127 LearnersLast updated on May 29th, 2025
Square of 1282
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1282.
What is the Square of 1282
The square of a number is the product of the number by itself.
The square of 1282 is 1282 × 1282.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1282², where 1282 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 1282 is 1282 × 1282 = 1,643,524.
Square of 1282 in exponential form: 1282²
Square of 1282 in arithmetic form: 1282 × 1282
How to Calculate the Value of Square of 1282
The square of a number is calculated by multiplying the number by itself. 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 1282.
Step 1: Identify the number. Here, the number is 1282.
Step 2: Multiplying the number by itself, we get: 1282 × 1282 = 1,643,524.
The square of 1282 is 1,643,524.
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 1282.
So: 1282² = 1282 × 1282 = 1,643,524
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 1282.
Step 1: Enter the number in the calculator. Enter 1282 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1282 × 1282.
Step 3: Press the equal to button to find the answer. Here, the square of 1282 is 1,643,524.
Tips and Tricks for the Square of 1282
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 1282
Mistakes are common among kids when doing math, especially when it comes to 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 steps or swap digits. To avoid them, 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may incorrectly use (3+7)² or (30+7)² for 1282. So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion for students. To avoid it, students should understand that the 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 practice regularly to avoid errors.
Solved Examples on Square of 1282
Problem 1
Find the length of a square where the area of the square is 1,643,524 cm².
The area of a square = a²
So, the area of a square = 1,643,524 cm²
So, the length = √1,643,524 = 1282.
The length of each side = 1282 cm.
Explanation
The length of a square is 1282 cm.
Because the area is 1,643,524 cm², the length is √1,643,524 = 1282.
Problem 2
Tom is planning to paint his square wall of length 1282 feet. The cost to paint a square foot is 3 dollars. How much will it cost to paint the full wall?
The length of the wall = 1282 feet
The cost to paint 1 square foot of wall = 3 dollars.
To find the total cost to paint, we find the area of the wall.
Area of the wall = area of the square = a²
Here a = 1282
Therefore, the area of the wall = 1282² = 1282 × 1282 = 1,643,524.
The cost to paint the wall = 1,643,524 × 3 = 4,930,572.
The total cost = 4,930,572 dollars.
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.
So, the total cost is 4,930,572 dollars.
Problem 3
Find the area of a circle whose radius is 1282 meters.
The area of the circle = 5,163,330.76 m²
Explanation
The area of a circle = πr²
Here, r = 1282
Therefore, the area of the circle = π × 1282² = 3.14 × 1282 × 1282 = 5,163,330.76 m².
Problem 4
The area of a square is 1,643,524 cm². Find the perimeter of the square.
The perimeter of the square is 5128 cm.
Explanation
The area of the square = a²
Here, the area is 1,643,524 cm².
The length of the side is √1,643,524 = 1282.
Perimeter of the square = 4a
Here, a = 1282
Therefore, the perimeter = 4 × 1282 = 5128.
Problem 5
Find the square of 1283.
The square of 1283 is 1,646,089.
Explanation
The square of 1283 is found by multiplying 1283 by 1283.
So, the square = 1283 × 1283 = 1,646,089.
FAQs on Square of 1282
1.What is the square of 1282?
2.What is the square root of 1282?
3.Is 1282 a prime number?
4.What are the first few multiples of 1282?
5.What is the square of 1281?
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 1282?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1282?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 1282.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16.
- Exponential form: A way of writing numbers using a base and an exponent. For example, 1282².
- Perimeter: The total length around a 2D shape. For example, the perimeter of a square is 4 times one of its sides.
- Area: The measure of the surface enclosed within a shape's boundaries. For example, the area of a square is side × side.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 2, 3, 5, 7.
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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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