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Last updated on May 29th, 2025

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Square of 1300

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The product of multiplying an integer by itself is the square of a number. The concept of squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 1300.

Square of 1300 for Singaporean Students
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What is the Square of 1300

The square of a number is the product of the number multiplied by itself.

 

The square of 1300 is 1300 × 1300.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 1300², where 1300 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 1300 is 1300 × 1300 = 1,690,000.

 

Square of 1300 in exponential form: 1300²

 

Square of 1300 in arithmetic form: 1300 × 1300

 

square of 1300

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How to Calculate the Value of the Square of 1300

The square of a number is found by multiplying the number by itself. 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
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By the Multiplication Method

In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1300.

 

Step 1: Identify the number. Here, the number is 1300.

 

Step 2: Multiplying the number by itself, we get, 1300 × 1300 = 1,690,000.

 

The square of 1300 is 1,690,000.

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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 1300.

So: 1300² = 1300 × 1300 = 1,690,000

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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 1300.

 

Step 1: Enter the number in the calculator. Enter 1300 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 1300 × 1300.

 

Step 3: Press the equal button to find the answer. Here, the square of 1300 is 1,690,000.

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Tips and Tricks for the Square of 1300

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.

 

  • 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.
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Common Mistakes to Avoid When Calculating the Square of 1300

Mistakes are common among kids when doing math, especially when it comes to finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip steps or swap 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.

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Solved Examples on Square of 1300

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Problem 1

Find the length of the square, where the area of the square is 1,690,000 cm².

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The area of a square = a²

 

So, the area of a square = 1,690,000 cm²

 

So, the length = √1,690,000 = 1300.

 

The length of each side = 1300 cm

Explanation

The length of a square is 1300 cm.

 

Because the area is 1,690,000 cm², the length is √1,690,000 = 1300.

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Problem 2

Sara is planning to carpet her square living room of length 1300 feet. The cost to carpet a square foot is 5 dollars. How much will it cost to carpet the entire room?

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The length of the room = 1300 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 = 1300

 

Therefore, the area of the room = 1300² = 1300 × 1300 = 1,690,000.

 

The cost to carpet the room = 1,690,000 × 5 = 8,450,000.

 

The total cost = 8,450,000 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 8,450,000 dollars.

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Problem 3

Find the area of a circle whose radius is 1300 meters.

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The area of the circle = 5,309,000 m²

Explanation

The area of a circle = πr²

 

Here, r = 1300

 

Therefore, the area of the circle = π × 1300² = 3.14 × 1300 × 1300 = 5,309,000 m².

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Problem 4

The area of the square is 1,690,000 cm². Find the perimeter of the square.

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The perimeter of the square is 5,200 cm.

Explanation

The area of the square = a²

 

Here, the area is 1,690,000 cm²

 

The length of the side is √1,690,000 = 1300

 

Perimeter of the square = 4a

 

Here, a = 1300

 

Therefore, the perimeter = 4 × 1300 = 5,200.

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Max, the Girl Character from BrightChamps

Problem 5

Find the square of 1301.

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The square of 1301 is 1,692,601.

Explanation

The square of 1301 is multiplying 1301 by 1301.

 

So, the square = 1301 × 1301 = 1,692,601.

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FAQs on Square of 1300

1.What is the square of 1300?

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2.What is the square root of 1300?

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3.Is 1300 a prime number?

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4.What are the first few multiples of 1300?

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5.What is the square of 1299?

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6.How does learning Algebra help students in Singapore make better decisions in daily life?

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7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 1300?

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8.How do technology and digital tools in Singapore support learning Algebra and Square of 1300?

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9.Does learning Algebra support future career opportunities for students in Singapore?

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Professor Greenline from BrightChamps

Important Glossaries for Square of 1300.

  • Perfect Square: A number that is the square of an integer. For example, 169 is a perfect square because it is 13².

 

  • Exponential Form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.

 

  • 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.

 

  • Even Number: An integer that is exactly divisible by 2. For example, 2, 4, 6, 8, etc.

 

  • Odd Number: An integer that is not divisible by 2. For example, 1, 3, 5, 7, etc.
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About BrightChamps in Singapore

At BrightChamps, algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to help kids all over Singapore strengthen their math skills, with today’s lesson centered on the Square of 1300 and a special focus on understanding squares—in a fun, engaging, and easy-to-follow way. Whether your child is timing a roller coaster at Universal Studios Singapore, keeping score at a local football match, or managing their allowance for the latest gadgets, algebra helps boost their confidence in daily life. Our lessons are designed to make learning simple and enjoyable. Since kids in Singapore learn in many different ways, we personalize our approach for each child. From the bustling city to the scenic gardens, BrightChamps brings math to life, making it relatable and exciting throughout Singapore. Let’s make squares an enjoyable part of every child’s math journey!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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