127 LearnersLast updated on June 3rd, 2025
Square of 23
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 23.
What is the Square of 23
The square of a number is the product of the number with itself. The square of 23 is 23 × 23. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 23², where 23 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.
For example, 5² = 25; (-5)² = 25.
The square of 23 is 23 × 23 = 529.
Square of 23 in exponential form: 23²
Square of 23 in arithmetic form: 23 × 23
How to Calculate the Value of Square of 23
The square of a number is obtained by multiplying the number by itself. Here are common methods used to find the square of a number.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 23.
Step 1: Identify the number. Here, the number is 23.
Step 2: Multiply the number by itself. 23 × 23 = 529.
The square of 23 is 529.
Using a Formula (a²)
In this method, the formula a² is used to find the square of the number, where a is the number.
Step 1: Understanding the equation
Square of a number = a²
a² = a × a
Step 2: Identify the number and substitute the value in the equation.
Here, ‘a’ is 23.
So: 23² = 23 × 23 = 529
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Here’s how to use a calculator to find the square of 23.
Step 1: Enter the number in the calculator. Enter 23 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 23 × 23
Step 3: Press the equal button to find the answer. Here, the square of 23 is 529.
Tips and Tricks for the Square of 23
Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 23
Mistakes are common among kids when doing math, especially when finding the square of a number. Let’s learn some common mistakes to master squaring a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip steps or swap digits. To avoid this, students should double-check their answers. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 23² with (2 + 3)² or (20 + 3)². Students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing squares and square roots.
Not understanding the concept of squares and square roots can lead to confusion. To avoid this, students should understand that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring parentheses when finding the square of a number can lead to errors. Students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 23
Problem 1
Find the length of a square where the area of the square is 529 cm².
The area of a square = a²
So, the area of the square = 529 cm²
So, the length = √529 = 23.
The length of each side = 23 cm
Explanation
The length of a square is 23 cm because the area is 529 cm², and the length is √529 = 23.
Problem 2
Sarah is planning to tile her square kitchen floor of length 23 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 23 feet
The cost to tile 1 square foot of the floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 23
Therefore, the area of the floor = 23² = 23 × 23 = 529.
The cost to tile the floor = 529 × 5 = 2645.
The total cost = 2645 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2645 dollars.
Problem 3
Find the area of a circle whose radius is 23 meters.
The area of the circle = 1,661.06 m²
Explanation
The area of a circle = πr²
Here, r = 23
Therefore, the area of the circle = π × 23²
= 3.14 × 23 × 23
= 1661.06 m².
Problem 4
The area of the square is 529 cm². Find the perimeter of the square.
The perimeter of the square is 92 cm.
Explanation
The area of the square = a²
Here, the area is 529 cm²
The length of the side is √529 = 23
Perimeter of the square = 4a
Here, a = 23
Therefore, the perimeter = 4 × 23 = 92.
Problem 5
Find the square of 24.
The square of 24 is 576.
Explanation
The square of 24 is obtained by multiplying 24 by 24.
So, the square = 24 × 24 = 576.
FAQs on Square of 23
1.What is the square of 23?
2.What is the square root of 23?
3.Is 23 a prime number?
4.What are the first few multiples of 23?
5.What is the square of 22?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 23?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 23?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square of 23.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23.
- Exponential form: A way of expressing a number as a base raised to a power. For example, 9², where 9 is the base and 2 is the power.
- Square: The product of a number multiplied by itself. For example, 3² = 9.
- Square root: The inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √49 = 7.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
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