Table of Contents
What is a Square Number?
A square number is a number that is the result of multiplying a number by itself. For example, the square number of 9 is 9×9=81.
Squaring Decimals
When squaring a decimal number, the process is the same as squaring a whole number. In other words, the decimal number is multiplied by itself (the number itself is multiplied by itself), and the answer is then written as a decimal number.
For example, to square the number .625, the process would be:
625 × .625 = .390625
There are a few methods that can be used to square decimals.
- The first method is to use a calculator. To square a decimal using a calculator, simply enter the decimal and press the square root button. For example, if the decimal is .5, press the square root button and the answer will be 2.25.
- The second method is to use long division. To square a decimal using long division, divide the decimal by itself. For example, if the decimal is .5, divide .5 by .5 and the answer will be 2.25.
- The third method is to use the square root function on a calculator. To square a decimal using the square root function, enter the decimal and press the square root button. For example, if the decimal is .5, press the square root button and the answer will be 2.25.
Properties of Square Number
A square number is a number that can be represented as the product of two equal consecutive integers. That is, a square number is the result of multiplying two consecutive whole numbers together. For example, 4 is a square number because it is the product of 2 and 2. 9 is also a square number because it is the product of 3 and 3.
The square of a number is the result of multiplying that number by itself. So, the square of 4 is 16, because 4 multiplied by 4 is 16. The square of 9 is 81, because 9 multiplied by 9 is 81.
There are several interesting properties of square numbers that can be observed.
• The sum of the squares of the first n whole numbers is n squared. For example, the sum of the squares of the first 5 whole numbers is 25 (1 + 4 + 9 + 16 + 25 = 25²).
• The difference of two square numbers is also a square number. For example, the difference of 9 and 16 is 7, and 7² = 49.
• If two square numbers are multiplied together, the result is also a square number. For example, 9 × 9 = 81, and 81² = 6561.
• A square number is always an even number.
• If a square number is divided by 2, the result is always a whole number. For example, 16 ÷ 2 = 8, and 8 is a whole number.
square number, properties, consecutive integers, product, multiplication, sum, difference, even number, divide, whole number
