133 LearnersLast updated on May 29th, 2025
Square of 709
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 709.
What is the Square of 709
The square of a number is the product of the number itself.
The square of 709 is 709 × 709.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 709², where 709 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 709 is 709 × 709 = 502,681.
Square of 709 in exponential form: 709²
Square of 709 in arithmetic form: 709 × 709
How to Calculate the Value of Square of 709
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 709.
Step 1: Identify the number. Here, the number is 709.
Step 2: Multiplying the number by itself, we get, 709 × 709 = 502,681.
The square of 709 is 502,681.
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 709
So: 709² = 709 × 709 = 502,681
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 709.
Step 1: Enter the number in the calculator. Enter 709 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 709 × 709
Step 3: Press the equal to button to find the answer. Here, the square of 709 is 502,681.
Tips and Tricks for the Square of 709
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 709
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 709² with (700 + 9)² incorrectly. 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 errors.
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 709
Problem 1
Find the length of the square, where the area of the square is 502,681 cm².
The area of a square = a²
So, the area of a square = 502,681 cm²
So, the length = √502,681 = 709.
The length of each side = 709 cm
Explanation
The length of a square is 709 cm.
Because the area is 502,681 cm², the length is √502,681 = 709.
Problem 2
Anna wants to cover her square garden of length 709 feet with grass. The cost to cover a square foot of garden is 5 dollars. How much will it cost to cover the full garden?
The length of the garden = 709 feet
The cost to cover 1 square foot of garden = 5 dollars.
To find the total cost to cover, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 709
Therefore, the area of the garden = 709² = 709 × 709 = 502,681.
The cost to cover the garden = 502,681 × 5 = 2,513,405.
The total cost = 2,513,405 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 2,513,405 dollars.
Problem 3
Find the area of a circle whose radius is 709 meters.
The area of the circle = 1,577,926.66 m²
Explanation
The area of a circle = πr²
Here, r = 709
Therefore, the area of the circle = π × 709² = 3.14 × 709 × 709 = 1,577,926.66 m².
Problem 4
The area of the square is 502,681 cm². Find the perimeter of the square.
The perimeter of the square is 2,836 cm.
Explanation
The area of the square = a²
Here, the area is 502,681 cm²
The length of the side is √502,681 = 709
Perimeter of the square = 4a
Here, a = 709
Therefore, the perimeter = 4 × 709 = 2,836.
Problem 5
Find the square of 710.
The square of 710 is 504,100
Explanation
The square of 710 is multiplying 710 by 710.
So, the square = 710 × 710 = 504,100
FAQs on Square of 709
1.What is the square of 709?
2.What is the square root of 709?
3.Is 709 a prime number?
4.What are the first few multiples of 709?
5.What is the square of 710?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 709?
8.How do technology and digital tools in United States support learning Algebra and Square of 709?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 709.
- Prime number: A number that is only divisible by 1 and itself. For example, 709.
- Exponential form: The way of writing a number in the form of a power. For example, 709² where 709 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 number whose square is the number itself.
- Multiplication method: A method of finding the square by multiplying the number by itself.
- Perfect square: A number that is the square of an integer. For example, 502,681 is a perfect square of 709.
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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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