Last updated on June 3rd, 2025
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.
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
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.
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.
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
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.
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.
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
The length of a square is 49 cm. Because the area is 2401 cm² the length is √2401 = 49.
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.
To find the length of the fencing needed, we calculate the perimeter of the square garden. So, the total fencing required is 196 meters.
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
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.
The area of the square is 2401 cm². Find the perimeter of the square.
The perimeter of the square is 196 cm.
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.
Find the square of 50.
The square of 50 is 2500.
The square of 50 is multiplying 50 by 50. So, the square = 50 × 50 = 2500.
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.
: He loves to play the quiz with kids through algebra to make kids love it.