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Last updated on May 29th, 2025

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Square of 707

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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 707.

Square of 707 for Qatari Students
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What is the Square of 707

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

 

The square of 707 is 707 × 707.

 

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

 

We write it in math as 707², where 707 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 707 is 707 × 707 = 499,849.

 

Square of 707 in exponential form: 707²

 

Square of 707 in arithmetic form: 707 × 707

 

square of 707

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How to Calculate the Value of the Square of 707

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
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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 707.

 

Step 1: Identify the number. Here, the number is 707.

 

Step 2: Multiplying the number by itself, we get, 707 × 707 = 499,849.

 

The square of 707 is 499,849.

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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 707

So: 707² = 707 × 707 = 499,849

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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 707.

 

Step 1: Enter the number in the calculator. Enter 707 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 707 × 707

 

Step 3: Press the equal to button to find the answer. Here, the square of 707 is 499,849.

 

Tips and Tricks for the Square of 707

 

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.
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Common Mistakes to Avoid When Calculating the Square of 707

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

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Calculation errors:

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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.

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Solved Examples on Square of 707

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Problem 1

Find the length of the square, where the area of the square is 499,849 cm².

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The area of a square = a²

 

So, the area of a square = 499,849 cm²

 

So, the length = √499,849 = 707.

 

The length of each side = 707 cm

Explanation

The length of a square is 707 cm.

Because the area is 499,849 cm², the length is √499,849 = 707.

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Problem 2

A farmer is planning to fence his square field of length 707 meters. The cost to fence a meter is 5 dollars. Then how much will it cost to fence the entire field?

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The length of the field = 707 meters

 

The cost to fence 1 meter of the field = 5 dollars.

 

To find the total cost to fence, we find the perimeter of the field.

 

Perimeter of the field = 4 × 707 = 2828 meters.

 

The cost to fence the field = 2828 × 5 = 14,140.

 

The total cost = 14,140 dollars

Explanation

To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per meter. So, the total cost is 14,140 dollars.

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Problem 3

Find the area of a circle whose radius is 707 meters.

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The area of the circle = 1,569,287.46 m²

Explanation

The area of a circle = πr²

 

Here, r = 707

 

Therefore, the area of the circle = π × 707² = 3.14 × 707 × 707 = 1,569,287.46 m².

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Problem 4

The area of a square is 500,000 cm². Find the approximate length of the side of the square.

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The approximate length of the side of the square is 707 cm.

Explanation

The area of the square = a² Here, the area is 500,000 cm².

 

So, the length of the side is approximately √500,000 ≈ 707.

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Problem 5

Find the square of 708.

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The square of 708 is 501,264.

Explanation

The square of 708 is multiplying 708 by 708.

 

So, the square = 708 × 708 = 501,264.

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FAQs on Square of 707

1.What is the square of 707?

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2.What is the square root of 707?

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3.Is 707 a prime number?

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4.What are the first few multiples of 707?

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5.What is the square of 706?

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

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7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 707?

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8.How do technology and digital tools in Qatar support learning Algebra and Square of 707?

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

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Important Glossaries for Square of 707.

  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.

 

  • Exponent: The power to which a number is raised. It indicates how many times the number is multiplied by itself. For example, in 707², 2 is the exponent.

 

  • Square root: The square root of a number is a value that, when multiplied by itself, gives the original number.

 

  • Multiplication method: A method to find the square by multiplying the number by itself.

 

  • Formula: A mathematical expression used to calculate a value. For example, a² is the formula to calculate the square of a number a.
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About BrightChamps in Qatar

At BrightChamps, algebra is more than just numbers—it opens doors to countless opportunities! Our goal is to help children throughout Qatar develop essential math skills, with today’s lesson focused on the Square of 707 and a special spotlight on understanding squares—in a fun, lively, and clear way. Whether your child is timing a roller coaster at Qatar’s Angry Birds World, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to face daily challenges. Our lessons are designed to make math easy and enjoyable. Since kids in Qatar have diverse learning styles, we tailor our approach for each individual. From Doha’s modern cityscape to the desert landscapes, BrightChamps brings math to life, making it engaging and relatable throughout Qatar. Let’s make squares a fun 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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