121 LearnersLast updated on May 26th, 2025
Square of 980
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 980.
What is the Square of 980
The square of a number is the product of the number by itself. The square of 980 is 980 × 980. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 980², where 980 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 980 is 980 × 980 = 960400.
Square of 980 in exponential form: 980²
Square of 980 in arithmetic form: 980 × 980
How to Calculate the Value of Square of 980
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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 980.
Step 1: Identify the number. Here, the number is 980.
Step 2: Multiplying the number by itself, we get, 980 × 980 = 960400.
The square of 980 is 960400.
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 980.
So: 980² = 980 × 980 = 960400
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 980.
Step 1: Enter the number in the calculator Enter 980 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 980 × 980.
Step 3: Press the equal to button to find the answer. Here, the square of 980 is 960400.
Tips and Tricks for the Square of 980
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 980
Mistakes are common among kids when doing math, especially when it involves 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 this, 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 980² with (9 + 8 + 0)² or (900 + 80)². So, students should check and use the correct formula and double-check the answers to avoid 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 this, 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 perform the 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 980
Problem 1
A square garden has an area of 960400 square meters. What is the length of one side of the garden?
The area of a square = a²
So, the area of the square = 960400 m²
So, the length of each side = √960400
= 980 meters.
Explanation
The length of the garden is 980 meters. Because the area is 960400 m², the length is √960400 = 980.
Problem 2
A painter is covering a square wall that is 980 feet long. The cost to paint a square foot is 2 dollars. What will be the total cost to paint the entire wall?
The length of the wall = 980 feet
The cost to paint 1 square foot of wall = 2 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 = 980
Therefore, the area of the wall = 980² = 980 × 980 = 960400.
cost to paint the wall = 960400 × 2 = 1920800 dollars.
Explanation
To find the cost to paint the wall, multiply the area of the wall by the cost to paint per foot. So, the total cost is 1920800 dollars.
Problem 3
Find the area of a circle with a radius of 980 meters.
The area of the circle = 3,019,336.8 m²
Explanation
The area of a circle = πr²
Here, r = 980
Therefore, the area of the circle = π × 980²
= 3.14 × 980 × 980
= 3,019,336.8 m².
Problem 4
The area of a square is 960400 cm². Find the perimeter of the square.
The perimeter of the square is 3920 cm.
Explanation
The area of the square = a²
Here, the area is 960400 cm²
The length of the side is √960400 = 980 cm.
Perimeter of the square = 4a
Here, a = 980
Therefore, the perimeter = 4 × 980 = 3920 cm.
Problem 5
Find the square of 981.
The square of 981 is 962361.
Explanation
The square of 981 is multiplying 981 by 981. So, the square = 981 × 981 = 962361.
FAQs on Square of 980
1.What is the square of 980?
2.What is the square root of 980?
3.Is 980 a perfect square?
4.What are the first few multiples of 980?
5.What is the square of 981?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 980?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 980?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 980.
- Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponent: A number that represents how many times the base is multiplied by itself. For example, in 9², 2 is the exponent.
- Square root: The number which, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
- Multiplication: The arithmetic operation of combining groups of equal sizes; repeated addition.
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About BrightChamps in Singapore
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.
