117 LearnersLast updated on May 26th, 2025
Square of 145
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 145.
What is the Square of 145
The square of a number is the product of the number itself. The square of 145 is 145 × 145. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 145², where 145 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 145 is 145 × 145 = 21,025. Square of 145 in exponential form: 145² Square of 145 in arithmetic form: 145 × 145
How to Calculate the Value of Square of 145
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 145.
Step 1: Identify the number. Here, the number is 145.
Step 2: Multiplying the number by itself, we get, 145 × 145 = 21,025. The square of 145 is 21,025.
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 145. So: 145² = 145 × 145 = 21,025
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 145.
Step 1: Enter the number in the calculator Enter 145 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 145 × 145.
Step 3: Press the equal to button to find the answer Here, the square of 145 is 21,025.
Tips and Tricks for the Square of 145 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 145
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 145² with (14 + 5)² or (140 + 5)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 145
Problem 1
Find the side length of a square field, where the area of the square is 21,025 m².
The area of a square = a² So, the area of a square = 21,025 m² So, the side length = √21,025 = 145. The side length of the field = 145 m
Explanation
The side length of a square field is 145 m.
Because the area is 21,025 m², the side length is √21,025 = 145.
Problem 2
Sarah wants to carpet her square living room, which has a side length of 145 feet. The cost to carpet a square foot is 5 dollars. How much will it cost to carpet the entire room?
The side length of the room = 145 feet The cost to carpet 1 square foot of the room = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 145 Therefore, the area of the room = 145² = 145 × 145 = 21,025. The cost to carpet the room = 21,025 × 5 = 105,125. The total cost = 105,125 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.
So, the total cost is 105,125 dollars.
Problem 3
Find the area of a circle whose radius is 145 meters.
The area of the circle = 66,132.25 m²
Explanation
The area of a circle = πr²
Here, r = 145
Therefore, the area of the circle = π × 145²
= 3.14 × 145 × 145
= 66,132.25 m².
Problem 4
The area of the square is 21,025 cm². Find the perimeter of the square.
The perimeter of the square is 580 cm.
Explanation
The area of the square = a²
Here, the area is 21,025 cm²
The length of the side is √21,025 = 145
Perimeter of the square = 4a
Here, a = 145
Therefore, the perimeter = 4 × 145 = 580 cm.
Problem 5
Find the square of 146.
The square of 146 is 21,316.
Explanation
The square of 146 is multiplying 146 by 146.
So, the square = 146 × 146 = 21,316.
FAQs on Square of 145
1.What is the square of 145?
2.What is the square root of 145?
3.Is 145 a prime number?
4.What are the first few multiples of 145?
5.What is the square of 144?
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 145?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 145?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square 145.
- Prime number: A prime number is any number greater than 1 that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, ...
- Exponential form: Exponential form is a way of writing numbers using a base and an exponent, such as 92 where 9 is the base and 2 is the exponent.
- Square root: The square root is the inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Even number: An even number is an integer that is exactly divisible by 2. For example, 2, 4, 6, 8, 10, ...
- Odd number: An odd number is an integer that is not divisible by 2. For example, 1, 3, 5, 7, 9, ...
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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.
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