.	Americans use and much less than the British. So, they would say: 466 415 = four hundred sixty-six thousand, four hundred fifteen.
Millions	And not put between millions and thousands.	There are 2 629 743 (2 million, 6 hundred and* 29 thousand, 7 thousand and 43) seconds in one month.*
Billions	And not put between billions and millions.	The world population was 5,320,816,000 (5 billion, 3 hundred and* 20 million, 8 hundred and 16 thousand people in 1990.*

A series of numbers ( series of numbers): pronouncing a series of numbers that make up a bank account, credit card or phone number, we call each digit separately. In this case, zero is pronounced as Oh in the British version, and how zero- in American:

His credit card number is 5368 7208 0944 0699 (five three six eight, seven two oh/zero eight...). – His credit card number is 5368 7208 0944 0699.

At the same time, if the phone number contains two identical numbers standing side by side, it says, for example double nine:

My friend's number is 2290 4566 (double two nine oh four five double six). - My friend's phone is 2290...

Naming decimals ( decimals), we use the words nought(British English) and zero(US English): 10.39 ( ten point thirty-nine) - ten point and thirty-nine hundredths. You can learn more about the features of pronunciation in our article.

And finally, we turn to mathematical operations ( mathematical operations): addition ( addition), subtraction ( subtraction), multiplication ( multiplication) and division ( division).

To add to / to plus- add.
to minus / to subtract from- subtract.
to multiply by- multiply.
to divide by- share.
To equal- equal

Action	Example in English	Translation
Example: 7 + 8 = 15	7 plus/and 8 equals/is 15. Add 7 to 8 and you'll get 15.	7 plus 8 equals 15. Add 7 to 8 and you get 15.
Example: 23 - 3 = 20	Twenty-three minus three equals/is twenty. If you subtract 3 from 23, the answer is 20.	23 minus 3 is 20. If you subtract 3 from 23, the answer is 20.
Example: 6 * 4 = 24	6 multiplied by 4 / 6 times 4 equals/is 24. Multiply 6 by 4 and you'll get 24.	6 times 4 equals 24. Multiply 6 by 4 and you get 24.
Example: 9 ÷ 3 = 3	9 divided by 3 equals/is 3. If you divide 9 by 3, the answer is 3.	9 divided by 3 equals 3. If you divide 9 by 3, the answer is 3.

Glossary on the topic "Mathematics"

To do sums / to solve problems- solve problems and examples.
He is the best at doing sums in our class. He solves examples better than anyone in our class.
Common denominator- common denominator.
The task is to reduce to the common denominator. - The task is to bring to a common denominator.
Difference- difference.
The difference of 15 and 10 is 5. - The difference between fifteen and ten is five.
Equation /ɪˈkweɪʒ(ə)n/ - the equation.
Solve the equation. - Solve the equation.
Improper fraction- an improper fraction.
“Improper fractions” are not an easy topic for him. “Irregular fractions is not an easy subject for him.
mixed fraction- mixed fraction.
He knows exactly what a mixed fraction is. He knows exactly what a mixed fraction is.
Numerator /ˈnjuːməˌreɪtə(r)/ is the numerator.
Numerator is the number above the line in a common fraction showing how many of the parts indicated by the denominator are taken. - The numerator is the number above the line of a simple fraction, showing how many parts indicated by the denominator are taken.
Quotient /ˈkwəʊʃ(ə)nt/ - quotient (when dividing).
Quotient is a result obtained by dividing one quantity by another. - A quotient is a value obtained by dividing a certain number by another.
Remainer- remainder.
Remainder is the number that is left over in a division in which one quantity does not exactly divide another - The remainder is the number left after division when one number does not divide another without a remainder.
Cube root of is the cube root of.
Find the cube root of 15. - Find the cube root of 15.
Inequality /ˌɪnɪˈkwɒləti/ is an inequality.
Inequality is the relation between two expressions that are not equal. – An inequality is a relationship between two expressions that are not the same.
Equality/ɪˈkwɒləti/ – equality.
Equality is the condition of being equal in number or amount. – Equality is the identity of a number or magnitude.
mathematical sign- mathematical sign.
Minus is an example of a mathematical sign. Minus is an example of a mathematical sign.
multiplication table- multiplication table.
Schoolchildren learn the multiplication table all over the world. Schoolchildren around the world are learning the multiplication table.
Parentheses /pəˈrenθəsɪs/ or round brackets– round/oval brackets.
Parentheses are widely used in mathematics. – Parentheses are widely used in mathematics.
right angle- right angle.
The right angle is 90˚ (degrees). - A right angle is 90 degrees.