122 LearnersLast updated on May 27th, 2025
Square of 1059
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 1059.
What is the Square of 1059
The square of a number is the product of the number with itself.
The square of 1059 is 1059 × 1059.
The square of a number often ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1059², where 1059 is the base and 2 is the exponent.
The square of a positive or negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 1059 is 1059 × 1059 = 1,121,481.
Square of 1059 in exponential form: 1059²
Square of 1059 in arithmetic form: 1059 × 1059
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How to Calculate the Value of Square of 1059
The square of a number is calculated by multiplying the number by itself. Below are 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 multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 1059.
Step 1: Identify the number. Here, the number is 1059.
Step 2: Multiplying the number by itself, we get, 1059 × 1059 = 1,121,481.
The square of 1059 is 1,121,481.
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 1059. So: 1059² = 1059 × 1059 = 1,121,481
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 1059.
Step 1: Enter the number in the calculator Enter 1059 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1059 × 1059
Step 3: Press the equal to button to find the answer Here, the square of 1059 is 1,121,481.
Tips and Tricks for the Square of 1059
Tips and tricks can make it easier to understand and learn the square of a number. To master the square of a number, these tips and tricks can help.
- 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 typically 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 1059
Mistakes are common among kids when doing math, especially when 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 steps or swap digits. To avoid this, students should double-check their answers. 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 incorrectly use (10 + 59)² or (1000 + 59)². So, students should check and use the correct formula and double-check answers to avoid 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 this, 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 parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and perform 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.
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Solved Examples on Square of 1059
Problem 1
Find the length of a square where the area of the square is 1,121,481 cm².
The area of a square = a²
So, the area of a square = 1,121,481 cm²
So, the length = √1,121,481 = 1059.
The length of each side = 1059 cm
Explanation
The length of a square is 1059 cm.
Because the area is 1,121,481 cm², the length is √1,121,481 = 1059.
Problem 2
Anna is planning to carpet her square room with a side length of 1059 feet. The cost to carpet a square foot is 10 dollars. How much will it cost to carpet the full room?
The length of the room = 1059 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 = 1059
Therefore, the area of the room = 1059² = 1059 × 1059 = 1,121,481.
The cost to carpet the room = 1,121,481 × 10 = 11,214,810.
The total cost = 11,214,810 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per square foot.
So, the total cost is 11,214,810 dollars.
Problem 3
Find the area of a circle whose radius is 1059 meters.
The area of the circle = 3,525,276.28 m²
Explanation
The area of a circle = πr²
Here, r = 1059
Therefore, the area of the circle = π × 1059² = 3.14 × 1059 × 1059 = 3,525,276.28 m².
Problem 4
The area of a square is 1,121,481 cm². Find the perimeter of the square.
The perimeter of the square is 4,236 cm.
Explanation
The area of the square = a²
Here, the area is 1,121,481 cm²
The length of the side is √1,121,481 = 1059
Perimeter of the square = 4a
Here, a = 1059
Therefore, the perimeter = 4 × 1059 = 4,236.
Problem 5
Find the square of 1060.
The square of 1060 is 1,123,600.
Explanation
The square of 1060 is found by multiplying 1060 by 1060.
So, the square = 1060 × 1060 = 1,123,600
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FAQs on Square of 1059
1.What is the square of 1059?
2.What is the square root of 1059?
3.Is 1059 a prime number?
4.What are the first few multiples of 1059?
5.What is the square of 1060?
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Important Glossaries for Square of 1059
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 11, etc.
- 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 the square. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Multiplication method: A method to find the square of a number by multiplying the number by itself.
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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.
