Final answer:
To show 144 is a square number, one can write the division statement 144 ÷ 12 = 12, as 12 squared equals 144, demonstrating it is a perfect square.
Step-by-step explanation:
To write a division statement that shows that 144 is a square number, you would show that 144 can be divided by a number that equals itself when squared. In this case, 12 × 12 equals 144. Therefore, the division statement can be written as 144 ÷ 12 = 12. This equation demonstrates that 144 is the result of squaring the number 12, confirming that 144 is indeed a square number.
Understanding mathematical operations like exponentiation is important to solving this type of problem. Integer powers involve raising a number to the power of an integer, such as 4³ being shorthand for multiplying 4 by itself three times (4 × 4 × 4). Similarly, 12² means 12 × 12, which equals 144. The concept of perfect squares is well-defined and calculators handle these calculations seamlessly.