Properties of Square Numbers Square numbers are whole numbers that are the squares of natural numbers. They are often expressed as n², where n is a natural...
Properties of Square Numbers
Square numbers are whole numbers that are the squares of natural numbers. They are often expressed as n², where n is a natural number.
Properties of Square Numbers:
Closure: The square of any number is a natural number.
Identity property: The square of a number is equal to itself.
Division property: If a and b are natural numbers, then a² / b² = a/b.
Sum property: The square of a sum of two natural numbers is equal to the square of the sum of the two natural numbers.
Difference property: The square of a difference of two natural numbers is equal to the square of the larger number minus the square of the smaller number.
Examples:
4² = 16
9² = 81
12² = 144
16² = 256
25² - 16² = 64