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Primary School Students 'Fourth-Grade Mathematics Key Knowledge

2026-10-15 21:04
2026-10-16 01:17

The following is a summary of the key knowledge of fourth grade mathematics: ** 1. Numbers and Calculation ** 1. ** Knowledge of large numbers (within 100 million)** - "Counting units: 100,000 (10,000), 1 million (10,000), 10 million (10,000,000), 100 million (10,000,000). - Number level: Four-digit grading method, individual level (one digit, ten digit, hundred digit, thousand digit), ten thousand level (ten thousand digit, hundred thousand digit, million digit, ten million digit), etc. - Number: The position occupied by a number when writing a number. The first digit from the right is a unit. - Natural number: A number used to measure the number of things or to indicate the order of things, an integral number starting from 0. 2. ** Calculation related ** - ** Order of Operations ** - If there was only addition and deduction or multiplication and division in an equation without parenthesis, the calculation would proceed from left to right. If there was both multiplication and division, the calculation would proceed first before the calculation. - When there were parenthesis in an equation, the ones in the parenthesis would be calculated first. The parenthesis would be calculated from small to large. If there were exponentiations, the exponentiation would be calculated first, and then the high-level to low-level operations would be performed. - ** Laws of Operations ** - ** Association law of addition **: When adding three numbers, add the first two numbers first, or add the last two numbers first, and the sum does not change. The formula is a + b+c=a+(b + c)=(a + c)+b. - ** Commutative law of addition **: The position of the addend of two numbers added and exchanged, and the sum does not change. The formula is a + b=b + a. - ** Simple calculation ** - Move with symbols (For operations of the same level, numbers can move with symbols). - Split method (such as splitting a number into factors that are easy to calculate to find common factors for simple calculation). ** 2. Geometries ** 1. ** Ray, Line, Line ** - [Ray: There is only one end point, and it extends infinitely from one end point to the other. It is immeasurable.] - [Straight line: The trajectory of a point moving in the same or opposite direction in space. There is no end point and can be extended indefinitely. There is no concept of distance.] - Line segment: There are two ends, a limited length, and can be measured. The line segment between the two points is the shortest, and the length of the line segment connecting the two points is called the distance between the two points. 2. ** Horn ** - The definition of a horn: - The static state was defined as a graph composed of two rays that did not overlap with a common end point. The common end point was the apex, and the two rays were the edges. - Dynamic was defined as a graph formed by a ray rotating around its end point from one position to another. The end point of the rotating ray was the apex, the ray at the beginning position was the starting edge, and the ray at the ending position was the final edge. - There were many types of angles, such as acute angle (greater than 0^{\circ} and less than 90^{\circ}), right angle (equal to 90^{\circ}), and so on. The size of the angle had nothing to do with the length of the edge. It depended on the degree of the edge opening or the direction and angle of rotation. 3. ** Triangle ** - [Physical characteristics: - They were classified by angle: acute triangle, right triangle, and obtuse triangle. - According to the length of the side, it was categorized into isosceles-shaped triangle, three-sided isosceles-shaped triangle, and equal-shaped triangle. The sum of the angles of a triangle is 180^{\circ}. ** 3. Decimals ** 1. Decimals were another form of the decimal system. 2. The unit of measurement for decimals is one-tenth (written as 0.1), one-hundredth (written as 0.01), one-thousandth (written as 0.001), etc. The rate of progression for every two adjacent units is 10. 3. The property of decimals: The size of the decimals will not change if you add or subtract 0 at the end, but the size will change if you remove the 0 in the middle. 4. The reading and writing method of the decimal point and the change law of the decimal point: If the decimal point is moved to the right by one place, the decimal point will be expanded to the original number of 10 times; if it is moved by two places, the decimal point will be expanded to the original number of 100 times; if it is moved by three places, the decimal point will be expanded to the original number of 1000 times. Read more exciting novels for free

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2026-10-17 22:32

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2026-10-17 22:32

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2026-10-17 22:32

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2026-10-17 22:32

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2026-10-17 22:32

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2026-10-17 22:30

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2026-10-17 22:30

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2026-10-17 22:30
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