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Elementary school fourth-grade mathematics hand-copied report operation law

2026-10-13 19:40
2026-10-13 20:47

The following are some suggestions for the content of the fourth-grade mathematical operation law manuscript: ** The first and fourth operation order section ** 1. ** Parenthesis-less formula ** - In an equation without parenthesis, when it came to addition, multiplication, and division, the order of operation was to calculate multiplication and division first, then addition and addition. For example, to calculate $96 div12 + 4×2$, one would first divide $96 div12 = 8$and multiply $4×2 = 8$, then add $8+8 = 16$. 2. ** Parenthesized formula ** - ** Parentheses **: The order of mixed operations with parenthesis is to calculate the ones inside the parenthesis first, then the ones outside the parenthesis. For example,$96 × (12 + 4)×2$, add $12 + 4=16$, then divide $96 × 16 = 6$, and finally multiply $6×2 = 12$. - ** Square Parentheses **: The order of mixed operations with square parenthesis is to first calculate the ones inside the small parenthesis, then calculate the ones inside the square parenthesis, and finally calculate the ones outside the square parenthesis. For example,$96 × [(12 + 4)×2]$, the addition in the small parenthesis was $16$, then the multiplication in the square parenthesis was $16×2 = 32$, and finally the division was $96 × 32 = 3$. As the number of steps increased, it was possible to use curly brace. The order of operation was small brace first, then middle brace, and finally curly brace. ** 2. The addition operation rule section ** 1. ** Commutative law of addition ** - It was defined as two addenda exchanging positions, and the sum did not change. It was expressed in letters as $a + b=b + a$. For example,$348+76 = 76+348$. 2. ** Association of addition ** - The definition was to add the first two numbers, or add the last two numbers, and the sum would not change. The letters are represented as $(a + b)+c=a+(b + c)$. For example,$(235 + 456)+44$, you can first calculate $456 + 44 = 500$, and then add $235$, which is $456+44+235$, or you can write $235+(456 + 44)$. For $168 + 48+32 + 52$, you can use the law of addition to make up a hundred. First, calculate $168+32 = 200$and $48 + 52 = 100$, and then add the sum of the two numbers, which is $(168+32)+(48 + 52)$. ** 3. Subtraction section ** 1. ** Subtraction operation property 1 ** - If a number was continuously reduced by two numbers, then the positions of the latter two deductions could be swapped. The letters are represented as $a-b- c= a-c- b$. For example,$786 - 78 - 86 = 786 - 86 - 78$. 2. ** Subtraction operation property 2 ** - If two numbers were deducted from a number, it was equivalent to deducting the sum of the two numbers from the number. The letters are represented as $a - b - c=a-(b + c)$. For example,$896 - 64 - 36 = 896-(64 + 36)$. ** 4. Multiplication Rule Section ** 1. ** Commutative law of multiplication ** - The positions of the two factors were swapped, and the product remained unchanged. It is expressed in letters as $a×b = b×a$. For example,$53×42 = 42×53$. 2. ** Combination of multiplication ** - Multiply the first two numbers, or multiply the last two numbers, the product remains the same. The letters are expressed as $(a×b)×c=a×(b×c)$. For example,$56×5×2$could be calculated as $5×2 = 10$, then multiplied by $56$, which was $5×2×56$or $56×(5×2)$. For $125×4×25×8$, using the law of multiplication, first calculate $125×8 = 1000$and $25×4 = 100$, and then multiply the two products, that is,$(125×8)×(25×4)=100000$. 3. ** Multiplication distribution law ** - When the sum (minus) of two numbers was multiplied by a number, they could be multiplied by the number and then added (minus). For example, if you calculate $4752×286 - 4753×285$, turn $4752$into $4753 - 1$, and then calculate it according to the distribution law. He could also add some relevant practice questions or interesting mathematical knowledge to enrich the content. Read more exciting novels for free

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