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What is square in math?
What is square in math?
In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9.
Why is it called a square?
Why is it called a square?
This sense of the word "square" originated with the American jazz community in the 1940s, in reference to people out of touch with musical trends. Older senses of the term square referring positively to someone or something honest and upstanding date back to the 16th century.
- Basic Rules
Multiply the single digit number by itself. Write down the number you want to square. Remember that when you're squaring a number, you multiply it by the same number, not 2.
For example,
52 is not 5 x 2 = 10. Instead, it's 5 x 5 = 25.
2. Duplex Combination Process:
2. Duplex Combination Process:
The first one is by squaring; and the second one is by cross- multiplication. In the present context, it is used in both senses (a2 and 2ab). In the case of a single central digit, the square is meant; and in the case of an even number of digits equidistant from the two ends, double the cross-product is meant. A few examples will elucidate the procedure.
If you have understood the duplex method and its use in squaring, you may get the answer in a line. For example:= 207 2 = 4228449.
Explanations. 1:
Duplex of 7 is 72 = 49. Put the unit digit (9) of duplex in answer line and carry over the other (4).
2. 2 X 0 X 7 + 4(carried) = 4; write it down at 2nd position.
3. 2 X 2 x7 + 02= 28; write down 8 and carry over 2.
4. 2 X 2 X 0 + 2(carried) = 2; write it down
5. 22 = 4; write it down.
Note:
(1) If there are n digits in a number, the square will have either 2n or 2n-l digits.
(2) Participation of digits follows the same systematic pattern as in multiplication.
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