122 LearnersLast updated on May 26th, 2025
Square of 152
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 152.
What is the Square of 152
The square of a number is the product of the number itself. The square of 152 is 152 × 152. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 152², where 152 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 152 is 152 × 152 = 23,104. Square of 152 in exponential form: 152² Square of 152 in arithmetic form: 152 × 152
How to Calculate the Value of Square of 152
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 152.
Step 1: Identify the number. Here, the number is 152.
Step 2: Multiplying the number by itself, we get, 152 × 152 = 23,104. The square of 152 is 23,104.
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 152. So: 152² = 152 × 152 = 23,104
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 152.
Step 1: Enter the number in the calculator Enter 152 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 152 × 152
Step 3: Press the equal to button to find the answer Here, the square of 152 is 23,104.
Tips and Tricks for the Square of 152 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 152
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.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 152² with (1+5+2)² or (150+2)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept 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 the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 152
Problem 1
Find the length of the square, where the area of the square is 23,104 cm².
The area of a square = a² So, the area of a square = 23,104 cm² So, the length = √23,104 = 152. The length of each side = 152 cm
Explanation
The length of a square is 152 cm.
Because the area is 23,104 cm², the length is √23,104 = 152.
Problem 2
Anna is planning to paint her square ceiling of length 152 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full ceiling?
The length of the ceiling = 152 feet The cost to paint 1 square foot of the ceiling = 5 dollars. To find the total cost to paint, we find the area of the ceiling, Area of the ceiling = area of the square = a² Here a = 152 Therefore, the area of the ceiling = 152² = 152 × 152 = 23,104. The cost to paint the ceiling = 23,104 × 5 = 115,520. The total cost = 115,520 dollars
Explanation
To find the cost to paint the ceiling, we multiply the area of the ceiling by the cost to paint per foot.
So, the total cost is 115,520 dollars.
Problem 3
Find the area of a circle whose radius is 152 meters.
The area of the circle = 72,389.76 m²
Explanation
The area of a circle = πr²
Here, r = 152
Therefore, the area of the circle = π × 152²
= 3.14 × 152 × 152
= 72,389.76 m².
Problem 4
The area of the square is 23,104 cm². Find the perimeter of the square.
The perimeter of the square is 608 cm.
Explanation
The area of the square = a²
Here, the area is 23,104 cm²
The length of the side is √23,104 = 152
Perimeter of the square = 4a
Here, a = 152
Therefore, the perimeter = 4 × 152 = 608.
Problem 5
Find the square of 153.
The square of 153 is 23,409.
Explanation
The square of 153 is multiplying 153 by 153.
So, the square = 153 × 153 = 23,409.
FAQs on Square of 152
1.What is the square of 152?
2.What is the square root of 152?
3.Is 152 a prime number?
4.What are the first few multiples of 152?
5.What is the square of 151?
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 152?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 152?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square of 152
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc.
- Exponent: The number that indicates how many times the base is multiplied by itself, represented by ² in the case of squares.
- Square root: The inverse operation of squaring, resulting in a value that, when multiplied by itself, gives the original number.
- Multiplication: A mathematical operation where a number is added to itself a certain number of times, such as finding the square by multiplying the number by itself.
- Even number: A number that is divisible by 2 without any remainder, such as 2, 4, 6, 8, etc.
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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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