The difference between numbers and digits. Names of large numbers Negative effect on character
For the convenience of reading and remembering large numbers, the numbers are divided into so-called "classes": on right separate three digits (first class), then three more (second class), and so on. The last class can have three, two and one digit. There is usually a small space between classes. For example, the number 35461298 is written as 35461298. Here 298 is the first class, 461 is the second class, 35 is the third. Each of the digits of a class is called its rank; the number of digits also goes to the right. For example, in the first class 298, the number 8 is the first digit, 9 is the second, 2 is the third. The last class can have three or two digits (in our example: 5 is the first digit, 3 is the second) or one.
The first class gives the number of units, the second, thousands, the third, millions; in accordance with this, the number 35 461 298 reads: thirty-five million four hundred sixty-one thousand two hundred ninety-eight. Therefore they say that the unit of the second class is a thousand; the unit of the third class is the million.
The unit of the fourth class is called a billion, or, in other words, a billion (1 billion = 1000 million).
The unit of the fifth class is called the trillion (1 trillion = 1000 billion or 1000 billion).
Units of the sixth, seventh, eighth, etc. classes (each of which is 1000 times larger than the previous one) are called quadrillion, quintillion, sextillion, septillion, etc.
Example: 12,021,306,200,000 reads: twelve trillion twenty one billion three hundred six million two hundred thousand.
It consists of a ten and a three: both numbers have a significant impact on it. Ten symbolizes leadership qualities: it is literally saturated with the energy of movement and success, individual growth and original ideas. This is a sign of progress and the ability to achieve the goal. The three symbolizes optimistic moods. It allows a person to actively communicate, establish new connections. It is a symbol of intellectual development and the ability to compassion.
mystical meaning
Ten can be reduced to one, and then we got the sign of leadership. In addition, it can be considered as a sign of harmony in the material world. No less interesting is the combination of the three and the seven: these are the signs of Reason and Creation. Inside the ten, contradictions are also hidden: they can be seen in the sum of two ordinary fives. Many ancient thinkers, including the famous Pythagoras, considered the ten to be a symbol of the cosmos itself. It stores in itself all the knowledge collected by our race.
Three allows its wearer to develop extrasensory skills. Quite often, its carriers are engaged in the study of mystical knowledge and ancient sciences. As a rule, the triple rejuvenates its wearer. Most strangers are not able to determine the exact age of such a person.
A frequent meeting with the number 103 indicates the completion of the cycle that has begun. A similar interpretation can be found in many sources, including the books of the ancient Maya Indians. It is also a sign of imminent changes that will lead you to success.
Positive impact on character
103 carriers are independent: it is difficult for them to impose their own views or force them to complete a certain task. Best of all, such people manifest themselves in the chair of the head or general director. Thanks to a well-developed mind, the carriers of one hundred and three achieve their goals. They are able to organize a team of competent people, in which each of them will perform a certain job. And a sufficient level of perseverance allows you to overcome many pitfalls.
103s love adventure as much as they love their jobs. They actively move around the globe and travel a lot. Each new day for them is an opportunity for a new discovery and positive emotions.
Negative influence on character
A low level of spiritual development has a bad effect on the carriers of this figure. The most negative qualities are manifested in their character. Leadership turns into stubbornness, and business pressure can degrade into the usual irascibility and rudeness. As a rule, such people set significant goals for themselves, but are not capable of achieving them.
A number is a quantitative characteristic of something. Initially, the numbers were indicated by dashes. But this is inconvenient: try to write two hundred and fifty-five lines accurately on unlined paper. That's it! Fortunately, in India, a decimal number system was invented, which allows you to write any natural number with just ten digits!
Single-digit numbers have only one digit 0 1 2 3 4 5 6 7 8 9 Double-digit numbers have only two digits 10 11 12 13 14 15 16 … 97 98 99 Three digit numbers only three digits 100 101 102 103 104 105 106 … 997 998 999 Four-digit numbers only four digits 1000 1001 1002 1003 1004 1005 1006 … 9997 9998 9999 …
To write the number 255 (Two hundred and fifty five), you need only two digits: "2" and "5". The number "5" is used twice. The first right digit in the number indicates the number of units (five lines), the second - the number of tens (five times ten lines), the third - the number of hundreds (two times one hundred lines), the fourth - the number of thousands, etc.
255 (two hundred and fifty five)
2
5
5
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Numbers are not just digits. Also, for example, the minus or comma symbols are used to separate the fractional part.
Reading and pronouncing integers and decimals
two hundred fifty five point one hundredth
2
5
5
,
0
1
…
Billions
Hundreds of millions
Tens of millions
Millions
Hundreds of thousands
Tens of thousands
thousands
hundreds
Dozens
Units
tenths
hundredths
thousandths
Ten-thousandths
Hundred-thousandths
Millions
…
After twenty, numbers have a compound name.
2
5
6
(
Two hundred
fifty
six
)
2
0
0
(
Two hundred
)
5
0
(
Fifty
)
6
(
Six
)
1
one
11
eleven
10
ten
100
one hundred
2
two
12
twelve
20
twenty
200
two hundred
3
three
13
thirteen
30
thirty
300
three hundred
4
four
14
fourteen
40
fourty
400
four hundred
5
five
15
fifteen
50
fifty
500
five hundred
6
six
16
sixteen
60
sixty
600
six hundred
7
seven
17
seventeen
70
seventy
700
seven hundred
8
eight
18
eighteen
80
eighty
800
eight hundred
9
nine
19
nineteen
90
ninety
900
nine hundred
The number is spoken in three digits with the corresponding class. You can make very big numbers.
256 (Two hundred and fifty six) 256,000 (Two hundred and fifty six thousand) 256 256 (Two hundred and fifty six thousand two hundred fifty six) 2 256 256 (Two million two hundred fifty six thousand two hundred fifty six)
Pronounced in decimals
number before decimal point,
the word "whole" or "whole" (meaning "whole unit"),
number after decimal point,
the digit of the rightmost digit (meaning "part of the unit").
256.01 (Two hundred and fifty six whole units one hundredth of a unit)
In infinite periodic decimals it is pronounced
number before decimal point,
the word "whole" or "whole",
number after the decimal point before the period,
the digit of the rightmost digit before the period,
the word "and"
period number,
the word "in the period"
5,(6) (Five point and six in a period) 0.1(15) (Zero point one tenth and fifteen in a period)
Classical notation of numbers in Roman numerals
=
Prior to Arabic numerals, Roman numerals were used. In order not to lose count when writing lines, first every fifth, and then every tenth line was singled out. Over time, the entry "| | | | v | | | | x | | | | v | | | | x | | | | V|» decreased to "XXVI".
I
V
X
L
C
D
M
1
5
10
50
100
500
1000
Roman numerals, which have a greater value, are in the number to the left of those with a lower value. Their values add up (VI = 5 + 1 = 6). The numbers "V", "L", "D" are not repeated.
Exceptions: since the 19th century, the combinations "IV", "IX", "XL", "XC", "CD", "CM". In order to avoid the fourfold repetition of one digit (incorrect: "IIII"), in them the digit with a larger value is to the right of the digit with a smaller value and the smaller value is subtracted from the larger value (IV = 5 - 1 = 4).
I
one
X
ten
C
one hundred
M
one thousand
II
two
XX
twenty
CC
two hundred
MM
two thousand
III
three
XXX
thirty
CCC
three hundred
MMM
three thousand
IV
four
XL
fourty
CD
four hundred
V
five
L
fifty
D
five hundred
VI
six
LX
sixty
DC
six hundred
VII
seven
LXX
seventy
DCC
seven hundred
VIII
eight
LXXX
eighty
DCCC
eight hundred
IX
nine
XC
ninety
CM
nine hundred
CC
L
VI
(
Two hundred
fifty
six
)
CC
(
Two hundred
)
L
(
Fifty
)
VI
(
Six
)
What are the numbers (school curriculum)
Natural numbers are positive integers that have arisen when counting objects 1 2 3 ... 98 99 100 ... Prime numbers are natural numbers that are divisible without a remainder by only two natural numbers: 1 and itself (a unit is not a prime number) 2 (2/2 = 1 2/1 = 2)
3 5 ... 83 89 97 ... Composite numbers are natural numbers that are divided without a remainder by three or more natural numbers (a unit is not a composite number) 4 (4/4 = 1 4/2 = 2 4/1 = 4)
6 8 ... 98 99 100 ... Round numbers are natural numbers that end in 0 10 20 30 ... 100 ... Integers are natural numbers, zero and the opposite of natural numbers (negative) ... -100 -99 -98 ... -2 -1 0 1 2 ... 98 99 100 ... Even numbers are whole numbers that are divided by the number 2 without a remainder ... -100 -98 -96 ... -4 -2 0 2 4 ... 96 98 100 ... Odd numbers- these are integers that are not divisible by the number 2 without a remainder ... -99 -97 -95 ... -3 -1 1 3 ... 95 97 99 ... Real numbers are rational and irrational numbers ... -100.5 ... -5, ( 6) ... -3 ... -2, where the numerator m is an integer, and the denominator n is a natural number ... -100.5 ... -5, (6) ... -3 ... -2 or ±m / n, where n ≠ 0 … -
201
2
… -
17
3
… -
3
1
… -
14
5
… -
4
2
… -
5
5
… -
6
7
… -
114
990
… -
1
500
… -
1
1000
…
0
98
…
1
1000
… … -5 … - … -
17
3
… -
3
1
… -
14
5
… -
4
2
… -
5
5
…
5
5
…
4
2
…
14
5
…
3
1
…
17
3
…
201
2
... A decimal is a fraction represented in decimal notation, since n = 10 z, where z is a natural number ... -100.5 ... -5.6666666666 ... ... -2.8 ... -0.8571428571 ... ... -0, 1151515151… … -0.002 … -0.001 … 0.001 … 0.002 … 0.1(15) … 0.(857142) … 1.4142135623… … 1.6180339887… … 2.7182818284… … 2.8 … 3.1415926535… … 5,(6) … 100.5 … End decimal has a finite number of decimal places … -100.5 … -2.8 … -0.002 … -0.001 … 0.001 … 0.002 … 2.8 … 100.5 … Infinite decimal the fraction does not have a finite number of digits after the decimal point … -5.6666666666… … -0.8571428571… … -0.1151515151… … 0.1(15) … 0.(857142) … 1.4142135623… … 1.6180339887… … 2.7182818284… … 3.1415926535… … 5,(6) … An infinite recurring decimal fraction - a fraction that, starting from a certain place after the decimal point, has no other symbols except for a periodically repeating group of digits … -5.6666666666… … -0, 8571428571… … -0.1151515151… … 0.1(15) … 0.(857142) … 5.(6) … Infinite non-periodic decimal fraction … 1.41421356 23… … 1.6180339887… … 2.7182818284… … 3.1415926535… … Positive numbers are numbers that are greater than zero (zero is not a positive number) … 0.001 … 0.002 … 0.1(15) … … -2 … -1 … -