108 LearnersLast updated on May 26th, 2025
Square of 948
The product of multiplying an integer by itself is the square of a number. The concept of squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 948.
What is the Square of 948
The square of a number is the product of the number with itself. The square of 948 is 948 × 948. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 948², where 948 is the base and 2 is the exponent. The square of a positive or a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 948 is 948 × 948 = 898,704.
Square of 948 in exponential form: 948²
Square of 948 in arithmetic form: 948 × 948
How to Calculate the Value of Square of 948
The square of a number is found by multiplying the number by itself. Here 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 948.
Step 1: Identify the number. Here, the number is 948.
Step 2: Multiply the number by itself, we get, 948 × 948 = 898,704.
The square of 948 is 898,704.
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 948. So: 948² = 948 × 948 = 898,704
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 948.
Step 1: Enter the number in the calculator Enter 948 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 948 × 948
Step 3: Press the equal button to find the answer Here, the square of 948 is 898,704.
Tips and Tricks for the Square of 948
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 948
Mistakes are common among students when doing math, especially when 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 occur when students skip steps or swap digits. To avoid this, students should double-check their answers. 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.
Solved Examples on Square of 948
Problem 1
Find the length of the square, where the area of the square is 898,704 cm².
The area of a square = a²
So, the area of a square = 898,704 cm²
So, the length = √898,704 = 948.
The length of each side = 948 cm
Explanation
The length of a square is 948 cm.
Because the area is 898,704 cm², the length is √898,704 = 948.
Problem 2
Sarah is planning to tile her square patio of length 948 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full patio?
The length of the patio = 948 feet
The cost to tile 1 square foot of the patio = 5 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 948
Therefore, the area of the patio = 948² = 948 × 948 = 898,704.
The cost to tile the patio = 898,704 × 5 = 4,493,520.
The total cost = 4,493,520 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 4,493,520 dollars.
Problem 3
Find the area of a circle whose radius is 948 meters.
The area of the circle = 2,821,000.56 m²
Explanation
The area of a circle = πr²
Here, r = 948
Therefore, the area of the circle = π × 948² = 3.14 × 948 × 948 = 2,821,000.56 m².
Problem 4
The area of the square is 898,704 cm². Find the perimeter of the square.
The perimeter of the square is 3,792 cm.
Explanation
The area of the square = a²
Here, the area is 898,704 cm²
The length of the side is √898,704 = 948
Perimeter of the square = 4a
Here, a = 948
Therefore, the perimeter = 4 × 948 = 3,792 cm.
Problem 5
Find the square of 949.
The square of 949 is 900,601.
Explanation
The square of 949 is multiplying 949 by 949.
So, the square = 949 × 949 = 900,601.
FAQs on Square of 948
1.What is the square of 948?
2.What is the square root of 948²?
3.Is 948 a prime number?
4.What are the first few multiples of 948?
5.What is the square of 950?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 948?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 948?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 948.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square as it is 4².
- Exponent: The exponent of a number shows how many times the number is multiplied by itself. In 948², 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. For example, the square root of 144 is 12.
- Multiplication method: A method of finding the square by multiplying a number by itself.
- Perimeter: The total length of the boundary of a closed shape. For a square, it is 4 times the length of a side.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
