115 LearnersLast updated on May 26th, 2025
Square of -32
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of -32.
What is the Square of -32
The square of a number is the product of the number itself. The square of -32 is -32 × -32. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-32)², where -32 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 -32 is -32 × -32 = 1024.
Square of -32 in exponential form: (-32)²
Square of -32 in arithmetic form: -32 × -32
How to Calculate the Value of Square of -32
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 -32.
Step 1: Identify the number. Here, the number is -32.
Step 2: Multiplying the number by itself, we get, -32 × -32 = 1024.
The square of -32 is 1024.
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 -32 So: (-32)² = -32 × -32 = 1024
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 -32.
Step 1: Enter the number in the calculator Enter -32 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -32 × -32
Step 3: Press the equal to button to find the answer Here, the square of -32 is 1024.
Tips and Tricks for the Square of -32: 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 -32
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 swap 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 -32
Problem 1
A rectangular plot has a length of -32 meters, and its width is the same. Find the area of the plot.
The area of a rectangle = length × width
So, the area of the plot = -32 × -32 = 1024 m².
Explanation
The area of the plot is 1024 m².
The area is calculated using the formula for the area of a rectangle, length × width, which results in 1024 m².
Problem 2
A negative temperature has dropped to -32 degrees two days in a row. What is the square of this temperature drop?
The temperature drop is -32 degrees.
The square of the temperature drop = (-32)² = 1024.
Explanation
The square of the temperature drop is found by squaring the temperature value, which results in 1024.
Problem 3
An experimental setup records a voltage of -32 volts twice. What is the square of this voltage?
The square of the voltage = (-32)² = 1024 V².
Explanation
The square of the voltage is calculated by multiplying the voltage by itself, resulting in 1024 V².
Problem 4
A side of a square measures -32 cm. Calculate the perimeter of the square.
The perimeter of the square is 128 cm.
Explanation
The perimeter of a square = 4 × side
Here, the side length is -32 cm, but we consider the absolute value for perimeter calculation.
Perimeter = 4 × 32 = 128 cm.
Problem 5
Find the square of -33.
The square of -33 is 1089.
Explanation
The square of -33 is found by multiplying -33 by itself: -33 × -33 = 1089.
FAQs on Square of -32
1.What is the square of -32?
2.What is the square root of -32?
3.Is -32 a perfect square?
4.Can a negative number have a real square root?
5.What is the square of 36?
Important Glossaries for Square of -32.
- Square: The result of multiplying a number by itself.
- Imaginary Number: A number that when squared gives a negative result. For example, i, where i² = -1.
- Exponent: A mathematical notation indicating the number of times a base is multiplied by itself.
- Perfect Square: A number that is the square of an integer.
- Perimeter: The total length around a two-dimensional shape.
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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.
