117 LearnersLast updated on May 26th, 2025
Square of 703
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 703.
What is the Square of 703
The square of a number is the product of the number itself. The square of 703 is 703 × 703. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 703², where 703 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 703 is 703 × 703 = 494,209.
Square of 703 in exponential form: 703²
Square of 703 in arithmetic form: 703 × 703
How to Calculate the Value of Square of 703
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 703.
Step 1: Identify the number. Here, the number is 703.
Step 2: Multiplying the number by itself, we get, 703 × 703 = 494,209.
The square of 703 is 494,209.
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 703. So: 703² = 703 × 703 = 494,209
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 703.
Step 1: Enter the number in the calculator. Enter 703 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 703 × 703.
Step 3: Press the equal to button to find the answer. Here, the square of 703 is 494,209.
Tips and Tricks for the Square of 703
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 703
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 703² with (7+0+3)² or (700+3)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 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 703
Problem 1
Find the length of the square, where the area of the square is 494,209 cm².
The area of a square = a²
So, the area of a square = 494,209 cm²
So, the length = √494,209 = 703.
The length of each side = 703 cm
Explanation
The length of a square is 703 cm. Because the area is 494,209 cm², the length is √494,209 = 703.
Problem 2
Sarah is planning to tile her square floor of length 703 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 703 feet
The cost to tile 1 square foot of the floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 703
Therefore, the area of the floor = 703² = 703 × 703 = 494,209.
The cost to tile the floor = 494,209 × 5 = 2,471,045.
The total cost = 2,471,045 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2,471,045 dollars.
Problem 3
Find the area of a circle whose radius is 703 meters.
The area of the circle = 1,553,656.66 m²
Explanation
The area of a circle = πr²
Here, r = 703
Therefore, the area of the circle = π × 703²
= 3.14 × 703 × 703
= 1,553,656.66 m²
Problem 4
The area of the square is 494,209 cm². Find the perimeter of the square.
The perimeter of the square is 2,812 cm
Explanation
The area of the square = a²
Here, the area is 494,209 cm²
The length of the side is √494,209 = 703
Perimeter of the square = 4a
Here, a = 703
Therefore, the perimeter = 4 × 703 = 2,812 cm
Problem 5
Find the square of 704.
The square of 704 is 495,616
Explanation
The square of 704 is multiplying 704 by 704.
So, the square = 704 × 704 = 495,616
FAQs on Square of 703
1.What is the square of 703?
2.What is the square root of 703?
3.Is 703 a prime number?
4.What are the first few multiples of 703?
5.What is the square of 702?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 703?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 703?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 703.
- Prime Number: A number that is only divisible by 1 and the number itself.
- Exponential Form: Writing a number in the form of a power, such as 703², where 703 is the base and 2 is the exponent.
- Perfect Square: A number that is the square of an integer, such as 494,209, which is 703².
- Calculator: A tool used to perform arithmetic operations, such as finding the square of a number.
- Inverse Operations: Operations that reverse the effects of each other, such as squaring and square rooting.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 703
About BrightChamps in United Kingdom
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.
