The meaning of decimals, fractions, percentages

Significance of decimals: The denominator is ......can be expressed as a decimal.

Percentage: A number that indicates a fraction of a number of another number, called a percentage. Percentages are also called percentages or percentages. Percentages are usually not written in the form of fractions, but are followed by a percent sign "%" after the numerator

Fractions: Divide unit 1 into several parts, and take a few of them to mean that there is a fraction of the numerator and denominator in mathematics.

Integer: Natural numbers are all integers.

Natural Number: A number used to represent the number of objects. (e.g. .......)Note: However, integers are not necessarily natural, and natural numbers are only one of the integers.

Decimal: Divide the integer "1" into 10, 100, 1000, ......One or more of these is tenth.

One percent.

1. One in 1,000 ......It can be expressed as a decimal. (e.g. .......)8……are all decimals).

Fraction: The division of an object or unit of measurement into equal parts, which can be expressed as fractions. (Significance).

Fraction: The unit "1" is divided into several parts equally, indicating the number of one or several parts obtained in this way, which is called a fraction.

Percentage: A number that indicates that one number is a percentage of another number, called a percentage. Percentages are also called percentages or percentages. Percentages are usually expressed as "%".

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Relationship between decimals, fractions, percentages: The most obvious feature of decimals is that they have a decimal point.

Fractions can be converted to percentages, and percentages can also be converted to fractions.

A fraction is a number that is not 0 as the denominator, and the numerator is any number.

The denominator of the percentage is 100 and the numerator is any number.

Decimals are basically not reduced to whole numbers; (Only all the decimal places are 0, just delete the 0 and decimal points, and the others can only be approximately equal to the whole number).

Decimal fraction: The decimal subtracts 0 and 1 decimal point + n 0s (n is the decimal point after the original decimal point, and a few zeros are added after 1). Finally, it is usually reduced to the simplest score.

Decimal percentage: Multiply the decimal by 100 plus percent

Fractions are basically not rounded into whole numbers; (Only the numerator is an integer multiple of the denominator, and the others can only be approximately equal to the integer).

Fractional decimal: divide the numerator by the denominator (some can directly calculate the result, some cannot directly calculate the result, but the result can be expressed in a loop, and some cannot calculate the result, such as an irregular loop).

Fractional percentage: Fraction is converted into decimal first, and then into percentage.

A fraction is an equal division of a unit into several parts, indicating that the number of such a part or parts is a decimal number.

The percentage is: The number that indicates that one number is a percentage of another number is called a percentage. It is also called a percentage or percentage.

The decimal is: divide the whole number into 10, 100, 1000, ,..One or several such copies are one-tenth, one-hundredth, one-thousandth. Or a few tenths, a few hundredths, a few thousandths. It can be expressed as a decimal.

The relationship between the three: a fraction can represent both a number and a ratio of two numbers, while a percentage can only represent the ratio of two numbers. There can be no units. Decimals are another way to express them. The three are interchangeable.

The fraction is to divide a number into several parts, take one or several of them, and the decimal is the denominator is 10, 100, 1000, etcThe fraction is a fraction with a denominator of 100.

The three numbers can be converted into each other.

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1。They can replace each other, the decimal is replaced by a fraction, the numerator is all the numbers of the decimal, and the denominator is to see how many digits there are after the decimal point, write as many 0s, and then add a 1 before the zero, and then replace the fraction with the simplest fraction; To convert a decimal to a percentage, move the decimal point to the right by two places, and then add the percent sign; When a fraction is converted to a decimal, divide the numerator by the denominator; If the fraction is changed to a percentage, it will be replaced by a decimal first and then a percentage; Replace the percentage with a decimal place, move the decimal point to the left by two places, and then remove the percent sign; Percentages are converted to fractions, and then to fractions.

2。The structure of a fraction is the numerator, semicolon, denominator, numerical value.

The structure of the ratio is the preceding term, the ratio sign, the posterior term, the ratio.

The structure of division is dividend, divide, divisor, quotient.

Their relationship is:

Numerator = preceding term = dividend.

Semicolon = Ratio = Division.

Denominator = Latter Term = Divisor.

Numeric value = ratio = quotient.

3.The law of quotient invariance = the dividend and the divisor are multiplied or divided by a number that is not 0 at the same time, and the quotient is invariant The basic property of fractions: the numerator and denominator are multiplied or divided by a number that is not 0 at the same time, and the magnitude of the fraction is unchanged.

Multiplying the decimal by 100 plus the percent sign "%" is the percentage.

Divide the percentage by 100 and remove the percent sign "%" to be the decimal place. (e.g. .......)

Percentages can be converted into decimal numbers by dividing the numerator by the denominator, e.g. 30 100 0 3, 19 100 0 19, ......

Decimals can also be converted into fractions (or percentages) by looking at the decimal places, i.e., the first decimal place is the decimal place, the second place is the percentage, the third place is the thousandth place, ......If there is only one person, write a few tenths, if there are two people, write a hundredth, if there are three, write a few thousandths......

For example: 0 3, because the decimal part has only one decimal place, so it becomes 3, because the decimal part has two decimal places, counting to the second decimal place is the percentile, so 0 67 can be turned into 67 because there are three decimal places, counting to the third digit is a thousand fractions, so it can be turned into 111 (after being converted into a fraction, it can be reduced to a typical offer point).

From the big point of view, percentages and fractions both belong to a kind of fraction, the two percentiles use 100 as the denominator, the fraction can be a percentage, the denominator is 100, the fraction can be any number, except zero, can be scored, and the decimal is another form of fraction. With any number, except zero, you can do points, decimal is another form of fraction, but**there is but**there is fantasy**, wireless is not magical**, and fractions can be more accurate expression of values. Therefore, percentages and fractions and decimal numbers are both different and related.

The total score is calculated according to 60% of the written test score and 40% of the interview score. For example: A written test score is, B written test score is.

a: 60% of the written test score =

b60% of the written test score =

The difference between the two is 3 points =

Suppose interview A is scored 100 points, 40% = 40 points, and B interview is also 100 points, 40% = 40 points.

The total score of A is = written test score + interview score =

The total score of B is = written test score + interview score =

It is a relationship that can be transformed into two by two.

Fractionalize decimals: Divide the numerator by the denominator to get the decimal.

Such as 200

Decimal fraction suspect friend Lu: The first component parent is ......The denominator is then reduced.

For example, after the contract, it is635 635 1000 (127 200 later) <>

Percentile fraction: The integer before the percent sign is the numerator, the denominator is a fraction of 100, not the simplest fraction, the offer is divided into the simplest fraction.

For example, % 126 100 (63 50) after the approximation is % 126 100 (63 50 after the approximation).

1. The denominator of the fraction is the factor of 100, according to the basic nature of the fraction, the fraction is directly converted into the fraction whose denominator is 100, and then written into the form of a percentage.

Such as 200

2. The denominator of the fraction is not the factor of 100, according to the relationship between division and fractions, the fraction is divided into decimal places (when the division is not exhausted, three decimal places are usually retained), and then as long as the decimal point is moved to the right by 2 places, and finally the percent sign "%" is added to the end Of course, the denominator is the fraction of the factor of 100, and the fraction can also be converted into a decimal place, and then turned into a percentage.

Such as: 1 3 (

Decimal percentage: Just move the decimal point to the right by two places and add a percent sign "%" at the end

(e.g. .......)6789 Morning26=126%

Percentage: Just remove the percent sign at the end and move the decimal point to the left by two places.

Example %

The meaning of percentages.

Percentages can only represent fractions, not units. Although the percentage is denominated by 100, the numerator can be greater than 100, for example, 200% represents 2 times the original number. For example, if a company's net profit last year was 1 million yuan, and this year's net profit is 1.2 million yuan, it can be expressed as "this year's net profit is 20% higher than last year", or it can be written as "this year's net profit is 120% of last year", but this is rarely used.

Percentages can sometimes be misleading, and many people think that an increase in one percentage will be offset by the same falling percentage, such as a 50% increase from 100, which is equal to 100 + 50, or 150. And a 50% drop from 150 is 150-75, which equals 75. The end result is less than the original number 100.

The numerator of the percentage can also be a decimal. For example, if there are 100 students in the first grade, 47 of them are women, and 47 percent of the students are in writing For example, there are 200 students in the second grade, of which 100 are women, and 50 percent are women In both examples, the number of students in both grades is the "standard quantity", and the number of female students is the "comparative quantity" In the teaching of percentage problems, it is necessary to grasp the quantitative relationship of comparative, standard, and percentage (percentage) for analysis

Decimal meaning: can start from the meaning of the fraction, the meaning of the fraction can be explained by the subdivision and synthesis activities, when a whole (referring to the benchmark quantity) is divided equally, the amount that gathers one of the parts is called the component, and the fraction is used to represent or record the component. For example, 2 5 refers to the fraction of an integer divided into quintiles and then gathered in two of them.

When the whole is divided into tenths, hundreds, thousands, ......At this time, another method of recording is used: decimal. For example, 1 10 is recorded as a record, etc. Among them

It is called a decimal point and is used to separate the integer part from the fractional part that cannot form an integer. If the integer is not 0, it is called a decimal number, and if it is 0, it is called a pure decimal. From this, it can be seen that the meaning of decimals is part of the meaning of fractions.

They have different meanings, and the percentage only represents the multiples of two numbers, and cannot carry the name of the unit; Decimals can not only represent specific numbers, but also represent the relationship between two numbers, and can include the name of the unit when expressing specific numbers.

The meaning of percentages. One number accounts for a few percent of the other.

the meaning of decimals; Divide the unit "1" into several equal parts, and take the different points of the unit.