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Computation is one of the most important aspects of mathematics and an important foundation for students to learn mathematics and other subjects. Simple calculation accounts for a considerable part of the calculation problems in primary schools, and it is also a knowledge point that students are easy to confuse and make mistakes.
Before the revision of the textbook, the calculation questions would clearly require the use of simple methods, and some questions could not be seen at a glance, and students might dig out their minds to find easy methods; After the revision of the textbook, it is to integrate simple calculation into the calculation problems, requiring the ability to use simple calculation to calculate with simple methods, which puts forward a new test for students, some questions can not be calculated with simple methods at a glance, students do not use simple methods to calculate, even if the number is correct, the teacher will give you a mistake.
Here are some simple calculations of several arithmetic laws that you need to master in elementary school:
1. The law of addition and associativity:
Add three numbers, add the first two numbers first, then add the third number, or add the last two numbers first, and then add the first number, and the sum is unchanged. It is represented by letters: (a+b)+c=a+(b+c).
2. The commutative law of addition:
Add two numbers, swap the position of the additive, and the unchanged. Represented by letters: a+b+c=a+c+b
Integer: 42+36+58 Observe this problem, you will find that 42 and 58 can make up an integer hundred, according to the order of operation, 42 and 36 should be calculated first, so you can exchange 58 and 36, or exchange 42 and 36, you can write 42+58+36 or 36+(42+58).
3. The law of multiplication and combination:
Multiply three numbers, multiply the first two numbers first, and then multiply the third number, or multiply the last two numbers first, and then multiply the first number, and the product remains the same. It is represented by letters: (a+b)+c=a+(b+c).
Integer: 47 25 4 In multiplication, 25 and 4 are good friends, 125 and 8 are good friends, and the product of their combination and multiplication is an integer, so in multiplication, as long as you see 25 and 125, you should associate 4 and 8. Can be written as 47 (25 4).
4. The commutative law of multiplication:
The two numbers are multiplied together, and the position of the multiplier is exchanged, and the product remains unchanged. Represented by letters: a b = b a
Integer: 25 37 4 Because 4 and 25 are combined and multiplied to give an integer hundred, 37 and 4 can be exchanged, or 25 and 37 can be exchanged as 25 4 37 or 37 (25 4).
5. Multiplicative distributive law:
Multiplying two numbers by the same number is equivalent to multiplying the two additive numbers with this number, and then adding up the two products, and the result remains the same. A (b+c) = ab+ac is represented by letters
Although the multiplicative distributive law is just this one law, it has many variations, and all deformations are inseparable from the fundamental principle of a (b+c)=ab+ac, and it is important to understand and master its variations.
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This problem requires the application of a definition, which is the multiplicative distributive law. The multiplicative distributive property is that the sum or difference of two numbers is multiplied by a number, and they can be multiplied by each number and then added. Represented by letters, it can be:
a+b) c=a c+b c or a c+b c=(a+b) c, where the plus sign can become a minus sign and the equation still holds.
48x25(40+8)x25
40x25+8x25
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The answer to this question is correct, and he should write it this way.
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Simple arithmetic, 48 25 = 12 4 25 = 12 100 = 1200.
Happy learning!
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Using 25 4 = 100, 12 4 25 is calculated off-form, which is equal to 12 100.
Equal to 1200.
48 25 is equal to 1200
The same goes for 125 8.
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Its easy calculation is 4ox25 ten 8x25 two 1ooo ten 2ooo two 12oo
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Hello, this question is currently analyzed, and it can be seen that there is a common factor term here, which is 47, so extract the common factor, the original formula 47 (56+44) 47 100 4700, so to sum up, you can know that the answer to this question is 4700.
This question tells us that when encountering a similar problem, we must first extract the common factors and then merge the similar terms to calculate the correct answer.
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Summary. 43x57+57x43 can simplify the calculation by factoring: First, split one of the numbers:
43x57 = 40+3) x 57 = 40x57 + 3x57 Then, split another number: 57x43 = 50+7) x 43 = 50x43 + 7x43 Now, add them up: 43x57 + 57x43 = 40x57 + 3x57) +50x43 + 7x43) = 40x57 + 50x43 + 3x57 + 7x43 = (40+50)x57 + 3+7)x43= 90x57++ The 10x43 final result is 4830.
43x57+57x43 for easy calculation.
43x57+57x43 can be bent to simplify the calculation by factoring: First, split one of the numbers: buried pure 43x57 = 40+3) x 57 = 40x57 + 3x57 Then, split the other number:
57x43 = 50+7) x 43 = 50x43 + 7x43 Now, add them up: 43x57 + 57x43 = 40x57 + 3x57) +50x43 + 7x43) = 40x57 + 50x43 + 3x57 + 7x43 = (40+50)x57 + 3+7)x43= 90x57 + 10x43 The final result is 4830.
The easiest way to calculate 43x57+57x43 is to use the multiplicative distribution law hail withering: Yuannadong 43x57 + 57x43 = 43x(50+7) +57x(40+3) = 43x50 + 43x7) +57x40 + 57x3) = 2150 + 301 + 2280 + 171 = 4902
The easiest calculation of 43x57+57x43 is 4902.
Sorry that the first answer is incorrect.
Easy to calculate. Pro, analysis: the multiplication of the distributive law of the collapse is:
If you multiply the sum of two round numbers by one number, you can multiply them by this number separately and add them Fill in the blanks accordingly Answer: Solution: 43 57+43 43=43 (57+43) This is the application of the multiplicative distributive law So the answer is:
Multiplicative distributive property
43 The easiest calculation is to use the multiplicative distributive property:
Pro, simple calculations are made using the multiplicative distributive property.
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43 57 + 57 43 and so on in 4902, easy calculation of the process of Brother Hui:
Math Easy Calculation Method:
1. Simple calculation using the multiplicative distributive law. >>>More
Analysis: This problem uses the commutative associative law of addition, and then calculates it after rounding. The steps are as follows: >>>More
Hello, see the following ** question process:
Off-line calculations (
Solution: Four rules of operation (calculated in order, multiplication and division first, then addition and subtraction, parentheses are counted first, and power is calculated first), that is, the off-form operation (recursive equality calculation) needs to be carried out under the premise of this principle. Problem solving process: >>>More
The calculation process for this question is as follows. Original