126 LearnersLast updated on May 28th, 2025
Square of 1248
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 this topic, we will discuss the square of 1248.
What is the Square of 1248
The square of a number is the product of the number itself.
The square of 1248 is 1248 × 1248.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1248², where 1248 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 1248 is 1248 × 1248 = 1,558,784.
Square of 1248 in exponential form: 1248²
Square of 1248 in arithmetic form: 1248 × 1248
How to Calculate the Value of Square of 1248
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 (a2)
- 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 1248.
Step 1: Identify the number. Here, the number is 1248.
Step 2: Multiplying the number by itself, we get, 1248 × 1248 = 1,558,784.
The square of 1248 is 1,558,784.
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 1248
So: 1248² = 1248 × 1248 = 1,558,784
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 1248.
Step 1: Enter the number in the calculator. Enter 1248 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1248 × 1248
Step 3: Press the equal to button to find the answer. Here, the square of 1248 is 1,558,784.
Tips and Tricks for the Square of 1248
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 1248
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 swap 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 1248² with (1+2+4+8)² or (1200+48)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 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 1248
Problem 1
Find the length of the square, where the area of the square is 1,558,784 cm².
The area of a square = a²
So, the area of a square = 1,558,784 cm²
So, the length = √1,558,784 = 1248.
The length of each side = 1248 cm
Explanation
The length of a square is 1248 cm.
Because the area is 1,558,784 cm², the length is √1,558,784 = 1248.
Problem 2
Lisa wants to plant a square garden with a side length of 1248 feet. The cost to plant a foot is 5 dollars. How much will it cost to plant the full garden?
The length of the garden = 1248 feet
The cost to plant 1 square foot of garden = 5 dollars.
To find the total cost to plant, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 1248
Therefore, the area of the garden = 1248² = 1248 × 1248 = 1,558,784.
The cost to plant the garden = 1,558,784 × 5 = 7,793,920.
The total cost = 7,793,920 dollars
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per foot.
So, the total cost is 7,793,920 dollars.
Problem 3
Find the area of a circle whose radius is 1248 meters.
The area of the circle = 4,897,253.12 m²
Explanation
The area of a circle = πr²
Here, r = 1248
Therefore, the area of the circle = π × 1248² = 3.14 × 1248 × 1248 = 4,897,253.12 m².
Problem 4
The area of the square is 1,558,784 cm². Find the perimeter of the square.
The perimeter of the square is 4,992 cm
Explanation
The area of the square = a²
Here, the area is 1,558,784 cm²
The length of the side is √1,558,784 = 1248
Perimeter of the square = 4a
Here, a = 1248
Therefore, the perimeter = 4 × 1248 = 4,992.
Problem 5
Find the square of 1249.
The square of 1249 is 1,560,001
Explanation
The square of 1249 is multiplying 1249 by 1249.
So, the square = 1249 × 1249 = 1,560,001
FAQs on Square of 1248
1.What is the square of 1248?
2.What is the square root of 1248?
3.Is 1248 a prime number?
4.What are the first few multiples of 1248?
5.What is the square of 1300?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 1248?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1248?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 1248.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: The number that indicates how many times a base is multiplied by itself. For example, in 1248², 2 is the exponent.
- Multiplication: The process of finding the product of two numbers or more.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Prime number: A number that has no divisors other than 1 and itself.
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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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