100 LearnersLast updated on May 26th, 2025
Square of 985
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 985.
What is the Square of 985
The square of a number is the product of the number itself. The square of 985 is 985 × 985. The square of a number typically ends in certain digits such as 0, 1, 4, 5, 6, or 9. We write it in math as 985², where 985 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 985 is 985 × 985 = 970225.
Square of 985 in exponential form: 985²
Square of 985 in arithmetic form: 985 × 985
How to Calculate the Value of Square of 985
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
- 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 985.
Step 1: Identify the number. Here, the number is 985.
Step 2: Multiplying the number by itself, we get, 985 × 985 = 970225.
The square of 985 is 970225.
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 985.
So: 985² = 985 × 985 = 970225
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 985.
Step 1: Enter the number in the calculator Enter 985 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 985 × 985
Step 3: Press the equal to button to find the answer Here, the square of 985 is 970225.
Tips and Tricks for the Square of 985
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 anumber 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 985
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 else by swapping 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.
Solved Examples on Square of 985
Problem 1
Find the length of the square, where the area of the square is 970225 cm².
The area of a square = a²
So, the area of a square = 970225 cm²
So, the length = √970225 = 985.
The length of each side = 985 cm
Explanation
The length of a square is 985 cm. Because the area is 970225 cm² the length is √970225 = 985.
Problem 2
Sarah wants to cover her square garden with grass. The garden has a side length of 985 meters. The cost to cover one square meter with grass is 2 dollars. What will be the total cost to cover the garden?
The length of the garden = 985 meters
The cost to cover 1 square meter of the garden = 2 dollars.
To find the total cost to cover the garden, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 985
Therefore, the area of the garden = 985² = 985 × 985 = 970225.
The cost to cover the garden = 970225 × 2 = 1940450.
The total cost = 1940450 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per square meter. So, the total cost is 1940450 dollars.
Problem 3
Find the area of a circle whose radius is 985 meters.
The area of the circle = 3,048,930.25 m²
Explanation
The area of a circle = πr²
Here, r = 985
Therefore, the area of the circle = π × 985²
= 3.14 × 985 × 985
= 3,048,930.25 m².
Problem 4
The area of the square is 992025 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 992025 cm²
The length of the side is √992025 = 995
Perimeter of the square = 4a
Here, a = 995
Therefore, the perimeter = 4 × 995 = 3980.
Problem 5
Find the square of 986.
The square of 986 is 972196
Explanation
The square of 986 is multiplying 986 by 986. So, the square = 986 × 986 = 972196
FAQs on Square of 985
1.What is the square of 985?
2.What is the square root of 985?
3.Is 985 a prime number?
4.What are the first few multiples of 985?
5.What is the square of 986?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 985?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 985?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 985.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Radical Notation: A way of expressing roots, like square roots. For example, √9 equals 3.
- Exponentiation: The process of raising a number to a power. For example, 3² means 3 is raised to the power of 2.
- Factor: Numbers that can be multiplied together to get another number. For example, 1, 2, 4 are factors of 4.
- Polynomial: A mathematical expression that can include constants, variables, and exponents. For example, x² + 2x + 3.
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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.
