About math ratios What is the ratio in mathematics

ratio and proportion. 1. Ratio.

The meaning of the ratio: The division of two numbers is also called the ratio of two numbers.

The ratio represents the relationship between two numbers that are divided.

It's a ratio. In the ratio of two numbers, the number before the ratio sign is called the antecedent term of the ratio, and the number after the ratio sign is called the posterior term of the ratio. The quotient obtained by dividing the previous term by the latter term is called the ratio. Ratios are usually expressed as fractions but can also be expressed as decimals or integers.

Depending on the relationship between fractions and division, the ratio of two numbers can also be written as fractions. The preceding term of the ratio is equivalent to the dividend in the division equation, the latter term of the ratio is equivalent to the divisor in the division equation, and the ratio is equivalent to the quotient in the division equation. The latter term of the ratio cannot be 0.

than the basic properties:

Ratios are related to division and fractions, so the basic properties of ratios are related to the invariant properties of quotients and the basic properties of fractions.

The invariant nature of the quotient:

The dividend and the divisor are multiplied or divided by the same number at the same time (except 0), and the quotient does not change.

Basic Properties of Fractions:

The numerator and denominator of the fraction are multiplied or divided by the same number at the same time, and the fractional value remains the same. ）

The preceding and subsequent terms of the ratio are multiplied or divided by the same number at the same time (except 0), and the ratio remains unchanged. This is called the basic property of the ratio.

Simplification ratio: According to the basic nature of ratios, ratios can be reduced to the simplest integer ratios.

Whether it's a decimal ratio, an integer ratio, or a fractional ratio, you have to turn them into integer ratios and then simplify them.

2. Proportion. The meaning of proportion: the formula that indicates that two ratios are equal is called proportion.

The four numbers that make up the proportions are called proportional terms. The two terms at both ends are called the outer terms of the proportion, and the two terms in the middle are called the inner terms of the proportion.

Basic properties of proportions:

In the scale, the product of the two outer terms is equal to the product of the two inner terms. This is called the basic property of proportion.

Solving Proportions: According to the basic nature of proportions, if any three of the proportions are known, another unknown term in the ratio can be found. Finding the unknown term in the scale is called solving the proportion.

3. Positive and inverse proportionality.

Proportional Significance:

If the ratio of the two corresponding numbers in these two quantities is constant, these two quantities are called proportional quantities, and their relationship is called proportional relations.

y x=k (definitely).

The meaning of inverse proportionality:

If the product of the two corresponding numbers in these two quantities is constant, these two quantities are called inversely proportional quantities, and their relationship is called inversely proportional relations.

xy=k (definitely).

4. Scale bar.

When drawing maps and other plans, you need to reduce (or expand) the actual distance by a certain ratio, and then draw it on the drawing. In this case, it is necessary to determine the ratio of the distance on the graph to the corresponding actual distance.

The ratio of the distance on the graph to the actual distance of a graph is called the scale of the diagram.

Distance on the map: actual distance = scale bar (note: the unit of distance and actual distance on the map must be unified).

Distance on the graph = scale bar actual distance.

Actual distance = distance on the graph scale.

There are two types of scales: numerical scale and line segment scale.

The ratio in mathematics represents the multiplier relationship of two numbers.

The ratio is a division formula consisting of a preceding term and a posting term, except that the " "division sign" is changed to ":" ratio sign), but the division equation represents an operation, and the ratio represents the relationship between two numbers. It is similar to the cut-off score for fractions.

To give an example, for example, 6 to 4 is written as a ratio to 6:4. “:

It is a match sign, which is pronounced "than". The number before the ratio sign is called the preceding term of the ratio, and the number after the ratio sign is called the posterior term of the ratio. In this example, 6 is the first term of the ratio, and 4 is the second term of the ratio.

The ratio can also be written as a fraction as 6 4 and read as six to four.

The number obtained by dividing the previous term of the ratio by the previous term is called the ratio. Ratios can be expressed as fractions or as decimals or integers.

For example: the ratio of 1:3 = 1 3 = 1 3; 1 3 is also a way of writing, which is read as one to three when compared and one-third when doing fractions.

Two ratios with equal ratios can form a ratio, which is connected by a = sign, and when the denominator in the ratio is 1, it can be written as an integer.

For example: 50:25=2 or 2 1 or 2

According to the meaning of the textbook: the division of two numbers is called the ratio of two numbers.

Xiao Ming reads a book, and the ratio of pages read to the last read is 1:5If you read another 30 pages, the ratio of the number of pages read to the last read is 3:5How many pages are in the book?

The ratio in mathematics indicates the relationship between two numbers.

The division of two numbers is called the ratio of these two numbers.

The ratio is a division formula composed of a former term and a subsequent term, and the division sign is changed to a ratio sign, but the division formula represents an operation, and the ratio represents the relationship between two numbers.

The number obtained by dividing the first term of the ratio by the latter term of the comparison is called the ratio. The ratio can be expressed as a fraction or as a decimal or integer.

Basic properties: 1The preceding and posterior terms of the ratio are multiplied or divided by the same number at the same time, and the ratio remains unchanged;

2. The former term and the latter term of the simplest ratio are coexistent, and the first and last terms of the ratio are integers;

3. The ratio is usually expressed as an integer, but it can also be expressed as a fraction or a decimal;

4. The latter term of the ratio cannot be 0;

5. The latter term of the ratio is multiplied by the previous term of the ratio equal to the ratio;

6. The previous term of the ratio is divided by the latter term to equal the ratio.

The ratio is a division formula consisting of a preceding term and a posterior term, and the division sign is changed to a coincidental ratio, but the division equation represents an operation, while the ratio represents the relationship between two numbers.

The number obtained by dividing the first term of the ratio by the second term of the ratio is called the ratio. Ratios can be expressed as fractions or as decimals or integers.

Basic properties: 1The preceding and posterior terms of the ratio are multiplied or divided by the same number at the same time, and the ratio remains unchanged;

2. The first guess seepage term and the latter term of the simplest ratio are coexistent, and the first and last terms of the ratio are integers;

3. The ratio is usually expressed by the integer Xiaozhaoshan, and can also be expressed as a fraction or decimal;

4. The latter term of the ratio cannot be 0;

5. The latter term of the ratio is multiplied by the previous term of the ratio equal to the ratio;

6. The previous term of the ratio is divided by the latter term to equal the ratio.