Ten point eighty-six thousandths of a percent per annum. Three point five percent pro. Convert mixed numbers to decimals

Let's look at examples of how to round up to tenths of a number using the rounding rules.

Rule for rounding numbers to tenths.

To round a decimal to tenths, you must leave only one digit after the decimal point, and discard all other digits following it.

If the first of the discarded digits is 0, 1, 2, 3 or 4, then the previous digit is not changed.

If the first of the discarded digits is 5, 6, 7, 8 or 9, then the previous digit is increased by one.

Examples.

Round to tenths:

To round a number to tenths, leave the first digit after the decimal point, and discard the rest. Since the first discarded digit is 5, we increase the previous digit by one. They read: "Twenty-three point seventy-five hundredths is approximately equal to twenty-three point eight."

To round this number to tenths, leave only the first digit after the decimal point, discard the rest. The first discarded digit is 1, so the previous digit is not changed. They read: "Three hundred and forty-eight point thirty-one hundredth is approximately equal to three hundred and forty-one point three."

Rounding to tenths, we leave one digit after the decimal point, and discard the rest. The first of the discarded digits is 6, which means that we increase the previous one by one. They read: "Forty-nine point, nine hundred and sixty-two thousandths is approximately equal to fifty point, zero tenths."

We round up to tenths, so after the comma we leave only the first of the digits, the rest are discarded. The first of the discarded digits is 4, which means we leave the previous digit unchanged. They read: "Seven point twenty-eight thousandths is approximately equal to seven point zero tenths."

To round to tenths, this number leaves one digit after the decimal point, and discard all following after it. Since the first discarded digit is 7, therefore, we add one to the previous one. They read: "Fifty-six point eight thousand seven hundred and six ten-thousandths is approximately equal to fifty-six point nine-tenths."

And a couple more examples for rounding to tenths:

The decimal fraction must contain a comma. That numerical part of the fraction, which is located to the left of the decimal point, is called the whole; to the right - fractional:

5.28 5 - integer part 28 - fractional part

The fractional part of a decimal is made up of decimal places(decimal places):

  • tenths - 0.1 (one tenth);
  • hundredths - 0.01 (one hundredth);
  • thousandths - 0.001 (one thousandth);
  • ten-thousandths - 0.0001 (one ten-thousandth);
  • hundred thousandths - 0.00001 (one hundred thousandth);
  • millionths - 0.000001 (one millionth);
  • ten millionths - 0.0000001 (one ten millionth);
  • one hundred millionth - 0.00000001 (one hundred millionth);
  • billionths - 0.000000001 (one billionth), etc.
  • read the number that is the integer part of the fraction and add the word " whole";
  • read the number that makes up the fractional part of the fraction and add the name of the least significant digit.

For example:

  • 0.25 - zero point twenty-five hundredths;
  • 9.1 - nine point one tenth;
  • 18.013 - eighteen point thirteen thousandths;
  • 100.2834 is one hundred and two thousand eight hundred and thirty-four ten thousandths.

Writing decimals

To write a decimal fraction, you must:

  • write down the integer part of the fraction and put a comma (the number meaning the integer part of the fraction always ends with the word " whole");
  • write down the fractional part of the fraction in such a way that the last digit falls into the desired category (in the absence significant figures in certain decimal places they are replaced by zeros).

For example:

  • twenty point nine - 20.9 - in this example, everything is simple;
  • five point one hundredth - 5.01 - the word "hundredth" means that there should be two digits after the decimal point, but since there is no tenth place in the number 1, it is replaced by zero;
  • zero point eight hundred and eight thousandths - 0.808;
  • three point fifteen - it is impossible to write down such a decimal fraction, because a mistake was made in the pronunciation of the fractional part - the number 15 contains two digits, and the word "tenths" means only one. Correct will be three point fifteen hundredths (or thousandths, ten thousandths, etc.).

Decimal Comparison

Comparison of decimal fractions is carried out similarly to comparison of natural numbers.

  1. first, the integer parts of the fractions are compared - the decimal fraction with the larger integer part will be larger;
  2. if the integer parts of the fractions are equal, the fractional parts are compared bit by bit, from left to right, starting from the comma: tenths, hundredths, thousandths, etc. The comparison is carried out until the first discrepancy - that decimal fraction will be larger, which will have a larger unequal digit in the corresponding digit of the fractional part. For example: 1.2 8 3 > 1,27 9, because in hundredths the first fraction has 8, and the second has 7.

1. Hundred and forty-six millionth
2. Half a liter
3. Six hundred and fifty
4. Eight hundred and fifty years
5. One and a half kilometers
6. Three saleswomen
7. Twenty-two miners
8. Thirty-three point four percent
9. Double half
10. There is no correct option, it is better to say: "Ninety-three days."
***
With numerals and in general everything related to numbers, problems often arise. Non-inclination, eternal mistakes like "about three hundred" or "in the year 2000", the painful choice between "two" and "two", finally, confusion with the words "number", "number" and "quantity".
Forecast

Numerals have more than once predicted an imminent "petrification". Many linguists even now say that a few more decades - and we may stop inclining them. Maxim Krongauz, in his numerous interviews about the state of the Russian language, often reminds: numerals have been declining badly for at least 50 years, or even all 100. This is a long-standing process. Moreover, as the linguist notes, even quite educated people get confused in the declension of long numerals.

Before we go directly to the numerals, let's deal with some nouns. Journalists are often criticized for misuse the word "number". “The numbers are from one to nine, there can’t even be a number ten, not to mention millions!” Explanatory dictionaries explain: in colloquial speech (not in official texts!) Thousands and millions can be called figures. For example, Ushakov's dictionary gives such a definition to the word "number": "sum, number". A Big dictionary under the editorship of Kuznetsov, he gives such examples: “argue about the figure of the fee”, “indicate the figure of income”. In general, the figure is not at all prohibited and does not at all indicate the illiteracy of the speaker.
As for the words "number" and "quantity", they are interchangeable.

Questions about numbers and more

1. "Five hundred" or "five hundred"? Only "five hundred", "six hundred", "three hundred", "eight hundred", etc. In general, none of these numerals ends in -hundred.

2. "2001" or "2001"? Only "two thousand and one" is correct. In complex ordinal numbers, only the last part changes.

3. "Five and three tenths of a percent" or "five and three tenths of a percent"? Correct "percentA" because the fraction governs the noun.

4. "In a thousand kilometers" or "in a thousand kilometers"? Both options are correct. The fact is that the word "thousand" in this sense is unique: it can both control a noun (in a thousand of what? Kilometers), and be consistent with it (in what? in a thousand kilometers). In addition, the "thousand" itself can take different forms. Remember Pasternak: “The twilight of the night is directed at me with a thousand binoculars on an axis ...”? You can say "thousand" and "thousand".

5. If 32 miners were rescued from the mine, then how to say: “Rescued thirty-two?”, “Rescued thirty-two?” That's right: "Thirty-two miners saved." Here we must remember the special status of compound numbers that end in "two", "three", "four". In the accusative case, they have the forms "two", "three", "four". For example, “twenty-four tourists were detained”, “thirty-three students were released”.

6. Is it possible to say "with ninety rubles"? No you can not. The numerals "forty", "ninety", "one hundred" have only two forms. "Forty", "ninety", "one hundred" in the nominative and accusative cases and "forty", "ninety", "hundred" in all the rest. Therefore, it is correct - "with ninety rubles."

7. How do you spell "850th anniversary"? Is it in one word? Yes, indeed, in one word - "eight hundred and fifty". Other similar words would be spelled the same way, such as "two thousand five hundred years".

8. "Two friends" or "two friends"? Now you will say again that linguists are too liberal, they themselves do not know anything and allow everything in a row. Yes, you can do this and that. True, in fairness it should be noted that such liberties are not always permissible: the combination of "three professors" is hardly possible. There is no grammatical difference here - it's a matter of style. We quote Rosenthal: “In some cases, on the contrary, collective numbers are not used, since they bring a reduced connotation of meaning, for example: two professors, three generals (not “two professors”, “three generals”)”.

But with nouns female collective nouns are not used at all. You can't say "two dressmakers" or "three teachers".

9. What if you need to say "22 days"? No, there is no normative option here. The only way out is to look for some descriptive phrase, for example, "within 22 days." The same is recommended to do with the expression "a day and a half", which exists in literary language but grammatically flawed. It is recommended to look for turnovers: “within one and a half days”, “one and a half days”.

10. "Two-tone" or "two-tone"? Again, both are possible! But, however, there are nuances that D.E. Rosenthal: he notes that the parallel use of such words is possible, but nevertheless in most of these words there is a tendency to one variant. In terms, formations with the element "two-" prevail, and in everyday, everyday words - formations with the element "two-".
From Inet.

three point five percent of the production. four-ninths of the total commodity. one third of a pound. twenty-eight point three-fourths of a liter. one point eight elevenths of a metre. two point two thirds. five point three kilometers. seven point six hundredths of income. eleven point six hundredths of the cost. zero point six thousandth loss. two point eight tenths of a square meter. eighteen point four hundredths of a cubic meter.

Three point five percent of the production. four-ninths of the total commodity. one third of a pound. twenty-eight point three-fourths of a liter. one point eight elevenths of a metre. two point two thirds. five point three kilometers. seven point six hundredths of income. eleven point six hundredths of the cost. zero point six thousandth loss. two point eight tenths of a square meter. eighteen point four hundredths of a cubic meter.

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tres a cinco decimas por ciento de la producción. cuatro novenos de todos los bienes. un tercio de una libra. Litros de veintiocho tres cuartas partes. uno punto ocho metros undécimo. dos terceras partes de pulgadas todo. cinco tres tenths de una milla. seis siete centésimos de ingresos. Costos de once seis centesimas. cero punto seis milesimas de perdidas. dos metros cuadrados todo ocho decimas. Metros cubicos de dieciocho cuatro centésimos.

translating, please wait..

de tres y cinco por ciento de la producción. cuatro novenas partes de todos los bienes. un tercio libras. Veintiocho de tres cuartos de litro. undecima un punto ocho metros. dos puntos de dos tercios de pulgada. cinco tres decimas de un kilometro. siete punto seis por ingresos. Once completo de seis costes centesimas. punto seis milesimas perrdidas cero. Dos puntos y ocho metros cuadrados. de dieciocho punto cuatro centesimas de metro cúbico.

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