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Mathematical problems and concepts
1.

1 hour =60 minutes, so a day is 1440 minutes.

42574/ 1440=29 Yu 8 14

8 14/60= 13 Yu 34

So the moon goes around the earth for 29 days, 13 hours and 34 minutes.

Connection: Ratio and proportion are closely related.

The ratio studies the relationship between two quantities, so it has two items; Proportion is to study the relationship between two sets of corresponding figures in two related quantities, so the proportion consists of four items.

Proportion is made up of ratios. If there is no ratio between two quantities, the ratio does not exist. Proportion is the development of ratio. If the ratio on the right side of the ratio formula is regarded as a number, the ratio and ratio can be unified at this time.

If two ratios are equal, then these two ratios can form a proportion. The ratio of the two proportions must be equal.

Difference: The difference between ratio and proportion is explained in the table.

The combination of meaning and form

Ratio means that the ratio of dividing two numbers consists of two items (the first item and the last item), and any two numbers can form a ratio.

Proportion means that two proportions are equal. Proportion consists of four items (two internal items and two external items). Any four numbers do not necessarily constitute a proportion.

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2.

The same is true of pure mathematics. But each has its own function. For example, in the basketball game at 88:88, no one will say that the score is 1. It is also said that the side length ratio is 1:2 and 0.5 times, but it is actually the same. Fractions are used for accurate expression, 2/3. You can't write the final answer as 2 divided by 3. Fractions can be said to be data, but division symbols represent formulas. There is not much difference between the two.

3. Using the basic properties of ratio, the ratio can be transformed into the simplest integer ratio.

The basic properties of proportion are helpful to find out the unknowns in proportion more quickly.

4. The changing law of two related quantities is in direct proportion: expanding at the same time and contracting at the same time, and the ratio remains unchanged.

Examples of positive proportions:

The perimeter and side length of a square.

The circumference and diameter of a circle

Area/width = length

Triangle: 1/2ab=s

It's all about repairing one and changing another.

If the type is aX=Y, a is constant and XY is proportional.

In inverse proportion, two related quantities, one of which changes and the other changes, the product of the corresponding two numbers in these two quantities is certain. These two quantities are called inverse proportional quantities. Their relationship is called inverse relationship. It is expressed by x×y=k (certain).

Inverse ratio in life

1. 100 meter race, the distance is 100 meter, and the speed and time are inversely proportional;

2. Queue for exercises, the total number of people is unchanged, and the number of people in line is inversely proportional to the number of people in each row;

3. The total number of cartons is fixed, and the number of cartons made by each person is inversely proportional to the number of people;

4. When buying things (actually using stationery), the total amount of money is certain, and its unit price is inversely proportional to the quantity;

5. The area of a rectangle is constant, and its length and width are inversely proportional;

6. A cuboid has a certain volume, and its bottom area is inversely proportional to its height.

7. Divide a piece of cake equally, and the cake each person gets is inversely proportional to the number of people.

The total price is fixed, and the unit price is inversely proportional to the quantity.

9. A cuboid has a certain volume, and its bottom area is inversely proportional to its height.

10. The total number of cartons is fixed, and the number made by each person is inversely proportional to the number of people.

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Inverse ratio /view/9 13634.html? wtp=tt

Thank you!