125 LearnersLast updated on May 26th, 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 the 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 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 (-23)², 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: (-23)²
Square of -23 in arithmetic form: -23 × -23
How to Calculate the Value of Square of -23
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the 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 will 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: Multiplying the number by itself, we get, -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: Identifying the number and substituting the value in the equation. Here, ‘a’ is -23 So: (-23)² = -23 × -23 = 529
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn 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 to 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 it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. 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.
Solved Examples on Square of -23
Problem 1
A rectangular field has a length of 23 meters and a width that is the square of -23. What is the area of the field?
The area of a rectangle = length × width
Length = 23 meters
Width = square of -23 = 529 meters
Area = 23 × 529 = 12,167 square meters
Explanation
The width of the field is the square of -23, which is 529 meters. Multiplying the length by the width gives the area, which is 12,167 square meters.
Problem 2
A car travels a distance equal to the square of -23 kilometers in 2 hours. What is the average speed of the car?
Distance traveled = square of -23 km = 529 km
Time = 2 hours
Average speed = distance/time = 529 km / 2 hours = 264.5 km/h
Explanation
The car travels 529 kilometers in 2 hours, resulting in an average speed of 264.5 km/h.
Problem 3
A circular garden has a radius that is the square of -23. Find the circumference of the garden.
The radius of the garden = 529 meters
Circumference of the circle = 2πr
Circumference = 2 × 3.14 × 529 = 3,322.12 meters
Explanation
The radius is 529 meters, and using the formula for circumference, 2πr, the circumference is calculated as 3,322.12 meters.
Problem 4
The area of a square plot is 529 square meters. Find the length of each side of the plot.
The area of the square = a²
So, the area is 529 square meters
The length of each side = √529 = 23 meters
Explanation
Since the area of the square is 529 square meters, taking the square root gives each side as 23 meters.
Problem 5
Find the square of -24.
The square of -24 is 576
Explanation
The square of -24 is 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 529?
3.Is -23 a prime number?
4.What is the square of 22?
5.What are the first few multiples of -23?
Important Glossaries for Square -23.
- Prime number: A positive integer greater than 1 with exactly two distinct positive divisors: 1 and itself.
- Exponential form: A way of writing numbers using a base and an exponent. For example, (-23)² where -23 is the base and 2 is the exponent.
- Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 529 is ±23.
- Perfect square: A number that is the square of an integer. For example, 529 is a perfect square because 23² = 529.
- Multiplication: A mathematical operation that combines groups of equal size; the repeated addition of the same number.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
