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Here's how: Quick calculation of squares.
1. Find the square of 11 19.
The unit digit of the multiplier is added to the multiplier, and the number is the first product, and the unit digit of the two numbers is multiplied to obtain the second product, which is the first one of ten.
Example: 17 17
Two, 21 50 is squared by two digits.
When finding the square of two numbers between 25 and 50, it is simple to remember the square of 1 25, 11 19 refer to the first article, and the following four data should be kept in mind:
Find the square of the two digits of 25 50, subtract 25 from the base, and get the number as the front product, and the square of the difference obtained by subtracting the base number from 50 as the back product, full 100 into 1, and there is no ten digits to make up 0.
Example: 37 37
Appreciate it well, please go to the webpage to find a quick calculation for details. )
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1 square = 0 + 1 = 12 square = 1 square + 1 + 2 = 4
3 square = 2 square + 2 + 3 = 9
n square = (n-1) square + (n-1) + n
It is common within natural numbers.
Ways to find patterns:
1. Mark the serial number: the problem of finding the law usually gives a series of quantities in a certain order, requiring us to find the general law according to these known quantities. Find out the pattern, usually the package serial number.
Therefore, it is easier to find the mystery when you compare the variables and serial numbers together.
2. Fibonacci number sequence: Each number is the sum of the first two numbers.
3. Equal difference number series method: the difference between every two numbers is equal.
4. Jumping grid method: you can look at the interval to see what is the relationship between the separated numbers, such as 14,1,12,3,10,5, the odd number of terms into an equal difference series, and the even number of terms into an equal difference series, so you should fill in 8 next.
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The squared of 11 to 19 is calculated as:Nature
A square number.
are the number of two adjacent triangles.
The sum of the same. The sum of two adjacent square numbers is a central square number. All odd square numbers are also central octagon numbers.
The sum of four theorem states that all positive integers.
can be expressed as the sum of up to four square numbers. In particular, the sum of three square numbers cannot represent a number of the shape of 4k (8m + 7). A positive integer can mean that there is no prime number in the factor that looks like 4k + 3.
, it can be expressed as the sum of two square numbers.
The square number must not be a complete number.
The square of an odd number divided by 4 gives it a balance of 1, and the square of an even number is divisible by 4.
a²-b²=(a+b)(a-b)。
A square number is the sum of the numbers of two adjacent triangles. The sum of two adjacent square numbers is a central square number. All odd square numbers are also central octagon numbers.
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11 to 19Number of squaresAs follows:
Nature of the square number:
1. If the concept of square numbers is extended to rational numbers, then the ratio of two square numbers is still a square number.
2. An integer that does not have a square number other than 1 as its factor, then it is called a number without a square factor.
3. The four-square-sum theorem states that all positive integers.
The sum of up to four square numbers can be shown as scattered states. In particular, the sum of three square numbers cannot represent a number of the shape of 4k (8m + 7). A positive integer can mean that there is no prime number in the factor that looks like 4k + 3.
to the odd power, it can be expressed as the sum of two squares.
4. The square number must not be a complete number.
5. The square of the odd number is divided by 4 to balance 1, and the square of the even number is divisible by 4.
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11²=121 12²=144 13²=169 14²=196 15²=225 16²=256
I calculate it like this, for example, 19, 9 9 = 81, the single digit of 19 is 1, 1 9 = 9, 1 9 = 9, 9 + 9 = 18, 18 + 8 (8 on the 81 ten) = 26, the ten digit of 19 is 6, 1 1 = 1, 1 + 2 (the number 2 on the ten of 26) = 3, so 19 = 361
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The squared of 11 to 19 is calculated as:
11 squared = 121
12 squared = 144
13 of the sail seepage square = 169
14 squared = 196
15 squared = 225
16 squared = 256
17 squared = 289
18 squared = 324
19 squared = 361
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The squared of 11 to 19 is calculated as:
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The result of the squared loss count from 11 to 19 is:
11 squared = 121
12 squared = 144
13 squared = 169
14 squared = 196
15 squared = 225
16 squared = 256
17 Pingsheng Qingfang = 289
18 squared = 324
19 squared = 361
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Here's how: Quick calculation of squares.
Count the number and find the square of 11 19.
The unit digit of the multiplier is added to the multiplier, and the number is the first product, and the unit digit of the two numbers is multiplied to obtain the second product, which is the first one of ten.
Example: 17 17
Two, 21 50 is squared by two digits.
When finding the square of two numbers between 25 and 50, it is simple to remember the square of 1 25, 11 19 refer to the first article, and the following four data should be kept in mind:
Find the square of the two-digit ridge of 25 50, subtract 25 from the base, and get the number as the front product, and the square of the difference obtained by subtracting the base number from 50 as the back product, full 100 into 1, and there are no ten Sakura in the 0.
Example: 37 37
Appreciate it well, please go to the webpage to find a quick calculation for details. )
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11 to 29 squared.
Analysis: The square of 11 is 11 11 = 121;The square of 12 is 12 12 = 144;The square of 13 is 13 13 = 169;
The square of 14 is 14 14 = 196;The square of 15 is 15 15 = 225;The square of 16 is 16 16 = 256;
The square of 17 is 17 17 = 289;The square of 18 is 18 18 = 324;The square of 19 is 19 19 = 361;
The square of 20 is 20 20 = 400;The square of 21 is 21 21 = 441;The square of 22 is 22 22 = 484;
The square of 23 is 23 23 = 529;The square of 24 is 24 24 = 576;The square of 25 is 25 25 = 625;
The square of 26 is 26 26 = 676;The square of 27 is 27 27 = 729;The square of 28 is 28 28 = 784;
The square of 29 is 29 29 = 841.
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