Square
The square of a number is the product of the number with the number itself.
For a given number x, the square of x is (x × x), denoted by x².
For example:
● 2² = (2 × 2) = 4 and we say that the square of 2 is 4.
● 3² = (3 × 3) = 9 and we say that the square of 3 is 9.
● 4² = (4 × 4) = 16 and we say that the square of 4 is 16.
● 5² = (5 × 5) = 25 and we say that the square of 5 is 25.
● 6² = (6 × 6) = 36 and we say that the square of 6 is 36.
● 7² = (7 × 7) = 49 and we say that the square of 7 is 49.
● 8² = (8 × 8) = 64 and we say that the square of 8 is 64.
● 9² = (9 × 9) = 81 and we say that the square of 9 is 81.
● 10² = (10 × 10) = 100 and we say that the square of 10 is 100.
● 11² = (11 × 11) = 121 and we say that the square of 11 is 121.
● 12² = (12 × 12) = 144 and we say that the square of 12 is 144.
● 13² = (13 × 13) = 169 and we say that the square of 13 is 169.
● 14² = (14 × 14) = 196 and we say that the square of 14 is 196.
● 15² = (15 × 15) = 225 and we say that the square of 15 is 225.
Note:
The square of a negative number is always positive.
● (-2)² = ((-2) × (-2)) = 4 and we say that the square of (-2) is 4.
● (-3)² = ((-3) × (-3)) = 9 and we say that the square of (-3) is 9.
● (-4)² = ((-4) × (-4)) = 16 and we say that the square of (-4) is 16.
● (-5)² = ((-5) × (-5)) = 25 and we say that the square of (-5) is 25.
● (-6)² = ((-6) × (-6)) = 36 and we say that the square of (-6) is 36.
● (-7)² = ((-7) × (-7)) = 49 and we say that the square of (-7) is 49.
● (-8)² = ((-8) × (-8)) = 64 and we say that the square of (-8) is 64.
● (-9)² = ((-9) × (-9)) = 81 and we say that the square of (-9) is 81.
● (-10)² = ((-10) × (-10)) = 100 and we say that the square of (-10) is 100.
● (-11)² = ((-11) × (-11)) = 121 and we say that the square of (-11) is 121.
● (-12)² = ((-12) × (-12)) = 144 and we say that the square of (-12) is 144.
● (-13)² = ((-13) × (-13)) = 169 and we say that the square of (-13) is 169.
● (-14)² = ((-14) × (-14)) = 196 and we say that the square of (-14) is 196.
● (-15)² = ((-15) × (-15)) = 225 and we say that the square of (-15) is 225.
What is called the square of a number?
When a number is multiplied by itself, the product obtained is called the square of a number. Thus, the number with exponent 2 is called the square number.
For example:
2/7 × 2/7 = (2/7)² = ⁴ /₄₉
Here ⁴ /₄₉ is the square of ² /₇.
0.1 × 0.1 = (0.1)² = 0.01
Here 0.01 is the square of 0.1.
● Square
Perfect Square or Square Number
● Square - Worksheets
8th Grade Math Practice
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