135 LearnersLast updated on June 3rd, 2025
Square of 49
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 49.
What is the Square of 49
The square of a number is the product of the number itself. The square of 49 is 49 × 49. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 49², where 49 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 49 is 49 × 49 = 2401.
Square of 49 in exponential form: 49²
Square of 49 in arithmetic form: 49 × 49
How to Calculate the Value of Square of 49
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 49.
Step 1: Identify the number. Here, the number is 49.
Step 2: Multiplying the number by itself, we get, 49 × 49 = 2401.
The square of 49 is 2401.
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 49.
So: 49² = 49 × 49 = 2401
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 49.
Step 1: Enter the number in the calculator Enter 49 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 49 × 49
Step 3: Press the equal to button to find the answer Here, the square of 49 is 2401.
Tips and Tricks for the Square of 49
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 49
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 49² with (4+9)² or (40+9)². 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 error.
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 49
Problem 1
Find the length of the square, where the area of the square is 2401 cm².
The area of a square = a²
So, the area of a square = 2401 cm²
So, the length = √2401 = 49.
The length of each side = 49 cm
Explanation
The length of a square is 49 cm. Because the area is 2401 cm² the length is √2401 = 49.
Problem 2
Sarah has a square garden with a side length of 49 meters. She wants to build a fence around it. How many meters of fencing does she need?
The length of the garden = 49 meters
The perimeter of the square = 4a
Here a = 49
Therefore, the perimeter = 4 × 49 = 196 meters.
Sarah needs 196 meters of fencing.
Explanation
To find the length of the fencing needed, we calculate the perimeter of the square garden. So, the total fencing required is 196 meters.
Problem 3
Find the area of a triangle where the base is 49 meters and the height is 40 meters.
The area of the triangle = 980 m²
Explanation
The area of a triangle = 0.5 × base × height
Here, base = 49 and height = 40
Therefore, the area of the triangle = 0.5 × 49 × 40 = 980 m².
Problem 4
The area of the square is 2401 cm². Find the perimeter of the square.
The perimeter of the square is 196 cm.
Explanation
The area of the square = a²
Here, the area is 2401 cm²
The length of the side is √2401 = 49
Perimeter of the square = 4a
Here, a = 49
Therefore, the perimeter = 4 × 49 = 196 cm.
Problem 5
Find the square of 50.
The square of 50 is 2500.
Explanation
The square of 50 is multiplying 50 by 50. So, the square = 50 × 50 = 2500.
FAQs on Square of 49
1.What is the square of 49?
2.What is the square root of 49?
3.Is 49 a prime number?
4.What are the first few multiples of 49?
5.What is the square of 48?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 49?
8.How do technology and digital tools in Canada support learning Algebra and Square of 49?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square 49.
- Perfect square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7².
- Exponent: An exponent refers to the number of times a number (base) is multiplied by itself. For example, in 2³, 3 is the exponent.
- Square root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 49 is 7.
- Perimeter: The total distance around a two-dimensional shape. For a square, it is calculated as 4 times the side length.
- Area: The measure of the surface of a shape. For a square, it is calculated as the side length squared.
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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
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