131 LearnersLast updated on May 27th, 2025
Square of 1058
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 1058.
What is the Square of 1058
The square of a number is the product of the number itself.
The square of 1058 is 1058 × 1058.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1058², where 1058 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 1058 is 1058 × 1058 = 1119364.
Square of 1058 in exponential form: 1058²
Square of 1058 in arithmetic form: 1058 × 1058
How to Calculate the Value of Square of 1058
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 (a2)
- 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 1058.
Step 1: Identify the number. Here, the number is 1058.
Step 2: Multiplying the number by itself, we get, 1058 × 1058 = 1119364.
The square of 1058 is 1119364.
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 1058 So: 1058² = 1058 × 1058 = 1119364
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 1058.
Step 1: Enter the number in the calculator Enter 1058 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1058 × 1058
Step 3: Press the equal to button to find the answer Here, the square of 1058 is 1119364.
Tips and Tricks for the Square of 1058
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 1058
Mistakes are common among students when doing math, especially when it involves 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 when using the formula.
The formula to find the square of a number is a². Instead, students may use 1058² with incorrect breakdowns like (1000 + 58)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 perform the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 1058
Problem 1
Find the length of a square, where the area of the square is 1119364 cm².
The area of a square = a²
So, the area of a square = 1119364 cm²
So, the length = √1119364 = 1058.
The length of each side = 1058 cm
Explanation
The length of a square is 1058 cm.
Because the area is 1119364 cm², the length is √1119364 = 1058.
Problem 2
Anna wants to carpet her square room with a side length of 1058 feet. The cost to carpet a square foot is 10 dollars. How much will it cost to carpet the whole room?
The length of the room = 1058 feet
The cost to carpet 1 square foot of the room = 10 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 = 1058
Therefore, the area of the room = 1058² = 1058 × 1058 = 1119364.
The cost to carpet the room = 1119364 × 10 = 11193640.
The total cost = 11193640 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 11193640 dollars.
Problem 3
Find the area of a circle whose radius is 1058 meters.
The area of the circle = 3,518,651.44 m²
Explanation
The area of a circle = πr²
Here, r = 1058
Therefore, the area of the circle = π × 1058² = 3.14 × 1058 × 1058 = 3,518,651.44 m².
Problem 4
The area of a square is 1119364 cm². Find the perimeter of the square.
The perimeter of the square is 4232 cm.
Explanation
The area of the square = a²
Here, the area is 1119364 cm²
The length of the side is √1119364 = 1058
Perimeter of the square = 4a
Here, a = 1058
Therefore, the perimeter = 4 × 1058 = 4232 cm.
Problem 5
Find the square of 1059.
The square of 1059 is 1121081.
Explanation
The square of 1059 is multiplying 1059 by 1059.
So, the square = 1059 × 1059 = 1121081.
FAQs on Square of 1058
1.What is the square of 1058?
2.What is the square root of 1058?
3.Is 1058 a prime number?
4.What are the first few multiples of 1058?
5.What is the square of 1057?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 1058?
8.How do technology and digital tools in Canada support learning Algebra and Square of 1058?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square 1058.
- Perfect square: A number that is the square of an integer. For example, 144, 169, 196, etc.
- Exponent: The power to which a number is raised, indicating repeated multiplication. For example, in 2³, 3 is the exponent.
- Square: The product of a number multiplied by itself. For instance, 5² = 25.
- Multiplication method: A basic arithmetic operation method where a number is multiplied by itself to find the square.
- Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6.
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Jaskaran Singh Saluja
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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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